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Paper Citation Record · LEDGER

The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates

As of 19 August 2026, this Paper Citation Record lists 52 of 52 outbound references and 0 inbound Pith citation observations for arXiv:2507.16383.

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

pith.paper-citation-record.v1
2507.16383 v1

Coverage vector

measured 52 of 52 reference resolution

Typed states for the displayed outbound observations.

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Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

52 of 52 outbound references displayed

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External citation measurements

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Outbound references

Observation 4755532b-7108-49cc-b2c7-37221a1cad11 · outbound

This paper cites an unresolved cited work.

The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates Unresolved cited work

Reference 1

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Observation e8fefe04-b599-47df-bec3-04004f21262c · outbound

This paper cites A viles and R.

The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates A viles and R

Reference 2

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This paper cites Berestycki and L.

The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates Berestycki and L

Reference 3

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This paper cites Caffarelli, L.

The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates Caffarelli, L

Reference 4

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The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates Unresolved cited work

Reference 5

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The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates Unresolved cited work

Reference 6

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The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates Unresolved cited work

Reference 7

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The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates Unresolved cited work

Reference 8

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The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates 2 of New Stud

Reference 9

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The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates Unresolved cited work

Reference 10

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Observation 8f0bc873-cb48-4ae0-bd99-3a6bffb436cf · outbound

This paper cites Chipot, I.

The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates Chipot, I

Reference 11

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Observation dc4117ce-c53c-4dd1-a617-90b06efb17e5 · outbound

This paper cites Liouville theorems for conformally invariant fully nonlinear equations. I.

The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates Liouville theorems for conformally invariant fully nonlinear equations. I

Reference 12

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Observation 2cd22064-d17e-4bd4-8229-a00cca535c1c · outbound

This paper cites Liouville Theorem with Boundary Conditions from Chern--Gauss--Bonnet Formula.

The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates Liouville Theorem with Boundary Conditions from Chern--Gauss--Bonnet Formula

Reference 13

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The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates On the fully nonlinear Yamabe problem with constant boundary mean curvature. I

Reference 14

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This paper cites The $\sigma_k$-Loewner-Nirenberg problem on Riemannian manifolds for $k<\frac{n}{2}$.

The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates The $\sigma_k$-Loewner-Nirenberg problem on Riemannian manifolds for $k<\frac{n}{2}$

Reference 15

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The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates Unresolved cited work

Reference 16

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The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates Unresolved cited work

Reference 17

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The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates F ang, B

Reference 18

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The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates Ge and G

Reference 19

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The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates Gidas, W

Reference 20

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The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates 7 of Adv

Reference 21

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The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates Unresolved cited work

Reference 24

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The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates Han and W

Reference 25

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The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates Unresolved cited work

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The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates Li and Y

Reference 27

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The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates Unresolved cited work

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The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates Unresolved cited work

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The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates Unresolved cited work

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The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates Pure Appl

Reference 31

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The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates A fully nonlinear version of the Yamabe problem on locally conformally flat manifolds with umbilic boundary

Reference 33

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The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates Unresolved cited work

Reference 34

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The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates Pure Appl

Reference 35

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The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates Unresolved cited work

Reference 36

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Observation 0102cc6b-b4dc-4e14-948b-1b053fefa2e0 · outbound

This paper cites an unresolved cited work.

The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates Unresolved cited work

Reference 37

Resolution
unresolved
no resolver link, observed 2026-08-06T15:24:13.227141Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:24:13.227141Z digest=sha256:aa05a5853dc10b34e72f87ff6335aee7321481410fcfa5b0578d905e2dbd4c2e

Observation a2b47a1d-9476-43be-b7b3-a456f1fd19b7 · outbound

This paper cites an unresolved cited work.

The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates Unresolved cited work

Reference 38

Resolution
unresolved
raw_fallback, observed 2026-08-06T15:24:18.701305Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T15:24:13.328103Z digest=sha256:b0008013df8639cb32521e3689fc5ec134acaeed7719898913f5f4200caf6626

Observation 3666ae61-a62a-4235-a8ff-0dae9bfa66a6 · outbound

This paper cites an unresolved cited work.

The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates Unresolved cited work

Reference 39

Resolution
unresolved
raw_fallback, observed 2026-08-06T15:24:18.469377Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T15:24:13.470566Z digest=sha256:4d8c028c3bdd0043844d54909ab89e15341d3faab6fa943b5c1b80e329a8469e

Observation e8207cc9-72f3-4bb8-8d08-976f90aec95d · outbound

This paper cites Liouville , Sur l’´ equation aux diff´ erences partiellesd2 log λ dudv ± λ 2a2 = 0., Journal de Math´ ematiques Pures et Appliqu´ ees, (1853), pp.

The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates Liouville , Sur l’´ equation aux diff´ erences partiellesd2 log λ dudv ± λ 2a2 = 0., Journal de Math´ ematiques Pures et Appliqu´ ees, (1853), pp

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:24:18.255488Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T15:24:13.583967Z digest=sha256:e5292f5f38296b35e287284a3b6de9102d186c0b10b2e3a6d3c345fd2204f02a

Observation 27f64d98-0de4-448b-a450-8145374aa7e7 · outbound

This paper cites Loewner and L.

The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates Loewner and L

Reference 41

Resolution
unresolved
no resolver link, observed 2026-08-06T15:24:13.710687Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:24:13.710687Z digest=sha256:b2b4d0c53c2b18dc409058ac3303fe5e17e6ab90fbc981531b2e559d73937e3b

Observation 6fb7de03-4294-4a9f-b39c-cd56e7d8d064 · outbound

This paper cites Lou and M.

The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates Lou and M

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:24:18.018457Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T15:24:13.845911Z digest=sha256:40df1a63a1ab919dfceff038053aaa97e84a8631cc8c30b611b888a0211ff9f8

Observation 7b6e0a08-9e3a-42ca-a137-0c07b6c2b418 · outbound

This paper cites Obata, The conjectures on conformal transformations of Riemannian manifolds , J.

The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates Obata, The conjectures on conformal transformations of Riemannian manifolds , J

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:24:17.805184Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T15:24:13.969972Z digest=sha256:9586c658b16e7c6c573595fa8d753f2dd2da6d1b28718f9291d67a59f6c11f62

Observation c7ce22b0-e69f-4a8a-a0fa-9b11c6912f0e · outbound

This paper cites Osserman, On the inequality ∆u ≥ f (u), Pacific J.

The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates Osserman, On the inequality ∆u ≥ f (u), Pacific J

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:24:17.529290Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T15:24:14.092079Z digest=sha256:b8f392ddc3932632b3a095b13aac4b4112feb0ae30e9cd8a52072136a801ab24

Observation c751bfd1-4daa-478f-86cd-6b9e254c6f83 · outbound

This paper cites Savin, Small perturbation solutions for elliptic equations , Comm.

The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates Savin, Small perturbation solutions for elliptic equations , Comm

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:24:17.223389Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T15:24:14.243653Z digest=sha256:99179c79db20dadd00f7ef03abeaaf9add30ce9eb7860d01bdda9f9ac6ee1f06

Observation 24ce6def-cd78-46f7-9a47-7e98f0a66bd5 · outbound

This paper cites an unresolved cited work.

The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates Unresolved cited work

Reference 46

Resolution
unresolved
raw_fallback, observed 2026-08-06T15:24:16.988063Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T15:24:14.440871Z digest=sha256:8abf53dbee6261ee6ce08d9b48f5d37b2e58821fc6117b192847fdc3f5aaa2dc

Observation 2e53f29b-76a4-40eb-9362-558c44759274 · outbound

This paper cites Serrin, A symmetry problem in potential theory , Arch.

The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates Serrin, A symmetry problem in potential theory , Arch

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:24:16.734157Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T15:24:14.573370Z digest=sha256:67128a571d3a4b6dccd546ad3c73b8b22a80e514f3a005a21694287c863b9915

Observation c4eea4fb-3ab5-4cc6-b9bb-a8d6b171a490 · outbound

This paper cites an unresolved cited work.

The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates Unresolved cited work

Reference 48

Resolution
unresolved
raw_fallback, observed 2026-08-06T15:24:16.483824Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T15:24:14.686060Z digest=sha256:d4c3c347bbc78011261b34b682efce482340434fc4ceb3d40118aacdf0f6259a

Observation 8f59c581-978a-455a-81e8-4a6906495b2d · outbound

This paper cites an unresolved cited work.

The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates Unresolved cited work

Reference 49

Resolution
unresolved
raw_fallback, observed 2026-08-06T15:24:16.252286Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T15:24:14.792089Z digest=sha256:57e7ea704d89963fe4904e4d4413386066bd5a802ebb098507bcaf440056cddd

Observation b1d440f3-a20a-4ddd-be10-ac50df211fc7 · outbound

This paper cites Wei , Liouville Theorem for k-curvature equation with fully nonlinear boundary in half space , https://arxiv.org/abs/2403.19268, (2024).

The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates Wei , Liouville Theorem for k-curvature equation with fully nonlinear boundary in half space , https://arxiv.org/abs/2403.19268, (2024)

Reference 50

Resolution
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raw_fallback, observed 2026-08-06T15:24:15.517741Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T15:24:14.906869Z digest=sha256:68796f7fccf2c47dbfaa1239bf8d8819be63f931678b46917951be9842db0b91

Observation e93d4aee-4739-4a08-a69f-8946903a37b6 · outbound

This paper cites The partial uniform ellipticity and prescribed problems on the conformal classes of complete metrics.

The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates The partial uniform ellipticity and prescribed problems on the conformal classes of complete metrics

Reference 51

Resolution
unresolved
no resolver link, observed 2026-08-06T15:24:15.011884Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:24:15.011884Z digest=sha256:744a7325509bccf0abe9c024e779ff7d5e2c5e6d710892bd26e844547620b172

Observation 0d0f3d5c-db18-4529-adf5-0798654bb055 · outbound

This paper cites an unresolved cited work.

The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates Unresolved cited work

Reference 52

Resolution
unresolved
raw_fallback, observed 2026-08-06T15:24:15.981494Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T15:24:15.143520Z digest=sha256:931928c751547fef97499dcc8da80106c9ec1da1297b5e9be657fe5cdfb1fdaf

Pith citing papers

No inbound Pith citation observations are available.