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Paper Citation Record · LEDGER

Normalized solutions for NLS equations with potential on bounded domains: Ground states and multiplicity

As of 12 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 1 inbound Pith citation observation for arXiv:2411.17951.

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

pith.paper-citation-record.v1
2411.17951 v1

Coverage vector

measured 33 of 33 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T11:52:16.765821Z

measured 34 of 34 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T22:13:47.453311Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-04T22:13:47.750335Z

Reference resolution

33 of 33 outbound references displayed

  • verified exact0
  • verified fuzzy24
  • unresolved9
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1d8b03c5-1a12-4be5-bb22-2b98d87e3400 · outbound

This paper cites Agrawal, Nonlinear fiber optics, Springer (2000).

Normalized solutions for NLS equations with potential on bounded domains: Ground states and multiplicity Agrawal, Nonlinear fiber optics, Springer (2000)

Reference 1

Resolution
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raw_fallback, observed 2026-08-12T11:52:17.248604Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T11:52:16.627650Z digest=sha256:ac46653fa538fa86b9e02ecce5950c29f7b2aacb4ecea17189e00b6b84206fbc

Observation 0c6611a3-7e53-4e7c-83b7-2872fbf9de07 · outbound

This paper cites Anderson, J.

Normalized solutions for NLS equations with potential on bounded domains: Ground states and multiplicity Anderson, J

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:52:17.234656Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T11:52:16.632885Z digest=sha256:a18fecdf544197bff6058b056c0e5c5a376302c986a9e3a6514ce19cda31a508

Observation d1df612c-7ff9-4ca7-99fd-d8c0e2df7d59 · outbound

This paper cites Aubin, Problemes isoperimetriques et espaces de Sobolev (Fre nch), J.

Normalized solutions for NLS equations with potential on bounded domains: Ground states and multiplicity Aubin, Problemes isoperimetriques et espaces de Sobolev (Fre nch), J

Reference 3

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raw_fallback, observed 2026-08-12T11:52:17.221512Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T11:52:16.637415Z digest=sha256:4608fea8c8d7d8c31f4435d93396d9a1f780322d47dd0a31d717467e4c071c40

Observation 31443d09-b0f9-4dda-ab5a-c504ebba879e · outbound

This paper cites Bartsch, S.

Normalized solutions for NLS equations with potential on bounded domains: Ground states and multiplicity Bartsch, S

Reference 4

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verified fuzzy
raw_fallback, observed 2026-08-12T11:52:17.208021Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T11:52:16.641886Z digest=sha256:c182e40a66d771c5aed4b2f8b43807f0de2fd2cd45d48ca72c8f75fe6c85bee2

Observation 21e21651-7e56-4672-b719-29b7ff6babbc · outbound

This paper cites Bartsch, N.

Normalized solutions for NLS equations with potential on bounded domains: Ground states and multiplicity Bartsch, N

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:52:17.194100Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T11:52:16.646425Z digest=sha256:32589a216290e9681a59e57e306273e6022460e721ba5ab00c53a3f88d6c670d

Observation 6ec5531b-ba08-4ff0-8102-26d83b03b9dd · outbound

This paper cites an unresolved cited work.

Normalized solutions for NLS equations with potential on bounded domains: Ground states and multiplicity Unresolved cited work

Reference 6

Resolution
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raw_fallback, observed 2026-08-12T11:52:17.181360Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T11:52:16.650699Z digest=sha256:0a5ef9c2ebea493a046fdc1d63224a986be0883608510e0dc28416e8755164ba

Observation 472a3dd8-be37-4593-94d6-47ce395829f0 · outbound

This paper cites Bieganowski, J.

Normalized solutions for NLS equations with potential on bounded domains: Ground states and multiplicity Bieganowski, J

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:52:17.168542Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T11:52:16.655456Z digest=sha256:99b119bb4ae6fd8ee4c6cdf102edbc3558cf2d7007389103e1bfee292f26ca46

Observation 37ed0550-64f0-4e8c-b538-b5a8f31bc380 · outbound

This paper cites Borthwick, X.

Normalized solutions for NLS equations with potential on bounded domains: Ground states and multiplicity Borthwick, X

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:52:17.154105Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T11:52:16.659655Z digest=sha256:9432939443d5ad31987fac324c52f01287632ad9493568d1874f088f3abc84d5

Observation 184d0093-967b-474e-9449-bdc0919a81e2 · outbound

This paper cites Chang, L.

Normalized solutions for NLS equations with potential on bounded domains: Ground states and multiplicity Chang, L

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:52:17.140882Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T11:52:16.663821Z digest=sha256:cf741f39b41cfa3d1413e55547278d5d034150a1bcf6f0ef6563b01d5a71af14

Observation 2d9c78bf-5d9d-42c6-b5f3-27c43cbd9024 · outbound

This paper cites an unresolved cited work.

Normalized solutions for NLS equations with potential on bounded domains: Ground states and multiplicity Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-12T11:52:17.127693Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T11:52:16.667988Z digest=sha256:9fee016459e7d7eedd072c9efca608ea6042a110983b2620e6503cc24b265f0e

Observation b2a2c6ec-e769-4b9b-af3a-1abb3b2f2e82 · outbound

This paper cites Dovetta, E.

Normalized solutions for NLS equations with potential on bounded domains: Ground states and multiplicity Dovetta, E

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:52:17.114165Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T11:52:16.672245Z digest=sha256:686ae69e9816ce2483da3833a29076603c4fa6250759f5c84d204df4ad1d2082

Observation 9f10634e-50c9-44dc-a975-ace71d4f1e2c · outbound

This paper cites Ekeland, On the variational principle, J.

Normalized solutions for NLS equations with potential on bounded domains: Ground states and multiplicity Ekeland, On the variational principle, J

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:52:17.100824Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T11:52:16.676290Z digest=sha256:c25393e1076897da80f1e8951689fb577fcfb5b99995ef89134980453a2cde9e

Observation 7c09da85-7095-4469-a4cd-b10a91a5b20c · outbound

This paper cites Erd¨ os, B.

Normalized solutions for NLS equations with potential on bounded domains: Ground states and multiplicity Erd¨ os, B

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:52:17.087571Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T11:52:16.680716Z digest=sha256:380129af6424909ef7295f20bdf754998c10705473583da37f830127fae2d0a2

Observation b348cbaa-48bd-493f-81d8-bf66d0754cc7 · outbound

This paper cites Esteban, P.

Normalized solutions for NLS equations with potential on bounded domains: Ground states and multiplicity Esteban, P

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:52:17.074164Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T11:52:16.684752Z digest=sha256:4a0de9cbff671008564511f3faadb306f21a8a903aa32e1058b69f7c8d8edee2

Observation d11296e8-8862-4126-8923-2c2a9f552414 · outbound

This paper cites Fibich, F.

Normalized solutions for NLS equations with potential on bounded domains: Ground states and multiplicity Fibich, F

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:52:17.060808Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T11:52:16.688830Z digest=sha256:4eef21fdf902eb66330a15089d7b8be4be9c89f399b6ef9219f50e81126f655c

Observation 98ffa971-6fbe-40a0-996c-eaf185742f92 · outbound

This paper cites Gross, Structure of a quantized vortex in boson systems, Nuovo Cimento 20 (1961) 454– 466.

Normalized solutions for NLS equations with potential on bounded domains: Ground states and multiplicity Gross, Structure of a quantized vortex in boson systems, Nuovo Cimento 20 (1961) 454– 466

Reference 16

Resolution
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raw_fallback, observed 2026-08-12T11:52:17.046258Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T11:52:16.692859Z digest=sha256:b41b27dee96be21b248df47248d71079af4e33fbf6f22d5082a07f6a4e15d17d

Observation 5b6483d2-6d1a-407a-b0f1-668f220491a9 · outbound

This paper cites Jeanjean, Existence of solutions with prescribed norm for s emilinear elliptic equations, Nonlinear Anal.

Normalized solutions for NLS equations with potential on bounded domains: Ground states and multiplicity Jeanjean, Existence of solutions with prescribed norm for s emilinear elliptic equations, Nonlinear Anal

Reference 17

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raw_fallback, observed 2026-08-12T11:52:17.032425Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T11:52:16.697407Z digest=sha256:bf47711b9b2885a87b174628128182b1fc37b4946933831658a59dc9ea0a29e2

Observation 157339a7-e735-4eab-8bbb-e8cb87e6692f · outbound

This paper cites Jeanjean, T.T.

Normalized solutions for NLS equations with potential on bounded domains: Ground states and multiplicity Jeanjean, T.T

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:52:17.017295Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T11:52:16.701515Z digest=sha256:6cff2030c07d923a763971b8f95d5e25feee6f7410cbaa082b96a0c38fe8f55b

Observation 0b8d0dd0-3dc0-4490-8b03-092e2cfd848d · outbound

This paper cites Jeanjean, J.

Normalized solutions for NLS equations with potential on bounded domains: Ground states and multiplicity Jeanjean, J

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:52:17.003259Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T11:52:16.705518Z digest=sha256:255ffb418fb4a12a6ce2542ee9c119a7085d49f632441cb9567fd86949fc40e6

Observation 748b37ce-21f3-4f91-8e69-8f4fca32883e · outbound

This paper cites Molle, G.

Normalized solutions for NLS equations with potential on bounded domains: Ground states and multiplicity Molle, G

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:52:16.988241Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T11:52:16.709620Z digest=sha256:2631d67b78f8ab9a2780c4c1a1fe9eb62a16319ce300b67640254d28006b383b

Observation 8ba8c819-b896-4d9e-9aab-dfe8a8a8c3cc · outbound

This paper cites Noris, H.

Normalized solutions for NLS equations with potential on bounded domains: Ground states and multiplicity Noris, H

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:52:16.974456Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T11:52:16.713858Z digest=sha256:4d4b8e669b389dd7bae5dff3cb7f1fe5aba0d76e38cfcc35a02f43486c91dd35

Observation 39036623-5a49-4460-8521-65f04bc41b3a · outbound

This paper cites Noris, H., Tavares, G., Verzini, Normalized solutions for nonline ar Schr¨ odinger systems on bounded domains, Nonlinearity 32 (2019) 1044–1072.

Normalized solutions for NLS equations with potential on bounded domains: Ground states and multiplicity Noris, H., Tavares, G., Verzini, Normalized solutions for nonline ar Schr¨ odinger systems on bounded domains, Nonlinearity 32 (2019) 1044–1072

Reference 22

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raw_fallback, observed 2026-08-12T11:52:16.960052Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T11:52:16.718096Z digest=sha256:7df2a6ebd6b68a8f096ae6790d13e9c0f82e6517075e7c17ff6963839386ed56

Observation 9c8efd4e-9dc3-40d8-8ac7-aafbd5ef3af2 · outbound

This paper cites Pierotti, G.

Normalized solutions for NLS equations with potential on bounded domains: Ground states and multiplicity Pierotti, G

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:52:16.944999Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T11:52:16.722321Z digest=sha256:ec4c64eda4ec6da39156a7535676346068eea10358b0398c9b6a86ed0f2e9703

Observation cf214d4e-b702-4720-805c-c106fe278742 · outbound

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

Normalized solutions for NLS equations with potential on bounded domains: Ground states and multiplicity Normalized solutions for Sobolev critical Schr\"{o}dinger equations on bounded domains

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-12T11:52:16.726592Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T11:52:16.726592Z digest=sha256:3389506f2413e2653a18dc18927891665d999d33e464255086cede999f9e1139

Observation 03b1a85e-7b11-491b-b970-7ee93c9a8d08 · outbound

This paper cites an unresolved cited work.

Normalized solutions for NLS equations with potential on bounded domains: Ground states and multiplicity Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-12T11:52:16.927955Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T11:52:16.731300Z digest=sha256:0ef64888d514789de33b41ff4de58e92f16bfd5117edec0f7cda6e70aeb9eef9

Observation 7dffb45a-89e5-401c-9b73-5beb92a47ddd · outbound

This paper cites Struwe, The existence of surfaces of constant mean curv ature with free boundaries, Acta Math.

Normalized solutions for NLS equations with potential on bounded domains: Ground states and multiplicity Struwe, The existence of surfaces of constant mean curv ature with free boundaries, Acta Math

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:52:16.913601Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T11:52:16.735570Z digest=sha256:4918c235f44ba452cf1eb00a50cb77b326d0c89c75c7958710b9f14d95b9b044

Observation a055fb23-9253-42ea-b2e6-e16fc3d69a3a · outbound

This paper cites Soave, Normalized ground states for the NLS equation with c ombined nonlinearities, J.

Normalized solutions for NLS equations with potential on bounded domains: Ground states and multiplicity Soave, Normalized ground states for the NLS equation with c ombined nonlinearities, J

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:52:16.899001Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T11:52:16.739792Z digest=sha256:06bd71ab365d39dcde5dcf457861bc504349f33913186338d8c94c42404e303b

Observation 7fb0337d-433e-40ec-abb2-58a23cd46b8f · outbound

This paper cites Soave, Normalized ground states for the NLS equation with c ombined nonlinearities: the Sobolev critical case, J.

Normalized solutions for NLS equations with potential on bounded domains: Ground states and multiplicity Soave, Normalized ground states for the NLS equation with c ombined nonlinearities: the Sobolev critical case, J

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:52:16.883827Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T11:52:16.744098Z digest=sha256:cba168dbdc54acce040340792bf4299f0c41a8aba02dead18b1eba6786c45db0

Observation 194cb73a-580b-4cb4-8db2-221d226032ff · outbound

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

Normalized solutions for NLS equations with potential on bounded domains: Ground states and multiplicity Two Positive Normalized Solutions on Star-shaped Bounded Domains to the Br\'ezis-Nirenberg Problem, I: Existence

Reference 29

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unresolved
no resolver link, observed 2026-08-12T11:52:16.748458Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T11:52:16.748458Z digest=sha256:8200e715a2b7579d29eeda96b88daa4349429a9180a09c7f2f8940e0d54d1770

Observation a740d898-7234-4715-bda5-9110e867f668 · outbound

This paper cites an unresolved cited work.

Normalized solutions for NLS equations with potential on bounded domains: Ground states and multiplicity Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-08-12T11:52:16.869127Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T11:52:16.753184Z digest=sha256:c6ec676d8274ec4623d50ba994a8c7d9c9977a6ae86814159654291f216091bf

Observation 6fd9a2ae-8eec-4c60-9903-c007f72e2127 · outbound

This paper cites an unresolved cited work.

Normalized solutions for NLS equations with potential on bounded domains: Ground states and multiplicity Unresolved cited work

Reference 31

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unresolved
no resolver link, observed 2026-08-12T11:52:16.757462Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T11:52:16.757462Z digest=sha256:23cff9513c37f3c13fae68e0ae912b8e54170be03aa35ffa5465f09fdd17245f

Observation 60e7cf48-c02a-4b9c-a3ed-dd8f950b7330 · outbound

This paper cites an unresolved cited work.

Normalized solutions for NLS equations with potential on bounded domains: Ground states and multiplicity Unresolved cited work

Reference 32

Resolution
unresolved
raw_fallback, observed 2026-08-12T11:52:16.844206Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T11:52:16.761742Z digest=sha256:e7ba3d60cb21b2b2acbd6b55005525001cb6916a20068acd2a36b7e52d74db90

Observation e4a0fbde-9bdd-4b58-b51e-8cc96190ca72 · outbound

This paper cites an unresolved cited work.

Normalized solutions for NLS equations with potential on bounded domains: Ground states and multiplicity Unresolved cited work

Reference 33

Resolution
unresolved
raw_fallback, observed 2026-08-12T11:52:16.829530Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T11:52:16.765821Z digest=sha256:68a7a867406d180bf485785d01b7fc73fefc62046d804a1c906b0165f65a1634

Pith citing papers

Observation a3a71d7c-9f29-4216-855b-acd6f35c8c5d · inbound

Normalized solutions for fractional Choquard equation with critical growth on bounded domain cites this paper.

Normalized solutions for fractional Choquard equation with critical growth on bounded domain Normalized solutions for NLS equations with potential on bounded domains: Ground states and multiplicity

Reference 47

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verified exact
local_arxiv, observed 2026-08-04T22:13:47.863339Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-04T22:13:47.453311Z digest=sha256:4408bf02545e7eb4a7612024ef91377978be600027285999b994ffbecb2bec3a