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Paper Citation Record · LEDGER

Solutions with large number of peaks for a slightly supercritical nonlinear equation in dimension three

As of 23 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2506.01652.

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

pith.paper-citation-record.v1
2506.01652 v2

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:49:27.887937Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+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

22 of 22 outbound references displayed

  • verified exact0
  • verified fuzzy21
  • unresolved1
  • parse uncertain0
  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation efbcafb3-c76e-481f-9fef-073b4861b899 · outbound

This paper cites A Sobolev inequality with re- mainder term and critical equations on domains with topology for the polyharmonic operator.

Solutions with large number of peaks for a slightly supercritical nonlinear equation in dimension three A Sobolev inequality with re- mainder term and critical equations on domains with topology for the polyharmonic operator

Reference 1

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation ac9ca58a-3c7a-4772-9475-2189cea856df · outbound

This paper cites On the Hénon equation: asymptotic profile of ground states II.J.

Solutions with large number of peaks for a slightly supercritical nonlinear equation in dimension three On the Hénon equation: asymptotic profile of ground states II.J

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:33.318672Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T11:49:26.095180Z digest=sha256:9f355901bfcce6e83b61c7e6f568df1a28695712eb01a090a7d74449260c57c5

Observation 9f707e05-0aeb-40d1-b1af-2de397ec807d · outbound

This paper cites On the Hénon equation: asymptotic profile of ground states I.Ann.

Solutions with large number of peaks for a slightly supercritical nonlinear equation in dimension three On the Hénon equation: asymptotic profile of ground states I.Ann

Reference 3

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T11:49:26.284415Z digest=sha256:884a9921b65de9c390ea667707ab41f1c7ffe0c04ad4018e3eddc8963a4df21d

Observation 50ec1330-6957-43b9-badb-a2673b104ce3 · outbound

This paper cites The asymptotic behaviour of the ground state solu- tions for Hénon equation.J.

Solutions with large number of peaks for a slightly supercritical nonlinear equation in dimension three The asymptotic behaviour of the ground state solu- tions for Hénon equation.J

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:32.696472Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T11:49:26.372490Z digest=sha256:86e909aff41800092bb1f64e2d5ce63ae3be6330ed18bbe0af4bdac7203f5c3c

Observation e453cfad-ab55-4be1-a3ae-1a66249e82e3 · outbound

This paper cites Asymptotic behaviour of ground state solutions for the Hénon equation.IMA J.

Solutions with large number of peaks for a slightly supercritical nonlinear equation in dimension three Asymptotic behaviour of ground state solutions for the Hénon equation.IMA J

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:32.276594Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T11:49:26.516594Z digest=sha256:b7ca6b94c4a1431b5007fcfdec89493510c5d1854fde36f5407ac9dd55aea54b

Observation 5213c3c0-c293-44e7-a01b-562259ef3240 · outbound

This paper cites Algorithms and visualization for so- lutions of nonlinear elliptic equations.

Solutions with large number of peaks for a slightly supercritical nonlinear equation in dimension three Algorithms and visualization for so- lutions of nonlinear elliptic equations

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:31.940165Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T11:49:26.600507Z digest=sha256:dc7cee0c2461b37729548ffc252850a1895fe6ac1ee7c66956b42570e0ae17bf

Observation 58f4c0cf-ce4e-4a78-af85-72550c5ed526 · outbound

This paper cites Symmetry and related properties via the maximum principle.Comm.

Solutions with large number of peaks for a slightly supercritical nonlinear equation in dimension three Symmetry and related properties via the maximum principle.Comm

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:31.567271Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T11:49:26.690014Z digest=sha256:d5d72b98b9d146f8dfc4547c90ea3a1674b7733e959fcc6804d831175c045ebf

Observation 384ca77f-dca8-499f-87c0-6b766d155fca · outbound

This paper cites Supercritical elliptic problem with nonau- tonomous nonlinearities.

Solutions with large number of peaks for a slightly supercritical nonlinear equation in dimension three Supercritical elliptic problem with nonau- tonomous nonlinearities

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:31.290957Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T11:49:26.819245Z digest=sha256:619e827b0d856ac6df2beb214858866ec834c74704b45d0fd85ec2cdbfe79d8a

Observation 2fff022c-da3f-4ffb-bac5-808f6e9db897 · outbound

This paper cites an unresolved cited work.

Solutions with large number of peaks for a slightly supercritical nonlinear equation in dimension three Unresolved cited work

Reference 9

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation c475da20-c61b-4eaa-ab23-c4e6ceb2a554 · outbound

This paper cites Infinitely many non-radial solutions for the polyharmonic Hénonequationwithacriticalexponent.

Solutions with large number of peaks for a slightly supercritical nonlinear equation in dimension three Infinitely many non-radial solutions for the polyharmonic Hénonequationwithacriticalexponent

Reference 10

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T11:49:26.905588Z digest=sha256:801e749bb6ce087ef6ff2b1a19a54312a758e2c81f8fbf9a13e13e294e6edfe1

Observation e030d092-f963-4114-bca6-32d70e0d28c0 · outbound

This paper cites Bubble solutions for a supercritical polyharmonic Hénon-type equation.

Solutions with large number of peaks for a slightly supercritical nonlinear equation in dimension three Bubble solutions for a supercritical polyharmonic Hénon-type equation

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:30.708547Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T11:49:26.992725Z digest=sha256:482fc35a9edcb57ccc8f627d97df314258eb97cb943dd498b1c79049ad56dcee

Observation b2c656a3-418f-4f90-91f0-dcc5c305d35f · outbound

This paper cites Infinitely many spike solutions for the Hénon equation with critical growth.J.

Solutions with large number of peaks for a slightly supercritical nonlinear equation in dimension three Infinitely many spike solutions for the Hénon equation with critical growth.J

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:30.537442Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T11:49:27.081269Z digest=sha256:7c6ae431a2998db742521d109888b3d5606c323a5cd5cc96e830359062189342

Observation 46bcb31b-1b7d-475e-82aa-6c86fc8ac265 · outbound

This paper cites Numerical experiments on the stability of spherical stellar systems.

Solutions with large number of peaks for a slightly supercritical nonlinear equation in dimension three Numerical experiments on the stability of spherical stellar systems

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:30.386986Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T11:49:27.179424Z digest=sha256:f15aaf2a6630dc026a58b70b8f5a920d293d3733a1aa37988723731305adb9f3

Observation e25a8918-dd37-4427-bda6-ddc73f4ce756 · outbound

This paper cites Existence of positive solutions for the Hénon equation involving critical Sobolev terms.J.

Solutions with large number of peaks for a slightly supercritical nonlinear equation in dimension three Existence of positive solutions for the Hénon equation involving critical Sobolev terms.J

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:30.234052Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T11:49:27.260858Z digest=sha256:af1fff75493b7fbd2606af4ae1cd62e1c2d04c85407d1b818ad3c3cd127dcc2f

Observation 62622851-5174-4bed-a34b-f775c57fed61 · outbound

This paper cites Asymptotic behavior on the Hénon equation with supercritical exponent.

Solutions with large number of peaks for a slightly supercritical nonlinear equation in dimension three Asymptotic behavior on the Hénon equation with supercritical exponent

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:30.080652Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T11:49:27.314891Z digest=sha256:90c8a1d914a0b2980a5ea38b8653f2cbd10bb9639091420c1d7215a51ba48e52

Observation 61eba510-5cf8-470b-862b-491f0ced4595 · outbound

This paper cites Solutions with large number of peaks for the supercritical Hénon equation.Pacific J.

Solutions with large number of peaks for a slightly supercritical nonlinear equation in dimension three Solutions with large number of peaks for the supercritical Hénon equation.Pacific J

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:29.905008Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T11:49:27.376822Z digest=sha256:e6be1df8f42f38da04d9427393169e5200b543fde2cba007a885dc706e94191c

Observation 6456f1ed-b694-45bc-91e7-a8e238773931 · outbound

This paper cites A nonlinear Dirichlet problem on the unit ball and its applications.

Solutions with large number of peaks for a slightly supercritical nonlinear equation in dimension three A nonlinear Dirichlet problem on the unit ball and its applications

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:29.601808Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T11:49:27.435088Z digest=sha256:813dc51fbd86b353a8659e001e1e41d74589e5551b37cad4126f0a9fb5194076

Observation e9cdfaf5-63b0-4f02-8bbd-e3a980cfe4e1 · outbound

This paper cites Multiple boundary concentrating solutions to Dirichlet problem of Hénon equation.

Solutions with large number of peaks for a slightly supercritical nonlinear equation in dimension three Multiple boundary concentrating solutions to Dirichlet problem of Hénon equation

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:29.351438Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T11:49:27.506588Z digest=sha256:e6edc3e42f0401fedc9af11dfbb6af4da0dfabcf0833b90ff8065734f27aeae5

Observation 5e7e839a-8d41-44ba-8348-7a889a16514b · outbound

This paper cites Multi-peak solutions for the Hénon equation with slightly subcritical growth.Math.

Solutions with large number of peaks for a slightly supercritical nonlinear equation in dimension three Multi-peak solutions for the Hénon equation with slightly subcritical growth.Math

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:29.047985Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T11:49:27.566849Z digest=sha256:d5b15f340a1c2ef2da83d7628b059cbbd710dcfbb7da13a3a4b55e55ee34c747

Observation d77ab5bd-5334-4f10-bc98-9ff635c83eb9 · outbound

This paper cites On the eigenfunctions of the equation∆u +λf(u) = 0.

Solutions with large number of peaks for a slightly supercritical nonlinear equation in dimension three On the eigenfunctions of the equation∆u +λf(u) = 0

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:28.796537Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T11:49:27.633137Z digest=sha256:3860d0a2850e54928d0dc6c375d9d62020f0f2d7ff201c4a1aafcdd9272dc758

Observation 237f86fd-c4c6-4c00-acd7-0bbffdf88d44 · outbound

This paper cites Non-radial ground states for the Hénon equation.

Solutions with large number of peaks for a slightly supercritical nonlinear equation in dimension three Non-radial ground states for the Hénon equation

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:28.509451Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T11:49:27.744629Z digest=sha256:0b906b57f2e03583c616e2f1ae4e23159fa644348306dcdc3b15538f8bfb617c

Observation 53678df7-0329-48d4-a384-4a16629a4f77 · outbound

This paper cites Infinitely many nonradial solutions for the Hénon equation with critical growth.Rev.

Solutions with large number of peaks for a slightly supercritical nonlinear equation in dimension three Infinitely many nonradial solutions for the Hénon equation with critical growth.Rev

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:49:28.193414Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T11:49:27.887937Z digest=sha256:39836b425777271a9dfc85ea8f9fa6f7646d872e7dbafb0fb9041815dd2f2f8a

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