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Paper Citation Record · LEDGER

Normalized solutions on large smooth domains to the Schr\"{o}dinger equations with potential and combined nonlinearities: The Sobolev critical case

As of 13 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 0 inbound Pith citation observations for arXiv:2412.03296.

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

pith.paper-citation-record.v1
2412.03296 v2

Coverage vector

measured 42 of 42 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T22:39:41.274744Z

measured 42 of 42 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

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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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Reference resolution

42 of 42 outbound references displayed

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External citation measurements

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Outbound references

Observation a3b36b7e-b5a2-4cbd-bb53-676dd16e0b0d · outbound

This paper cites an unresolved cited work.

Normalized solutions on large smooth domains to the Schr\"{o}dinger equations with potential and combined nonlinearities: The Sobolev critical case Unresolved cited work

Reference 1

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Observation df8a288d-e229-401e-bc7d-74b4c6c20d12 · outbound

This paper cites an unresolved cited work.

Normalized solutions on large smooth domains to the Schr\"{o}dinger equations with potential and combined nonlinearities: The Sobolev critical case Unresolved cited work

Reference 2

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Observation 89060154-d70f-49ea-ab78-5165f075d2af · outbound

This paper cites an unresolved cited work.

Normalized solutions on large smooth domains to the Schr\"{o}dinger equations with potential and combined nonlinearities: The Sobolev critical case Unresolved cited work

Reference 3

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Observation 3becc074-bf56-4a0f-81b4-b8f81ac7e2a1 · outbound

This paper cites (French).

Normalized solutions on large smooth domains to the Schr\"{o}dinger equations with potential and combined nonlinearities: The Sobolev critical case (French)

Reference 4

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Observation 2778b306-3cb2-46aa-a82e-31230b357360 · outbound

This paper cites Science 269, 198–201 (1995).

Normalized solutions on large smooth domains to the Schr\"{o}dinger equations with potential and combined nonlinearities: The Sobolev critical case Science 269, 198–201 (1995)

Reference 5

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Observation ab58c175-ebf8-4771-9329-cd4d4c0e3d41 · outbound

This paper cites Existence and asymptotic behavior of normalized ground states for Sobolev critical Schr¨ odinger systems.

Normalized solutions on large smooth domains to the Schr\"{o}dinger equations with potential and combined nonlinearities: The Sobolev critical case Existence and asymptotic behavior of normalized ground states for Sobolev critical Schr¨ odinger systems

Reference 6

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Observation 8e86ff48-081a-4984-a590-1905fadcb7b3 · outbound

This paper cites Normalized solutions to Schr¨ odinger e quations with potential and inhomogeneous nonlinearities on large smooth domains.

Normalized solutions on large smooth domains to the Schr\"{o}dinger equations with potential and combined nonlinearities: The Sobolev critical case Normalized solutions to Schr¨ odinger e quations with potential and inhomogeneous nonlinearities on large smooth domains

Reference 7

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Observation 8c963892-5465-4353-a400-cf379e987d2e · outbound

This paper cites an unresolved cited work.

Normalized solutions on large smooth domains to the Schr\"{o}dinger equations with potential and combined nonlinearities: The Sobolev critical case Unresolved cited work

Reference 8

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Observation 9ca9c5fe-de05-4d02-b0e2-2c9430722fb6 · outbound

This paper cites an unresolved cited work.

Normalized solutions on large smooth domains to the Schr\"{o}dinger equations with potential and combined nonlinearities: The Sobolev critical case Unresolved cited work

Reference 9

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Observation 7c4d565a-ad21-4b8e-80d6-dcdddd79aa4c · outbound

This paper cites an unresolved cited work.

Normalized solutions on large smooth domains to the Schr\"{o}dinger equations with potential and combined nonlinearities: The Sobolev critical case Unresolved cited work

Reference 10

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Observation 5829172a-5418-49f6-a5b9-495d39e35372 · outbound

This paper cites Bounded Palais-Smale sequences with Morse type information for some constrained functionals.

Normalized solutions on large smooth domains to the Schr\"{o}dinger equations with potential and combined nonlinearities: The Sobolev critical case Bounded Palais-Smale sequences with Morse type information for some constrained functionals

Reference 11

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Observation f0d87ef2-b2a3-4d65-af19-9053c790fe08 · outbound

This paper cites an unresolved cited work.

Normalized solutions on large smooth domains to the Schr\"{o}dinger equations with potential and combined nonlinearities: The Sobolev critical case Unresolved cited work

Reference 12

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Observation 582e53eb-79a3-4444-b3a9-67a61d0f5a8c · outbound

This paper cites an unresolved cited work.

Normalized solutions on large smooth domains to the Schr\"{o}dinger equations with potential and combined nonlinearities: The Sobolev critical case Unresolved cited work

Reference 13

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Observation a621a3d2-7ca1-4642-af89-109c7c18b628 · outbound

This paper cites arXiv:24 11.10317 (2024).

Normalized solutions on large smooth domains to the Schr\"{o}dinger equations with potential and combined nonlinearities: The Sobolev critical case arXiv:24 11.10317 (2024)

Reference 14

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Observation f35bf07b-5357-4c53-a415-14206dff2d01 · outbound

This paper cites Normalized solutions of $L^2$-supercritical NLS equations on compact metric graphs.

Normalized solutions on large smooth domains to the Schr\"{o}dinger equations with potential and combined nonlinearities: The Sobolev critical case Normalized solutions of $L^2$-supercritical NLS equations on compact metric graphs

Reference 15

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Observation a1005a5d-36ed-46bf-969c-8c8dbde38232 · outbound

This paper cites an unresolved cited work.

Normalized solutions on large smooth domains to the Schr\"{o}dinger equations with potential and combined nonlinearities: The Sobolev critical case Unresolved cited work

Reference 16

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Observation 4bbe9a9d-5a74-44ff-959a-4b7fbd0dde66 · outbound

This paper cites an unresolved cited work.

Normalized solutions on large smooth domains to the Schr\"{o}dinger equations with potential and combined nonlinearities: The Sobolev critical case Unresolved cited work

Reference 17

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Observation dc35fd20-d345-4e4e-b39d-3f1f7d45793c · outbound

This paper cites an unresolved cited work.

Normalized solutions on large smooth domains to the Schr\"{o}dinger equations with potential and combined nonlinearities: The Sobolev critical case Unresolved cited work

Reference 18

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Observation 90bf37d5-f216-469b-ac8e-052a8e1057ed · outbound

This paper cites an unresolved cited work.

Normalized solutions on large smooth domains to the Schr\"{o}dinger equations with potential and combined nonlinearities: The Sobolev critical case Unresolved cited work

Reference 19

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Observation 7b1b7dcc-2f76-4b1d-aff3-cc93e4ded7a5 · outbound

This paper cites Springer, Berlin (1983).

Normalized solutions on large smooth domains to the Schr\"{o}dinger equations with potential and combined nonlinearities: The Sobolev critical case Springer, Berlin (1983)

Reference 20

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Observation 1ea1d7df-6c20-4f76-aaec-d44be83ad852 · outbound

This paper cites an unresolved cited work.

Normalized solutions on large smooth domains to the Schr\"{o}dinger equations with potential and combined nonlinearities: The Sobolev critical case Unresolved cited work

Reference 21

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Observation 3194dfef-01db-41f6-835a-33ebd82ea455 · outbound

This paper cites an unresolved cited work.

Normalized solutions on large smooth domains to the Schr\"{o}dinger equations with potential and combined nonlinearities: The Sobolev critical case Unresolved cited work

Reference 22

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Observation 01bf9af5-efbf-42d8-aa1f-6bd6426da876 · outbound

This paper cites Nonlinear Anal.

Normalized solutions on large smooth domains to the Schr\"{o}dinger equations with potential and combined nonlinearities: The Sobolev critical case Nonlinear Anal

Reference 23

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Observation 74035d2a-9ebd-42b9-b8e1-ac743c04bb73 · outbound

This paper cites an unresolved cited work.

Normalized solutions on large smooth domains to the Schr\"{o}dinger equations with potential and combined nonlinearities: The Sobolev critical case Unresolved cited work

Reference 24

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Observation a76ae7bd-c5c6-4560-8fe6-17e1e75a154a · outbound

This paper cites T.: Multiple normalized solutions for a Sobolev critical Schr¨ odinger equation.

Normalized solutions on large smooth domains to the Schr\"{o}dinger equations with potential and combined nonlinearities: The Sobolev critical case T.: Multiple normalized solutions for a Sobolev critical Schr¨ odinger equation

Reference 25

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Observation 821ddcde-a70c-4068-b280-48ecedcd0096 · outbound

This paper cites an unresolved cited work.

Normalized solutions on large smooth domains to the Schr\"{o}dinger equations with potential and combined nonlinearities: The Sobolev critical case Unresolved cited work

Reference 26

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Observation f8efb555-f7a3-4ee7-a4ad-cd5f6b4dddd8 · outbound

This paper cites an unresolved cited work.

Normalized solutions on large smooth domains to the Schr\"{o}dinger equations with potential and combined nonlinearities: The Sobolev critical case Unresolved cited work

Reference 27

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation caf90afa-d4d7-409b-8754-d8f6aea726d1 · outbound

This paper cites an unresolved cited work.

Normalized solutions on large smooth domains to the Schr\"{o}dinger equations with potential and combined nonlinearities: The Sobolev critical case Unresolved cited work

Reference 28

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation f70c00c3-ead9-4697-bdc7-dfca839d01db · outbound

This paper cites Nonlinearity, 32(3), 1044–1072, (2019).

Normalized solutions on large smooth domains to the Schr\"{o}dinger equations with potential and combined nonlinearities: The Sobolev critical case Nonlinearity, 32(3), 1044–1072, (2019)

Reference 29

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Observation ea965e9b-35e7-4124-9271-f105acaad1ba · outbound

This paper cites an unresolved cited work.

Normalized solutions on large smooth domains to the Schr\"{o}dinger equations with potential and combined nonlinearities: The Sobolev critical case Unresolved cited work

Reference 30

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 36798059-744a-4d0c-ad3d-96adec593924 · outbound

This paper cites Normalized solutions for Sobolev critical Schr\"{o}dinger equations on bounded domains.

Normalized solutions on large smooth domains to the Schr\"{o}dinger equations with potential and combined nonlinearities: The Sobolev critical case Normalized solutions for Sobolev critical Schr\"{o}dinger equations on bounded domains

Reference 31

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Observation 4b95d270-b69b-4235-bb9c-8d7321eda37e · outbound

This paper cites an unresolved cited work.

Normalized solutions on large smooth domains to the Schr\"{o}dinger equations with potential and combined nonlinearities: The Sobolev critical case Unresolved cited work

Reference 32

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Observation d01aa1a8-9760-4b46-8da4-fd7c0ff603bb · outbound

This paper cites an unresolved cited work.

Normalized solutions on large smooth domains to the Schr\"{o}dinger equations with potential and combined nonlinearities: The Sobolev critical case Unresolved cited work

Reference 33

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Observation 2614e4df-590c-4b6e-a9f9-0d4ca48d383d · outbound

This paper cites an unresolved cited work.

Normalized solutions on large smooth domains to the Schr\"{o}dinger equations with potential and combined nonlinearities: The Sobolev critical case Unresolved cited work

Reference 34

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Observation 329c767b-74a1-4e16-91bb-9e32c05bdecd · outbound

This paper cites an unresolved cited work.

Normalized solutions on large smooth domains to the Schr\"{o}dinger equations with potential and combined nonlinearities: The Sobolev critical case Unresolved cited work

Reference 35

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Observation 321e1070-62aa-468d-a4f2-7f67f2e4ea2d · outbound

This paper cites Two Positive Normalized Solutions on Star-shaped Bounded Domains to the Br\'ezis-Nirenberg Problem, I: Existence.

Normalized solutions on large smooth domains to the Schr\"{o}dinger equations with potential and combined nonlinearities: The Sobolev critical case Two Positive Normalized Solutions on Star-shaped Bounded Domains to the Br\'ezis-Nirenberg Problem, I: Existence

Reference 36

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Observation bf8697e3-d416-46b1-8e8d-8cfb4843cfce · outbound

This paper cites an unresolved cited work.

Normalized solutions on large smooth domains to the Schr\"{o}dinger equations with potential and combined nonlinearities: The Sobolev critical case Unresolved cited work

Reference 37

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no resolver link, observed 2026-08-11T22:39:40.954748Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-11T22:39:40.954748Z digest=sha256:23d5d2311b1c5eb09a2f8d101f25cebbfacb9e5b1785e75f68285f3ce0758cfa

Observation 84a8833f-5b17-4644-8d7a-01d687e23dcc · outbound

This paper cites Birkhauser, Boston (1996).

Normalized solutions on large smooth domains to the Schr\"{o}dinger equations with potential and combined nonlinearities: The Sobolev critical case Birkhauser, Boston (1996)

Reference 38

Resolution
unresolved
no resolver link, observed 2026-08-11T22:39:41.044811Z

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source=pdf_text observed=2026-08-11T22:39:41.044811Z digest=sha256:aa677f1f641140f4543d9df27a37772f48b93af80d49b4ae7cb09b483b0a5a5a

Observation 6dc19a29-a34f-428a-98b6-bc16fa920082 · outbound

This paper cites an unresolved cited work.

Normalized solutions on large smooth domains to the Schr\"{o}dinger equations with potential and combined nonlinearities: The Sobolev critical case Unresolved cited work

Reference 39

Resolution
unresolved
no resolver link, observed 2026-08-11T22:39:41.114750Z

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source=pdf_text observed=2026-08-11T22:39:41.114750Z digest=sha256:7e4f09ca728e1aab1b7c0892cafcc3873da02da36fd678947358f8ae7111c2e6

Observation 208a2c74-0bca-43c5-9fdb-64c3552a0446 · outbound

This paper cites an unresolved cited work.

Normalized solutions on large smooth domains to the Schr\"{o}dinger equations with potential and combined nonlinearities: The Sobolev critical case Unresolved cited work

Reference 40

Resolution
unresolved
no resolver link, observed 2026-08-11T22:39:41.184741Z

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source=pdf_text observed=2026-08-11T22:39:41.184741Z digest=sha256:8a8059969bf40261ede9c58a79662e681d57401fa97487276bf8198510677809

Observation 812fd83c-3130-4a9f-86d9-8cbc9bf72b01 · outbound

This paper cites Existence and Multiplicity of Normalized Solutions to Schr\"{o}dinger Equations with General Nonlinearities in Bounded Domains.

Normalized solutions on large smooth domains to the Schr\"{o}dinger equations with potential and combined nonlinearities: The Sobolev critical case Existence and Multiplicity of Normalized Solutions to Schr\"{o}dinger Equations with General Nonlinearities in Bounded Domains

Reference 41

Resolution
unresolved
no resolver link, observed 2026-08-11T22:39:41.224730Z

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source=pdf_text observed=2026-08-11T22:39:41.224730Z digest=sha256:6d06a8bedd5ec2832039811ebdfef20b5e188ca8c507254bdcbd66497eb20898

Observation f3f25002-3c76-42be-80d1-a2d77bf51830 · outbound

This paper cites an unresolved cited work.

Normalized solutions on large smooth domains to the Schr\"{o}dinger equations with potential and combined nonlinearities: The Sobolev critical case Unresolved cited work

Reference 42

Resolution
unresolved
raw_fallback, observed 2026-08-11T22:39:41.914929Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-11T22:39:41.274744Z digest=sha256:44bbd5d01179b92b0a53881508ea5533a0af52fb4de110364f308d216d15ddc3

Pith citing papers

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