Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T22:39:41.274744Z
Paper Citation Record · LEDGER
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.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T22:39:41.274744Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
42 of 42 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation a3b36b7e-b5a2-4cbd-bb53-676dd16e0b0d · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation df8a288d-e229-401e-bc7d-74b4c6c20d12 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 89060154-d70f-49ea-ab78-5165f075d2af · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3becc074-bf56-4a0f-81b4-b8f81ac7e2a1 · outbound
Reference 4
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.
Observation 2778b306-3cb2-46aa-a82e-31230b357360 · outbound
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
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.
Observation ab58c175-ebf8-4771-9329-cd4d4c0e3d41 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8e86ff48-081a-4984-a590-1905fadcb7b3 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8c963892-5465-4353-a400-cf379e987d2e · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9ca9c5fe-de05-4d02-b0e2-2c9430722fb6 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7c4d565a-ad21-4b8e-80d6-dcdddd79aa4c · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5829172a-5418-49f6-a5b9-495d39e35372 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f0d87ef2-b2a3-4d65-af19-9053c790fe08 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 582e53eb-79a3-4444-b3a9-67a61d0f5a8c · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a621a3d2-7ca1-4642-af89-109c7c18b628 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f35bf07b-5357-4c53-a415-14206dff2d01 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a1005a5d-36ed-46bf-969c-8c8dbde38232 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4bbe9a9d-5a74-44ff-959a-4b7fbd0dde66 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation dc35fd20-d345-4e4e-b39d-3f1f7d45793c · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 90bf37d5-f216-469b-ac8e-052a8e1057ed · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7b1b7dcc-2f76-4b1d-aff3-cc93e4ded7a5 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1ea1d7df-6c20-4f76-aaec-d44be83ad852 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3194dfef-01db-41f6-835a-33ebd82ea455 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 01bf9af5-efbf-42d8-aa1f-6bd6426da876 · outbound
Reference 23
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 74035d2a-9ebd-42b9-b8e1-ac743c04bb73 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a76ae7bd-c5c6-4560-8fe6-17e1e75a154a · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 821ddcde-a70c-4068-b280-48ecedcd0096 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f8efb555-f7a3-4ee7-a4ad-cd5f6b4dddd8 · outbound
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
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.
Observation caf90afa-d4d7-409b-8754-d8f6aea726d1 · outbound
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
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.
Observation f70c00c3-ead9-4697-bdc7-dfca839d01db · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ea965e9b-35e7-4124-9271-f105acaad1ba · outbound
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
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.
Observation 36798059-744a-4d0c-ad3d-96adec593924 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4b95d270-b69b-4235-bb9c-8d7321eda37e · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d01aa1a8-9760-4b46-8da4-fd7c0ff603bb · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2614e4df-590c-4b6e-a9f9-0d4ca48d383d · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 329c767b-74a1-4e16-91bb-9e32c05bdecd · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 321e1070-62aa-468d-a4f2-7f67f2e4ea2d · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bf8697e3-d416-46b1-8e8d-8cfb4843cfce · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 84a8833f-5b17-4644-8d7a-01d687e23dcc · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6dc19a29-a34f-428a-98b6-bc16fa920082 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 208a2c74-0bca-43c5-9fdb-64c3552a0446 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 812fd83c-3130-4a9f-86d9-8cbc9bf72b01 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f3f25002-3c76-42be-80d1-a2d77bf51830 · outbound
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
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.
No inbound Pith citation observations are available.