Paper Citation Record · LEDGER

Minimization problem associated with an improved Hardy-Sobolev type inequality

As of 16 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:1908.03915.

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

pith.paper-citation-record.v1
1908.03915 v3

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:07:59.867961Z

measured 26 of 26 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+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

26 of 26 outbound references displayed

verified exact2
verified fuzzy13
unresolved11
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation fefd0724-36fe-487b-b1e2-df647b74b11e · outbound

This paper cites an unresolved cited work.

Minimization problem associated with an improved Hardy-Sobolev type inequality Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-14T14:08:00.351595Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation c2a47e43-55cc-425e-a91a-3853c578f8a0 · outbound

This paper cites Diﬀerential Geometry 11 (1976), no.

Minimization problem associated with an improved Hardy-Sobolev type inequality Diﬀerential Geometry 11 (1976), no

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:08:00.335756Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation e89bdb45-20d9-4372-86e7-92a204e358ba · outbound

This paper cites A., The heat equation with a singular potential , Trans.

Minimization problem associated with an improved Hardy-Sobolev type inequality A., The heat equation with a singular potential , Trans

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:08:00.319326Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 7c79f42a-d612-44c9-bca6-f475f8c4d650 · outbound

This paper cites Beckner, W., Pearson, M., On sharp Sobolev embedding and the loga- rithmic Sobolev inequalitiy, Bull.

Minimization problem associated with an improved Hardy-Sobolev type inequality Beckner, W., Pearson, M., On sharp Sobolev embedding and the loga- rithmic Sobolev inequalitiy, Bull

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:08:00.302439Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation f1e024ff-375d-48b7-80fe-8d5de1ef3462 · outbound

This paper cites an unresolved cited work.

Minimization problem associated with an improved Hardy-Sobolev type inequality Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-14T14:08:00.284919Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 81daf2cb-caba-4f31-a07e-e7b95ad712a2 · outbound

This paper cites Brezis, E.

Minimization problem associated with an improved Hardy-Sobolev type inequality Brezis, E

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:08:00.269544Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 509f4556-1523-42b5-8793-d12ae3c19f39 · outbound

This paper cites L.,Blow-up solutions of some nonlinear elliptic prob- lems, Rev.

Minimization problem associated with an improved Hardy-Sobolev type inequality L.,Blow-up solutions of some nonlinear elliptic prob- lems, Rev

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:08:00.253117Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 9b03fec0-857b-45df-8586-d6a625ad300d · outbound

This paper cites 39 (2013), no.

Minimization problem associated with an improved Hardy-Sobolev type inequality 39 (2013), no

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:08:00.236046Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 30e33cf4-ccdf-4fff-97a9-f43ff2c35f8a · outbound

This paper cites 7 (1983), No.

Minimization problem associated with an improved Hardy-Sobolev type inequality 7 (1983), No

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:08:00.220813Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation fdad2619-5bb7-4b0e-a6b8-a27a7af9d4cf · outbound

This paper cites an unresolved cited work.

Minimization problem associated with an improved Hardy-Sobolev type inequality Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-14T14:08:00.205026Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 107db6af-6920-4cee-a677-bcf4d3c0f7ff · outbound

This paper cites an unresolved cited work.

Minimization problem associated with an improved Hardy-Sobolev type inequality Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-14T14:08:00.188141Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 4851df35-e9bf-41ca-9952-13adf76fcc63 · outbound

This paper cites an unresolved cited work.

Minimization problem associated with an improved Hardy-Sobolev type inequality Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-14T14:08:00.171260Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 34f6a3af-b0c8-4d57-8a17-3fe6debead1a · outbound

This paper cites an unresolved cited work.

Minimization problem associated with an improved Hardy-Sobolev type inequality Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-14T14:08:00.156494Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation c69c3901-9f5d-426f-91a1-8593d9a51964 · outbound

This paper cites H., Sharp constants in the Hardy-Littlewood-Sobolev and relat ed inequalities, Ann.

Minimization problem associated with an improved Hardy-Sobolev type inequality H., Sharp constants in the Hardy-Littlewood-Sobolev and relat ed inequalities, Ann

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:08:00.140148Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation c271c400-f8e2-4f48-8f8d-8b5bb777e125 · outbound

This paper cites an unresolved cited work.

Minimization problem associated with an improved Hardy-Sobolev type inequality Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-14T14:08:00.123182Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 66056edc-e1bd-40ae-8140-e8a889f32f6e · outbound

This paper cites Diﬀerential Equations 267 (2019), no.

Minimization problem associated with an improved Hardy-Sobolev type inequality Diﬀerential Equations 267 (2019), no

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:08:00.106434Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 23ac11e0-7bbc-4155-b71c-a2c463685918 · outbound

This paper cites Two limits on Hardy and Sobolev inequalities.

Minimization problem associated with an improved Hardy-Sobolev type inequality Two limits on Hardy and Sobolev inequalities

Reference 17

Resolution: verified exact; local_arxiv, observed 2026-08-14T14:07:59.941508Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 898a75ba-a8ed-4077-851e-1d56a135bd51 · outbound

This paper cites Remarks on a limiting case of Hardy type inequalities.

Minimization problem associated with an improved Hardy-Sobolev type inequality Remarks on a limiting case of Hardy type inequalities

Reference 18

Resolution: verified exact; local_arxiv, observed 2026-08-14T14:07:59.915626Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 5b513790-bf2f-4c0b-9e20-11b0a4515806 · outbound

This paper cites an unresolved cited work.

Minimization problem associated with an improved Hardy-Sobolev type inequality Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-14T14:08:00.089355Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation fc846bf0-5f28-4214-9dd3-ef37c13bd1f3 · outbound

This paper cites an unresolved cited work.

Minimization problem associated with an improved Hardy-Sobolev type inequality Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-14T14:08:00.072336Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation a9ab9c9d-020c-4377-bee6-337aad43821b · outbound

This paper cites A., Existence of solitary waves in higher dimensions , Comm.

Minimization problem associated with an improved Hardy-Sobolev type inequality A., Existence of solitary waves in higher dimensions , Comm

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:08:00.055311Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 2bfb4a57-b079-4173-b2be-c8a536229aae · outbound

This paper cites Applications to nonlinear partial di ﬀer- ential equations and Hamiltonian systems.

Minimization problem associated with an improved Hardy-Sobolev type inequality Applications to nonlinear partial di ﬀer- ential equations and Hamiltonian systems

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:08:00.038548Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 56720dd7-97de-4ead-a213-187b126024b7 · outbound

This paper cites an unresolved cited work.

Minimization problem associated with an improved Hardy-Sobolev type inequality Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-14T14:08:00.019166Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 3a8136da-8558-4a11-ae36-d827e268c38b · outbound

This paper cites S., On imbeddings into Orlicz spaces and some applications , J.

Minimization problem associated with an improved Hardy-Sobolev type inequality S., On imbeddings into Orlicz spaces and some applications , J

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:07:59.996521Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 21051fd6-3c8e-40f0-8be5-a3cf26dcf3b2 · outbound

This paper cites L., Zuazua, E., The Hardy inequality and asymptotic behaviour of the heat equation with an inverse-square potential , J.

Minimization problem associated with an improved Hardy-Sobolev type inequality L., Zuazua, E., The Hardy inequality and asymptotic behaviour of the heat equation with an inverse-square potential , J

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:07:59.977545Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 20ead201-e5b9-490d-af6f-06a036010f37 · outbound

This paper cites an unresolved cited work.

Minimization problem associated with an improved Hardy-Sobolev type inequality Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-14T14:07:59.958554Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Pith citing papers

No inbound Pith citation observations are available.