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Paper Citation Record · LEDGER

Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity

As of 22 August 2026, this Paper Citation Record lists 67 of 67 outbound references and 1 inbound Pith citation observation for arXiv:2411.16048.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2411.16048 v2

Coverage vector

measured 67 of 67 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T13:50:20.593917Z

measured 68 of 68 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T11:47:50.751686Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-16T11:47:50.785548Z

Reference resolution

67 of 67 outbound references displayed

  • verified exact0
  • verified fuzzy59
  • unresolved8
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 185f14eb-e62b-4b1b-969a-0877b5dc12b6 · outbound

This paper cites Azzam and X.

Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity Azzam and X

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:50:21.725261Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T13:50:20.258710Z digest=sha256:f4cb081731ee1cf6cd6aa163f6ff4801efde9e2392c51a4ec444316f43c4d695

Observation f3c2af0a-1338-46d8-8624-ca316835a769 · outbound

This paper cites Alper, Rectifiability of line defects in liquid crysta ls with variable degree of orientation, Archive for Rational Mechanics and Analysis , 228 (2018), 309-339.

Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity Alper, Rectifiability of line defects in liquid crysta ls with variable degree of orientation, Archive for Rational Mechanics and Analysis , 228 (2018), 309-339

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:50:21.708912Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T13:50:20.264656Z digest=sha256:18f6d23f8af116b647dbcc7c81fd1f8bb865d57eb1f21e0636d6f47eadb07e07

Observation 210d51a6-959a-4755-9cb7-0e7ef1b800c9 · outbound

This paper cites Alper, On the singular set of free interface in an optim al partition problem, Communications on Pure and Applied Mathematics , 73 (2020), 855-915.

Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity Alper, On the singular set of free interface in an optim al partition problem, Communications on Pure and Applied Mathematics , 73 (2020), 855-915

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:50:21.692885Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T13:50:20.269820Z digest=sha256:e54530d2e9119386db6a7192ef417b544af4c12764319d12300ac121be1b28f1

Observation 4eb31e64-df9d-48da-bd56-4d1d5d60f2cc · outbound

This paper cites Bertozzi and M.C.

Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity Bertozzi and M.C

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:50:21.675876Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T13:50:20.275180Z digest=sha256:6b5404c1fe1ebc312d2f56763f99e94d68ad12cc0c101a5bf713d7ea785cafcb

Observation 8ef15b81-5759-42e3-9f6e-416833521e07 · outbound

This paper cites Bertozzi and M.C.

Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity Bertozzi and M.C

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:50:21.659682Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T13:50:20.280225Z digest=sha256:7501993b45019631b9bf94de99b4d7d6f176175a4fd9c77604b735af3b040b66

Observation 99204a31-5822-48ef-8730-11567e4f7e62 · outbound

This paper cites Bethuel, On the singular set of stationary harmonic ma ps, Manuscripta Mathematica , 78 (1993), 417-443.

Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity Bethuel, On the singular set of stationary harmonic ma ps, Manuscripta Mathematica , 78 (1993), 417-443

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:50:21.643678Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T13:50:20.285575Z digest=sha256:2ab35f937e0892bd156db3efd1e96110e0877cbc3d72d34bae8a7857062cbdaf

Observation 2f97f64e-3a51-46bf-8bab-f4735ceb96c6 · outbound

This paper cites Caffarelli, The obstacle problem revisited, Journal of Fourier Analysis and Applications , 4 (1998), 383-402.

Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity Caffarelli, The obstacle problem revisited, Journal of Fourier Analysis and Applications , 4 (1998), 383-402

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:50:21.627673Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T13:50:20.291500Z digest=sha256:5cb10564f238a498d18c91571e9dd0d887768409686de7848a3df61f301567f7

Observation 9bf8ca30-ce1c-47a7-a660-91dc2b3e3c1c · outbound

This paper cites Cheeger and A.

Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity Cheeger and A

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:50:21.612233Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T13:50:20.296532Z digest=sha256:0481e0713c77b5f12f5c5a003d3a3237dfad6bed751919d539b12e4181a1deca

Observation 5826c167-0322-4323-acf7-240e96943951 · outbound

This paper cites Cheeger and A.

Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity Cheeger and A

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:50:21.596995Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T13:50:20.301541Z digest=sha256:785059bcc8edcfa1071e015c622cf20bfa620b03b2b23ff1524bfe3bbad6233a

Observation 2201586f-5321-4555-a569-cb375c2ae63a · outbound

This paper cites Cheeger, R.

Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity Cheeger, R

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:50:21.581699Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T13:50:20.307114Z digest=sha256:a28c1d92a24f316aaf4db6e6871b88bca50d795fdecc6a3b20fac87d0563ba66

Observation 8f798f23-7902-4fd2-a0fd-6e7ddf35079c · outbound

This paper cites Cheeger, R.

Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity Cheeger, R

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:50:21.566079Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T13:50:20.312327Z digest=sha256:1d6355a5a9a41137163e8c115dd52bf699088fd12dedcef5b0eed24feba8e690

Observation 498ee79b-b488-4626-905c-98dfed86ae17 · outbound

This paper cites D´ avila, K.

Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity D´ avila, K

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:50:21.550438Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T13:50:20.317405Z digest=sha256:ddb340d1d27dc7757916035a6433a8d17cf628f7a01dfbcde2521559fe174392

Observation 60e25511-05be-4a09-bdb7-540b926836b5 · outbound

This paper cites D´ avila and A.

Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity D´ avila and A

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:50:21.533258Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T13:50:20.322423Z digest=sha256:5eff98fcabd66be67b661f489eb741bb0a254c493f8d0a95392e5bfd7e5bdda0

Observation dea36341-fcb8-491c-8872-d1c433a5c6e8 · outbound

This paper cites D´ avila and J.

Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity D´ avila and J

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:50:21.517231Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T13:50:20.327133Z digest=sha256:1aa25692ebc4a21ed49baa1ee102dfdd99bd4770cf11d33821069fb251cc5d1f

Observation d1c45bb4-a588-4956-9d57-ffa8595d356d · outbound

This paper cites De Lellis, A.

Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity De Lellis, A

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:50:21.501562Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T13:50:20.331989Z digest=sha256:bfe1821ba93083cb0d0cf3f17554175364e35fe812868cde8e3c0c597c8c2418

Observation 3e59afcb-cb4f-48f5-8e11-7a2c0b5fcf6d · outbound

This paper cites del Pino and G.

Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity del Pino and G

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:50:21.486214Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T13:50:20.336929Z digest=sha256:3c7e01be5cfaea9e0405c02ab68ce02a6833576db5312e10b660c5bb4984ccbe

Observation 29d79aa4-3b0e-4c76-8329-e7403c869c6f · outbound

This paper cites Du and Z.

Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity Du and Z

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:50:21.470319Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T13:50:20.341872Z digest=sha256:6081e5e9820033e150cbc00114d91a39f9a6b46cef81e530f344651f772994de

Observation d9f2f178-af65-48a9-a7d1-3a5d3e471ef2 · outbound

This paper cites Dupaigne, A.

Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity Dupaigne, A

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:50:21.453913Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T13:50:20.346765Z digest=sha256:6137f485b3100a9d6c58a31f19b8dc4f8481a69e32ddf51da0e8729cc6fd639d

Observation 7fe068ca-6814-4f85-932f-35ee737b3028 · outbound

This paper cites Edelen and M.

Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity Edelen and M

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:50:21.437037Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T13:50:20.351589Z digest=sha256:8a0eb4bd064c0fdd7219a0f90bc5ce6f33a74c88b6c249c1b3a70091f00d3820

Observation 49a28773-f748-4ee7-b102-52043447719d · outbound

This paper cites Esposito, N.

Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity Esposito, N

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:50:21.418215Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T13:50:20.356813Z digest=sha256:240c2023faa196740729b49d543cb94ad0d2a166124bc53fa3be426b0317d8b2

Observation 0e27f6d1-a278-4dcc-b69a-3299c2079611 · outbound

This paper cites an unresolved cited work.

Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-12T13:50:21.401596Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T13:50:20.361752Z digest=sha256:a2c52447069bff346924a0d9e066e0b52b68851bbb493314a84177e158928fd1

Observation bb644a2d-ace2-4345-9f31-96d4d7a2c3f1 · outbound

This paper cites Figalli and J.

Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity Figalli and J

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:50:21.385923Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T13:50:20.367127Z digest=sha256:277e6057cfb86505ae29f07b6be9852cea4e9367fed0bdfd697a807756391f4d

Observation 1ee5bb68-17ee-4e63-89da-ce29010ff27c · outbound

This paper cites Figalli, X.

Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity Figalli, X

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:50:21.370116Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T13:50:20.372142Z digest=sha256:b46c8081805b4270f4b895806f4790024875b3b9c7ea0b580c88cb80360c5ec1

Observation fc2a20b8-7c99-4567-939b-c17ba7baff7d · outbound

This paper cites an unresolved cited work.

Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-12T13:50:21.352070Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T13:50:20.377021Z digest=sha256:53524fa7152cee489b62e325f39a5653aa75970389f826e57acc9184992f5252

Observation e9275f75-feb0-4294-b3a4-618334599141 · outbound

This paper cites Giaquinta and L.

Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity Giaquinta and L

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:50:21.334002Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T13:50:20.382888Z digest=sha256:d6db88e452c9160aa0b5dc66dcbb92da1ebb4075de81fda230ab53430b80456d

Observation dab1b367-a8f3-4622-a960-63ee7f6cee2f · outbound

This paper cites an unresolved cited work.

Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-12T13:50:21.315291Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T13:50:20.387482Z digest=sha256:3294332c403bdc8bededc91f2e2fb63bccbaffed663a5fb7048459a0345538f7

Observation 03a415fb-bf28-4110-8ef2-4ef4b30c6e8f · outbound

This paper cites Guo and J.

Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity Guo and J

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:50:21.296256Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T13:50:20.392277Z digest=sha256:7dd3f9f071c714c1eeb35632878c94a23403875e730fca5424be41ba34e783a3

Observation ce52cb22-334b-4434-9efd-bb51a6147094 · outbound

This paper cites Guo and J.

Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity Guo and J

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:50:21.279537Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T13:50:20.397972Z digest=sha256:863a89f5d0d1e2fa473b28fb11f26efe393e8fa4a313bb215eb22c7275ec5b9e

Observation 54b3a4a4-5306-4596-b2ae-a06efeb35a72 · outbound

This paper cites Guo and J.

Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity Guo and J

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:50:21.263696Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T13:50:20.403247Z digest=sha256:7c3eb3a2e8d94a7f9b6ffe107f1711def06858dab45a52bfa7b4c195d6d011c8

Observation b4742056-e8f1-4efd-be1f-2dd5b0bb447f · outbound

This paper cites Han and F.

Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity Han and F

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:50:21.247172Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T13:50:20.408099Z digest=sha256:b0f8e40cc58c5e9845fc19942e2de8873f1707fc09770b349aff394abd9ec11c

Observation 5ae0bc55-7b94-477a-bfff-c50536d972f5 · outbound

This paper cites Hirsch, S.

Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity Hirsch, S

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:50:21.231503Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T13:50:20.413133Z digest=sha256:b1647f0c0bf9b9a4154de8e403479ef5c20d92137f3b40ba4773e18ba7919af5

Observation 9f81917e-767e-45e7-95d8-efaa93b4a616 · outbound

This paper cites Jiang and F.

Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity Jiang and F

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:50:21.216076Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T13:50:20.417884Z digest=sha256:541d40c8da1dc6c386da2c3cd5eabe08d98b4f269a68bc7b1dde81dbdb016021

Observation 6ea6102d-ba84-4f90-a8f9-620e6b997e3e · outbound

This paper cites Laugesen and M.

Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity Laugesen and M

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:50:21.200221Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T13:50:20.422637Z digest=sha256:c75f6ae009ec68edf6b6b4c231e43cc1a912c96f37241e506aeabcacbc5861d2

Observation c4978797-b748-44ef-adf5-6d0087cf52ae · outbound

This paper cites Laugesen and M.C.

Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity Laugesen and M.C

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:50:21.185153Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T13:50:20.427794Z digest=sha256:0be2c890b09d0d49aeb623936a0a626da873a1373e07a05eed281a4732061dee

Observation 07ce9c4e-599e-4921-95db-74e2c2cb41ec · outbound

This paper cites Lauren¸ cot and C.

Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity Lauren¸ cot and C

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:50:21.168710Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T13:50:20.433310Z digest=sha256:6e2ff849d92adb90e04061ae6f5b1d40fcf4d7b90b678653d8c2d7f0ca442f34

Observation 63a05954-a4e6-4f0e-b345-257dac9c2740 · outbound

This paper cites an unresolved cited work.

Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity Unresolved cited work

Reference 36

Resolution
unresolved
raw_fallback, observed 2026-08-12T13:50:21.153576Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T13:50:20.438360Z digest=sha256:ce55e70030cd7cc555a56fa7bfb45c8511818bd813981ab4c9daa66001c0893e

Observation 2297451b-b31d-481f-a70b-89ccd6318a26 · outbound

This paper cites Lin, Gradient estimates and blow-up analysis for sta tionary harmonic maps, Annals of Mathematics.

Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity Lin, Gradient estimates and blow-up analysis for sta tionary harmonic maps, Annals of Mathematics

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:50:21.136215Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T13:50:20.443598Z digest=sha256:c68690be759bf78f56c5d1e91aaa3b03b112d1a7834c92eeaa84cd824f6fa55c

Observation ae3c6edb-f3a0-499e-ac10-45c81e0f7112 · outbound

This paper cites Lin and C.

Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity Lin and C

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:50:21.118923Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T13:50:20.448902Z digest=sha256:3a602fd6823963c87a6039d1c03a0c9ad5fe76811fc1bcd6a2e488fb6711d586

Observation b8fdb646-aef5-4816-ba0b-97ca2923378c · outbound

This paper cites Lin and C.

Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity Lin and C

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:50:21.103522Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T13:50:20.453903Z digest=sha256:2b9ca58ea01e383d380c52158dc969d8fb9e3c37dd21fede63e1aad73b46216a

Observation 64b097e6-2c49-4f34-8f5a-3d20dd45297d · outbound

This paper cites Lin and C.

Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity Lin and C

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:50:21.087934Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T13:50:20.459077Z digest=sha256:68096e8b1e25d8655bca72f7ba208d6d6c6842b1f2db9767ab9774a6fe14ee31

Observation 1d1f95d1-095f-4030-be72-6ccbd5d3e78e · outbound

This paper cites Ma and J.

Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity Ma and J

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:50:21.070387Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T13:50:20.464010Z digest=sha256:ef886a05d090dbed75f830c4fe7ea268f4cc0b4c0077b0c977f6880ed7ed3203

Observation 98518960-e602-493d-b758-47e0a9ece898 · outbound

This paper cites Meadows, Stable and singular solutions of the equa tion ∆ u = 1 /u, Indiana University Mathematics Journal, 53 (2004), 1681-1703.

Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity Meadows, Stable and singular solutions of the equa tion ∆ u = 1 /u, Indiana University Mathematics Journal, 53 (2004), 1681-1703

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:50:21.054454Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T13:50:20.468624Z digest=sha256:e13312902750825bf3cb33b6c49b0e2c62b8b4cf332854f4bb21292ac0508a99

Observation cf9b9bdd-4344-40a5-8d6b-e1783bc14999 · outbound

This paper cites Mi´ skiewicz, Discrete Reifenberg-type theorem, Annales AcademiæScientiarum Fennicæ.

Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity Mi´ skiewicz, Discrete Reifenberg-type theorem, Annales AcademiæScientiarum Fennicæ

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:50:21.036073Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T13:50:20.473361Z digest=sha256:5a143ae579d81ee21aa0bc50673d535a38e517a852a3865fdf62d0f63d118729

Observation e4b12f7a-aece-4a69-b451-571e75168c94 · outbound

This paper cites Moser, Regularity for the approximated harmonic map equation and application to the heat flow for harmonic maps, Mathematische Zeitschrift , 243, (2003) 263-289.

Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity Moser, Regularity for the approximated harmonic map equation and application to the heat flow for harmonic maps, Mathematische Zeitschrift , 243, (2003) 263-289

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:50:21.017237Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T13:50:20.478432Z digest=sha256:6183a8296b4899e8b0fc740c0126f332194311876b6efcb394c02fe5a5dda3d4

Observation 0b2bfc5b-369b-4450-a2b3-741ac176d059 · outbound

This paper cites Moser, Partial regularity for harmonic maps and rela ted problems, World Scientific, 2005.

Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity Moser, Partial regularity for harmonic maps and rela ted problems, World Scientific, 2005

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:50:21.000459Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T13:50:20.483480Z digest=sha256:53b9e14556ed414dcaa46eacb36c266ab06c83dfbad42d30f9cf3365a888636b

Observation cddf7357-4327-4a8c-a5e3-25366848d1e2 · outbound

This paper cites Naber, Lecture notes on rectifiable Reifenberg for me asures, Harmonic analysis and applications, IAS/Park City Math.

Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity Naber, Lecture notes on rectifiable Reifenberg for me asures, Harmonic analysis and applications, IAS/Park City Math

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:50:20.983783Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T13:50:20.488182Z digest=sha256:8cb3fb3485d368a7be0e7a7ed26fb54517f5ee609a6a3129c0bd6fcb705268cc

Observation e2f5c0b4-c430-453d-81b9-46c3df1b58b1 · outbound

This paper cites Naber and D.

Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity Naber and D

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:50:20.967576Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T13:50:20.493286Z digest=sha256:5d7eda9aa116f0856b625d19035e1ebe6543d6d26e0ac5c81cade85a4e8ddf15

Observation e75bba39-0b70-4624-a988-bb0679528edb · outbound

This paper cites Naber and D.

Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity Naber and D

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:50:20.951282Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T13:50:20.498247Z digest=sha256:624a8e745cd62ebe7b5cd69e6ef523d8b555b3250ee16f00ff52a044fac11946

Observation a652383e-9cbd-4008-bf1b-d67dc5b68606 · outbound

This paper cites Energy Identity for Stationary Harmonic Maps.

Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity Energy Identity for Stationary Harmonic Maps

Reference 49

Resolution
unresolved
no resolver link, observed 2026-08-12T13:50:20.503134Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T13:50:20.503134Z digest=sha256:bcce7bb1f7b642ce9ac207fc1c54d4fa3134b717c78e43894e3f22464ac65fd8

Observation 9d0e3f6e-a786-4e09-ad12-5357a36a9d44 · outbound

This paper cites an unresolved cited work.

Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity Unresolved cited work

Reference 50

Resolution
unresolved
raw_fallback, observed 2026-08-12T13:50:20.935455Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T13:50:20.508418Z digest=sha256:656518e11015b37b96d0857ce213217e901e59156d09644154094f3b301f1a24

Observation f462377a-81be-4509-b43e-08e9996755f8 · outbound

This paper cites Pacard, Partial regularity for weak solutions of a no nlinear elliptic equation, Manuscripta Mathematica , 79 (1993), 161-172.

Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity Pacard, Partial regularity for weak solutions of a no nlinear elliptic equation, Manuscripta Mathematica , 79 (1993), 161-172

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:50:20.920185Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T13:50:20.513224Z digest=sha256:d5175efc1087c8beed63da3ab26e4a95593f8a8af5bf58b31bb668e424cc2855

Observation 993f66a8-e000-4e49-9225-7dae384b0ca4 · outbound

This paper cites Pelesko and D.

Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity Pelesko and D

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:50:20.904258Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T13:50:20.518401Z digest=sha256:7d917dea86c8a514cdedc2a8035ff023df7ee65f1a2d3f02ce9c016ea50e7ecd

Observation eb349398-8a6e-46cd-8bb0-646f7582874b · outbound

This paper cites Phillips, A minimization problem and the regularity of solutions in the presence of a free boundary, Indiana University Mathematics Journal , 32 (1983), 1-17.

Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity Phillips, A minimization problem and the regularity of solutions in the presence of a free boundary, Indiana University Mathematics Journal , 32 (1983), 1-17

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:50:20.888071Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T13:50:20.523140Z digest=sha256:1a4b48bafc498ab3abae8c593147174a8dcbabd24339f1e1209d7f4deb71ac35

Observation 017a66f3-7eb5-4c27-ad61-8bb2b06cd2ce · outbound

This paper cites Preiss, Geometry of measures in Rn: distribution, rectifiability, and densities, Annals of Mathematics.

Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity Preiss, Geometry of measures in Rn: distribution, rectifiability, and densities, Annals of Mathematics

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:50:20.871010Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T13:50:20.527985Z digest=sha256:b961849b724b31d6b9c5f82b152dbf41202dd04cd21ef72102ce492fab0bfe74

Observation 552fd37a-db9c-4038-92ff-45afc96d1fb8 · outbound

This paper cites an unresolved cited work.

Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity Unresolved cited work

Reference 55

Resolution
unresolved
raw_fallback, observed 2026-08-12T13:50:20.854476Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T13:50:20.532780Z digest=sha256:6adc247ec0fbbba44f4b34317614aafb967c8a1fe852a1c7da0f2894708bca67

Observation b03652b0-583f-4e43-bb3c-d6c3b2ddf823 · outbound

This paper cites Simon, Rectifiability of the singular set of energy mi nimizing maps, Calculus of Variations and Partial Differential Equations , 3 (1995), 1-65.

Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity Simon, Rectifiability of the singular set of energy mi nimizing maps, Calculus of Variations and Partial Differential Equations , 3 (1995), 1-65

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:50:20.838548Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T13:50:20.537697Z digest=sha256:a609ff85376e8b36f07102b5152d205a6ea57e56959d1be6043e119a0bdb1e88

Observation 4d8c84ab-ed28-4d9d-a594-e4a21e5c2049 · outbound

This paper cites Sinaei, Convex functionals and the stratification of the singular set of their stationary points, Advances in Mathematics, 338 (2018), 502-548.

Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity Sinaei, Convex functionals and the stratification of the singular set of their stationary points, Advances in Mathematics, 338 (2018), 502-548

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:50:20.822720Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T13:50:20.542592Z digest=sha256:50a2d6c1c2313365fd547c7edddfe11a2093d01257da9af2c727e6794378c75e

Observation 08ff8fff-e7c7-41af-97cd-859e19c37a9d · outbound

This paper cites Simon, Theorems on regularity and sigularity of ener gy minimizing maps, Birkh¨ auser Verlag, 1996.

Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity Simon, Theorems on regularity and sigularity of ener gy minimizing maps, Birkh¨ auser Verlag, 1996

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:50:20.806052Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T13:50:20.547501Z digest=sha256:3bc736f0f5a46057df37b761c90682769bf2a3066640c7b25cc42f90c91376d8

Observation 92893247-ea0f-492a-9702-10b9368a565f · outbound

This paper cites Soave and S.

Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity Soave and S

Reference 59

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:50:20.789896Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T13:50:20.552514Z digest=sha256:73c0afcb1ba21135b249f871032eb30d8a904d6951d77e8b27c561350e4aec9c

Observation 0235d5a5-d346-41db-9453-3fe198679ba6 · outbound

This paper cites Tavares and S.

Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity Tavares and S

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:50:20.774054Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T13:50:20.557454Z digest=sha256:2443bf69851db75bb73e3f9f873bb7b3584e9663c55de4c604d7d60e3da07cde

Observation 03605521-5cdd-4600-9975-7145effe3339 · outbound

This paper cites Schoen and K.

Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity Schoen and K

Reference 61

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:50:20.758319Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T13:50:20.562355Z digest=sha256:bae4dc91077d2c4bb3268a77be8742d8b0850b68f2d73950b24a2335f56de051

Observation c2d1a4cc-2213-491e-b32c-59fdb8920b59 · outbound

This paper cites Vedovato, Quantitative regularity for p-minimizin g maps through a Reifenberg theorem, The Journal of Geometric Analysis, 31 (2021), 8271-8317.

Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity Vedovato, Quantitative regularity for p-minimizin g maps through a Reifenberg theorem, The Journal of Geometric Analysis, 31 (2021), 8271-8317

Reference 62

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:50:20.741565Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T13:50:20.567602Z digest=sha256:8d926849291550a0d65bf620b2b5da7cc9ae0a5aa57b0fb7c18f489fccf680d3

Observation 488fe880-67c7-4f38-a1fb-9642ae84cc3e · outbound

This paper cites Wang, Partial regularity of stable solutions to the s upercritical equations and its applications, Nonlinear Analysis: Theory, Methods & Applications, 75 (2012), 5238-5260.

Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity Wang, Partial regularity of stable solutions to the s upercritical equations and its applications, Nonlinear Analysis: Theory, Methods & Applications, 75 (2012), 5238-5260

Reference 63

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:50:20.721487Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T13:50:20.573062Z digest=sha256:5af5abbae8f72405f0033443a4eecd9b77c871972d817498a9f9bb3091bed2a7

Observation 470fc82f-738f-4165-8ae9-d27dd6818e65 · outbound

This paper cites Wang and G.

Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity Wang and G

Reference 64

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:50:20.703422Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T13:50:20.577834Z digest=sha256:fd3e623d5806647907f3f9d1c282072793055009eb408b553deccbc7cc3591ab

Observation 7dbc3baf-c016-4be2-a3c6-fe2ac49b5e89 · outbound

This paper cites Wang, Quantitative stratification of stationary con nections, Journal f¨ ur die reine und angewandte Mathe- matik, 775 (2021), 39-69.

Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity Wang, Quantitative stratification of stationary con nections, Journal f¨ ur die reine und angewandte Mathe- matik, 775 (2021), 39-69

Reference 65

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:50:20.687328Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T13:50:20.582993Z digest=sha256:372f6e160df9932ff71e5243b23709563f8704601c5cc2482e61cff14af5e40b

Observation 7bcb1ec0-9339-4aec-9970-e322fe1d8b5a · outbound

This paper cites an unresolved cited work.

Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity Unresolved cited work

Reference 66

Resolution
unresolved
raw_fallback, observed 2026-08-12T13:50:20.670950Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T13:50:20.588917Z digest=sha256:ccd1bfca7685c5cbe5805f2d5b8d72776045b22796af265111e3eed6028940af

Observation a5938256-696f-41aa-a9e3-fed6e6609e37 · outbound

This paper cites White, Stratification of minimal surfaces, mean curv ature flows, and harmonic maps, Journal f¨ ur die Reine und Angewandte Mathematik , 488 (1997), 1-35.

Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity White, Stratification of minimal surfaces, mean curv ature flows, and harmonic maps, Journal f¨ ur die Reine und Angewandte Mathematik , 488 (1997), 1-35

Reference 67

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:50:20.652697Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T13:50:20.593917Z digest=sha256:0da49d2c83003b27407b861219f0c573b714ffd113ab57857f18032e30d2dd85

Pith citing papers

Observation 8a6bba4f-29ef-4236-9991-c91a4fa5a5e3 · inbound

Stratification and rectifiability of harmonic map flows via tangent measures cites this paper.

Stratification and rectifiability of harmonic map flows via tangent measures Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity

Reference 60

Resolution
verified exact
local_arxiv, observed 2026-08-16T11:47:50.791643Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T11:47:50.751686Z digest=sha256:75fe1415ed223374d0af434bc9463caf056434f6152869ec32438d23cb9b97f7