Paper Citation Record · LEDGER

Normalized solutions for the NLS equation with potential in higher dimension: the purely Sobolev critical case

As of 13 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 0 inbound Pith citation observations for arXiv:2507.23639.

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

pith.paper-citation-record.v1
2507.23639 v1

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T10:45:22.564341Z

measured 23 of 23 standing notices

One-hop event checks from named stored sources.

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

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

23 of 23 outbound references displayed

verified exact1
verified fuzzy17
unresolved5
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation aba37ff3-d3f8-4fdf-a713-3bce1bc52a30 · outbound

This paper cites Bartsch, R.

Normalized solutions for the NLS equation with potential in higher dimension: the purely Sobolev critical case Bartsch, R

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:45:22.723928Z

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 63764af5-8156-4546-ab62-c626b4695488 · outbound

This paper cites Bieganowski, J.

Normalized solutions for the NLS equation with potential in higher dimension: the purely Sobolev critical case Bieganowski, J

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:45:22.717973Z

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 d9079562-b7b7-40c8-9b24-3cf5e88a286d · outbound

This paper cites Br´ ezis, E.H.

Normalized solutions for the NLS equation with potential in higher dimension: the purely Sobolev critical case Br´ ezis, E.H

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:45:22.712083Z

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 e6322692-b1cc-4f7c-ac64-dfd6bbadae97 · outbound

This paper cites Ding and X.

Normalized solutions for the NLS equation with potential in higher dimension: the purely Sobolev critical case Ding and X

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:45:22.706202Z

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 70917821-4470-43d7-af0f-bb73235f5941 · outbound

This paper cites Ghoussoub, Duality and perturbation methods in critical point theory, Cambridge Uni- versity Press, Cambridge, 1993.

Normalized solutions for the NLS equation with potential in higher dimension: the purely Sobolev critical case Ghoussoub, Duality and perturbation methods in critical point theory, Cambridge Uni- versity Press, Cambridge, 1993

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:45:22.699751Z

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 6198d5df-fec6-49a5-8653-3424ed4941a3 · outbound

This paper cites Ikoma, Y.

Normalized solutions for the NLS equation with potential in higher dimension: the purely Sobolev critical case Ikoma, Y

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:45:22.693992Z

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 704dd251-c23d-4ac1-baf7-1ea1bffadae5 · outbound

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

Normalized solutions for the NLS equation with potential in higher dimension: the purely Sobolev critical case Jeanjean, Existence of solutions with prescribed norm for semilinear elliptic equations, Nonlinear Anal

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:45:22.688148Z

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 c75af69b-566c-43cc-abf3-1bbf9964cd6b · outbound

This paper cites Jeanjean, T.T.

Normalized solutions for the NLS equation with potential in higher dimension: the purely Sobolev critical case Jeanjean, T.T

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:45:22.681834Z

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 913ac7be-0275-4786-bc72-087cbad3e33f · outbound

This paper cites Lions, The concentration-compactness principle in the calculus of variations.

Normalized solutions for the NLS equation with potential in higher dimension: the purely Sobolev critical case Lions, The concentration-compactness principle in the calculus of variations

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:45:22.675712Z

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 27a2dc05-d5a4-4289-95e0-91d4789ae52d · outbound

This paper cites Molle, G.

Normalized solutions for the NLS equation with potential in higher dimension: the purely Sobolev critical case Molle, G

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:45:22.670095Z

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 8f66f9d9-efc0-49c9-bd82-442f6fe0809b · outbound

This paper cites Pellacci, A.

Normalized solutions for the NLS equation with potential in higher dimension: the purely Sobolev critical case Pellacci, A

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:45:22.664399Z

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 88ecf36b-ed13-45fc-9b1c-20509725ee33 · outbound

This paper cites Pierotti, G.

Normalized solutions for the NLS equation with potential in higher dimension: the purely Sobolev critical case Pierotti, G

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:45:22.658528Z

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 491edec1-e773-4718-90ab-ca8c84039ce8 · outbound

This paper cites Pierotti, G.

Normalized solutions for the NLS equation with potential in higher dimension: the purely Sobolev critical case Pierotti, G

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:45:22.652322Z

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 bfbc64a8-cee4-4426-b778-21f2d6e6d722 · outbound

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

Normalized solutions for the NLS equation with potential in higher dimension: the purely Sobolev critical case Soave, Normalized ground states for the NLS equation with combined nonlinearities, J

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:45:22.646552Z

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 aad3891c-835c-49af-b81c-96628ba101cf · outbound

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

Normalized solutions for the NLS equation with potential in higher dimension: the purely Sobolev critical case Soave, Normalized ground states for the NLS equation with combined nonlinearities: the Sobolev critical case, J

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:45:22.640264Z

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 77fe875f-32c8-4c54-a9df-fef145954ed6 · outbound

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

Normalized solutions for the NLS equation with potential in higher dimension: the purely Sobolev critical case Two Positive Normalized Solutions on Star-shaped Bounded Domains to the Br\'ezis-Nirenberg Problem, I: Existence

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-06T10:45:22.550277Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9a5eee81-4dd2-46d5-b69f-39e0ee564e94 · outbound

This paper cites an unresolved cited work.

Normalized solutions for the NLS equation with potential in higher dimension: the purely Sobolev critical case Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-06T10:45:22.632545Z

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 f89a8aaf-58f9-4dda-b374-395b8e797b3c · outbound

This paper cites an unresolved cited work.

Normalized solutions for the NLS equation with potential in higher dimension: the purely Sobolev critical case Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-06T10:45:22.625728Z

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 7de4d892-6b01-42c3-8828-75126d92acae · outbound

This paper cites Normalized solutions for the nonlinear Schr\"odinger equation with potential: the purely Sobolev critical case.

Normalized solutions for the NLS equation with potential in higher dimension: the purely Sobolev critical case Normalized solutions for the nonlinear Schr\"odinger equation with potential: the purely Sobolev critical case

Reference 19

Resolution: verified exact; local_arxiv, observed 2026-08-06T10:45:22.587657Z

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 f27ecd40-7955-4a8a-b23a-9a0e48e92cb1 · outbound

This paper cites an unresolved cited work.

Normalized solutions for the NLS equation with potential in higher dimension: the purely Sobolev critical case Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-06T10:45:22.619565Z

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 8bbcb6f7-90ae-4f4f-9267-d924a3ac4e7e · outbound

This paper cites an unresolved cited work.

Normalized solutions for the NLS equation with potential in higher dimension: the purely Sobolev critical case Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-06T10:45:22.613359Z

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 f705f192-a046-46ce-8008-f41524c258e8 · outbound

This paper cites Zhang, S.

Normalized solutions for the NLS equation with potential in higher dimension: the purely Sobolev critical case Zhang, S

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:45:22.607129Z

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 2a002885-5d57-4ce3-85d4-ba6ed0842e0b · outbound

This paper cites Zhong, W.

Normalized solutions for the NLS equation with potential in higher dimension: the purely Sobolev critical case Zhong, W

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:45:22.600916Z

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.

Pith citing papers

No inbound Pith citation observations are available.