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Paper Citation Record · LEDGER

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

As of 11 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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Observation 7c1d9ec9-9e37-4ffc-882f-c96b06934341 · outbound

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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This paper cites 2 of New Stud.

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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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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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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This paper cites On the fully nonlinear Yamabe problem with constant boundary mean curvature. I.

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 22

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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

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

Reference 26

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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

Reference 29

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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 Unresolved cited work

Reference 32

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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

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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=sha256:3f85ca3b307ce7d70437b0aa86b0ea02bb67b15e3d8f1ce85efad06bce497c57

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T15:24:13.328103Z digest=sha256:a7658bb2f2b5fbf61a634e3084c80563741c190265120fa1caa07f7b2ec52ca7

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T15:24:13.470566Z digest=sha256:6f0e3876f8848332ccb7cf02cfb2fbe78e2374d988bd368270adaa6b2b18ad94

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T15:24:13.583967Z digest=sha256:379e4ad9c449a0be529bbcd59c6c9aa22401e49222669c520ec7239931153e8e

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:b9e7dd02dc24d28364b41198a42109aefa5dfb9789e6c49bb8b5ab356afdcb3d

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T15:24:13.845911Z digest=sha256:8c85fba4de25be66825d8f5ac7a0d30dc6b3ba370337ff67fd97ba000c70b844

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T15:24:13.969972Z digest=sha256:5463a5184afa0ba4e7ad09de9e6ec1711ba9703b5ad3f828ca2613fb8c471bc6

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T15:24:14.092079Z digest=sha256:dfdd049b9fd52c98a35ea63dade6260075932c467cfb27dca1649e2e420cefe3

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T15:24:14.243653Z digest=sha256:24718d06f74fa931b50b7a610f62e59d28d9cbade0e30b4131e043c433bd76be

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T15:24:14.440871Z digest=sha256:df7fbaa06fadb4e8cc90d586054dc6b4ececfb1a607b35de4c737256bf67b8b4

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T15:24:14.573370Z digest=sha256:d9883922ea4e8d3d4c2c5a1aa62a86c01a3de293c3671d12378d90652e2f849c

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T15:24:14.686060Z digest=sha256:5427df5dea5a5e94b80be0ff2a61b284c593f6a4a2276944d69784a7d6bcac4c

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T15:24:14.792089Z digest=sha256:5f5c3d276b3e8e6f80d4e8ba7a1b89be3ec2893ef6b70276989865c48dea4248

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T15:24:14.906869Z digest=sha256:58565fb79c69310e9435426b02b1c5cfc8419981cae015551397e3f8e21fd4fd

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:f1a3cf75d9a8e1eb0f252c7b2ee64dd8b4c33e30440e1fdb9de5879c8b73c6da

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T15:24:15.143520Z digest=sha256:19be1e343b3e319e319deb79b90663edc4c8103232a4da6f7c390a62593c88d8

Pith citing papers

No inbound Pith citation observations are available.