Pith. sign in

Paper Citation Record · LEDGER

Existence of Bianchi-Egnell stability extremizer for the Hardy-Sobolev inequality

As of 21 August 2026, this Paper Citation Record lists 54 of 54 outbound references and 2 inbound Pith citation observations for arXiv:2505.07039.

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

pith.paper-citation-record.v1
2505.07039 v2

Coverage vector

measured 54 of 54 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T22:40:42.694438Z

measured 56 of 56 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T04:22:24.256640Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-14T04:21:18.577081Z

Reference resolution

54 of 54 outbound references displayed

  • verified exact3
  • verified fuzzy39
  • unresolved12
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 62625569-7637-40e2-94f1-22e3700a55fe · outbound

This paper cites Probl \`e mes isoperimetriques et espaces de Sobolev.

Existence of Bianchi-Egnell stability extremizer for the Hardy-Sobolev inequality Probl \`e mes isoperimetriques et espaces de Sobolev

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:40:43.722628Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T22:40:42.439760Z digest=sha256:e386bc143aaea414b4eb990ba6fbc3f448597afd69f96a85d6ad2221ed89f823

Observation 84f20483-e8c6-4c10-8d25-d7880ff9493f · outbound

This paper cites Stability in Gagliardo-Nirenberg-Sobolev inequalities: flows, regularity and the entropy method.

Existence of Bianchi-Egnell stability extremizer for the Hardy-Sobolev inequality Stability in Gagliardo-Nirenberg-Sobolev inequalities: flows, regularity and the entropy method

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-15T22:40:42.445776Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T22:40:42.445776Z digest=sha256:71632835bb62149aa9b37c11ebe9f875ed9fa854286c15e1ebc907a4c5edb809

Observation 19c83b17-2ee7-490f-97d4-c01ed8384be7 · outbound

This paper cites Constructive stability results in interpolation inequalities and explicit improvements of decay rates of fast diffusion equations.

Existence of Bianchi-Egnell stability extremizer for the Hardy-Sobolev inequality Constructive stability results in interpolation inequalities and explicit improvements of decay rates of fast diffusion equations

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:40:43.706724Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T22:40:42.450912Z digest=sha256:52916d7517f1d8cbc89fd0e79d274e074e72617f872d75bd155f2ab1ee73dbca

Observation c6faa0ee-a60c-4c90-85e1-17933d2303e6 · outbound

This paper cites A note on the S obolev inequality.

Existence of Bianchi-Egnell stability extremizer for the Hardy-Sobolev inequality A note on the S obolev inequality

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-15T22:40:42.457139Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T22:40:42.457139Z digest=sha256:7cc58557ec1d17d046e7f0ecef66c1fb7889517982d60888350a80c3656832bd

Observation 2bbf8782-c97c-403c-8506-df26042f6edf · outbound

This paper cites Sharp quantitative stability of Poincar \'e - Sobolev inequality in the hyperbolic space and applications to fast diffusion flows.

Existence of Bianchi-Egnell stability extremizer for the Hardy-Sobolev inequality Sharp quantitative stability of Poincar \'e - Sobolev inequality in the hyperbolic space and applications to fast diffusion flows

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:40:43.679376Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T22:40:42.462142Z digest=sha256:d6592bfad04e84f7f806616688ee59851d47b2141393af8a6bc2cae4267d758f

Observation 4a4e37b5-79a8-4e2a-8ce5-d5aecccb3afa · outbound

This paper cites an unresolved cited work.

Existence of Bianchi-Egnell stability extremizer for the Hardy-Sobolev inequality Unresolved cited work

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-15T22:40:42.467116Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T22:40:42.467116Z digest=sha256:c0ce931d3a107b616010596aae1c3a191ebd9938a49439eaa8e8c31ba9fb522b

Observation 163fbc8d-a195-4dd5-83d6-e7f58fd6360e · outbound

This paper cites On the best constant for a weighted Sobolev - Hardy inequality.

Existence of Bianchi-Egnell stability extremizer for the Hardy-Sobolev inequality On the best constant for a weighted Sobolev - Hardy inequality

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:40:43.652640Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T22:40:42.472410Z digest=sha256:36496c0f24619c9e02c606d5908d2595091d38be419f3f97e8093b7a41ed1c49

Observation 8882cee3-0362-400a-9cf9-505693fabd69 · outbound

This paper cites Caffarelli- Kohn - Nirenberg identities, inequalities and their stabilities.

Existence of Bianchi-Egnell stability extremizer for the Hardy-Sobolev inequality Caffarelli- Kohn - Nirenberg identities, inequalities and their stabilities

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:40:43.637010Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T22:40:42.477269Z digest=sha256:f466a13a5269a9961d6d6b7b70eca5da2951f022ad5c8edb3467fb6cbae3a263

Observation 57928d2b-359c-4b00-9b66-f2aedcdd8be2 · outbound

This paper cites Cianchi, N.

Existence of Bianchi-Egnell stability extremizer for the Hardy-Sobolev inequality Cianchi, N

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:40:43.621754Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T22:40:42.481987Z digest=sha256:652a237af3e97841e0ec2f984ab432d764c6096d9d8326cc9084ef326d49a34c

Observation 402d3867-3c8f-40c7-81e2-100092271a04 · outbound

This paper cites Frank, and Tobias Weth.

Existence of Bianchi-Egnell stability extremizer for the Hardy-Sobolev inequality Frank, and Tobias Weth

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:40:43.606132Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T22:40:42.486571Z digest=sha256:356386c8f510dfd15393252cca9f33720c0c06a12d4a0f2bdadd0dbdc338f6d1

Observation b3860fc0-c413-4beb-b754-f251da41c014 · outbound

This paper cites Caffarelli, R.

Existence of Bianchi-Egnell stability extremizer for the Hardy-Sobolev inequality Caffarelli, R

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:40:43.591116Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T22:40:42.491267Z digest=sha256:6794ea0da8ee079b9f4454b5d8f27929e9da16817a07a407508f74b71025bb1d

Observation adc4935e-052b-404e-9618-9969f4f9b449 · outbound

This paper cites Stability of Hardy - Littlewood - Sobolev inequalities with explicit lower bounds.

Existence of Bianchi-Egnell stability extremizer for the Hardy-Sobolev inequality Stability of Hardy - Littlewood - Sobolev inequalities with explicit lower bounds

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:40:43.576489Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T22:40:42.495958Z digest=sha256:675966880a13e34e1ccc091303f51d97dcbeea67de99838cf77a7cb2196dc5cd

Observation d2d10dc8-c3df-451a-8e7a-306c217a2034 · outbound

This paper cites On the Caffarelli - Kohn - Nirenberg inequalities: sharp constants, existence (and nonexistence), and symmetry of extremal functions.

Existence of Bianchi-Egnell stability extremizer for the Hardy-Sobolev inequality On the Caffarelli - Kohn - Nirenberg inequalities: sharp constants, existence (and nonexistence), and symmetry of extremal functions

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:40:43.559598Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T22:40:42.500618Z digest=sha256:a9e4fe08a31420b33e479125348fc27b329dffa03265c49304682e29b5410bb3

Observation 0fe7dda9-96cf-4245-a848-50beb67fe51d · outbound

This paper cites an unresolved cited work.

Existence of Bianchi-Egnell stability extremizer for the Hardy-Sobolev inequality Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-15T22:40:43.544139Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T22:40:42.505310Z digest=sha256:195562328dea3661dad5da548bb1e7f9b9aaef73be473dded078c04688328e38

Observation 04515e69-3e05-4b9b-a803-fce2a60324e8 · outbound

This paper cites Esteban, Alessio Figalli, Rupert L.

Existence of Bianchi-Egnell stability extremizer for the Hardy-Sobolev inequality Esteban, Alessio Figalli, Rupert L

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:40:43.528921Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T22:40:42.509801Z digest=sha256:8f42f92019ec323c360c02db19c3aee5ec1e7e74909d06f7457115aadd100d58

Observation 915d22a3-2cf0-4337-8327-aaf0c2373d4e · outbound

This paper cites Esteban, and Michael Loss.

Existence of Bianchi-Egnell stability extremizer for the Hardy-Sobolev inequality Esteban, and Michael Loss

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:40:43.513772Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T22:40:42.514204Z digest=sha256:96649bb6d99b1e16f9e1cd9a5c2722f32891b06750845d9dce428dc08735dbf6

Observation 41bb5c74-5030-47ab-b581-984db4277d68 · outbound

This paper cites Esteban, and Michael Loss.

Existence of Bianchi-Egnell stability extremizer for the Hardy-Sobolev inequality Esteban, and Michael Loss

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:40:43.499668Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T22:40:42.518763Z digest=sha256:8cee35f07178dbe25da368b1005d3a9cd20d1b4a6d0b02fd0877d9a1ab954f1b

Observation 42597a30-6bd9-4338-a046-e015c9679d71 · outbound

This paper cites Esteban, Ari Laptev, and Michael Loss.

Existence of Bianchi-Egnell stability extremizer for the Hardy-Sobolev inequality Esteban, Ari Laptev, and Michael Loss

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:40:43.484188Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T22:40:42.523272Z digest=sha256:95fe9ffeb842d929ccefdc6c8add1f445ea9ef515a28dc8f2dfa39a99fd327a2

Observation 7ce6e348-9e27-42e2-9225-5427f615449e · outbound

This paper cites Esteban, Michael Loss, and Gabriella Tarantello.

Existence of Bianchi-Egnell stability extremizer for the Hardy-Sobolev inequality Esteban, Michael Loss, and Gabriella Tarantello

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:40:43.469186Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T22:40:42.527741Z digest=sha256:09995709f887a2676f0fb2b3603c6e2086ff0e462e733cbc122abfaa3427435d

Observation df3e8992-42cc-46dc-b357-fdd54f92b829 · outbound

This paper cites Esteban, and Gabriella Tarantello.

Existence of Bianchi-Egnell stability extremizer for the Hardy-Sobolev inequality Esteban, and Gabriella Tarantello

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:40:43.453884Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T22:40:42.532750Z digest=sha256:60c4f9f4f38eff1aef4fb488f3035ffdb076d214201e231832d76e8a6686d50d

Observation 552ea8da-3b26-466a-8a04-0d6f899fb637 · outbound

This paper cites Non-degeneracy, stability and symmetry for the fractional Caffarelli-Kohn-Nirenberg inequality.

Existence of Bianchi-Egnell stability extremizer for the Hardy-Sobolev inequality Non-degeneracy, stability and symmetry for the fractional Caffarelli-Kohn-Nirenberg inequality

Reference 21

Resolution
verified exact
local_arxiv, observed 2026-08-15T22:40:42.942868Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T22:40:42.537672Z digest=sha256:c431d470b6a939d2630404c23b39eaedeb871a81f16b9fde84f3faff582c085d

Observation 0e37a636-a3a4-4db1-bf70-bd4633bcb485 · outbound

This paper cites Stability results for Sobolev , logarithmic Sobolev , and related inequalities.

Existence of Bianchi-Egnell stability extremizer for the Hardy-Sobolev inequality Stability results for Sobolev , logarithmic Sobolev , and related inequalities

Reference 22

Resolution
verified exact
raw_fallback, observed 2026-08-15T22:40:42.919372Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T22:40:42.542735Z digest=sha256:8c0e40125f148d2fe4eb0b59e6c8eb0129d264d72a3359448e628a32c888f31a

Observation 8554a008-af5e-49ed-8f40-7106f8388a20 · outbound

This paper cites Existence of minimizers of the stability constant of caffarelli–kohn–nirenberg inequality.

Existence of Bianchi-Egnell stability extremizer for the Hardy-Sobolev inequality Existence of minimizers of the stability constant of caffarelli–kohn–nirenberg inequality

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:40:43.438425Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T22:40:42.547629Z digest=sha256:35867fd7a0346fcdff15ef2e4f522fbcfce8de05a58a61286882f72d75c7cd11

Observation a3f3bbe8-0659-4cef-9aa3-88dcd2d3cf23 · outbound

This paper cites Quantitative stability for minimizing Yamabe metrics.

Existence of Bianchi-Egnell stability extremizer for the Hardy-Sobolev inequality Quantitative stability for minimizing Yamabe metrics

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:40:43.422350Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T22:40:42.552334Z digest=sha256:2445a03b38c42f7a0bee4d10ecc85e165363711c36b6bbc653db2517a18d61e8

Observation 2cd7cda7-ef0b-49dc-8ecc-7f261ec31eb8 · outbound

This paper cites Stability in geometric and functional inequalities.

Existence of Bianchi-Egnell stability extremizer for the Hardy-Sobolev inequality Stability in geometric and functional inequalities

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:40:43.406765Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T22:40:42.557228Z digest=sha256:07830b1bbd8c7ff30d9bdee5492e5434a12d09f0340d3a7f8ab8fb43b11dc58b

Observation 3eb5a2b4-a707-4c99-8e0e-740f96c625ef · outbound

This paper cites Gradient stability for the Sobolev inequality: the case \(p 2\).

Existence of Bianchi-Egnell stability extremizer for the Hardy-Sobolev inequality Gradient stability for the Sobolev inequality: the case \(p 2\)

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:40:43.390871Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T22:40:42.562170Z digest=sha256:f7725e1b99c83867704958542e1df466cf8edd96875cbfd9727a8686ae9b6e6d

Observation e2158dca-1bc7-4a07-bdad-48411a9bba06 · outbound

This paper cites Frank and Jonas W.

Existence of Bianchi-Egnell stability extremizer for the Hardy-Sobolev inequality Frank and Jonas W

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:40:43.375026Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T22:40:42.566951Z digest=sha256:0324924c8d401036a4b3851ff517e743902362ff7aafca398618c9b63ea69e83

Observation 690598a1-7e7b-4027-9b5e-553dca458204 · outbound

This paper cites an unresolved cited work.

Existence of Bianchi-Egnell stability extremizer for the Hardy-Sobolev inequality Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-15T22:40:43.359752Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T22:40:42.571797Z digest=sha256:436392ee0e3bf76fa082373fe88e78825fe4a4b71ed7e804d5bc41cd486137c5

Observation 5ae055cc-b882-4f06-b81f-263be0ce0dc7 · outbound

This paper cites an unresolved cited work.

Existence of Bianchi-Egnell stability extremizer for the Hardy-Sobolev inequality Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-15T22:40:43.345092Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T22:40:42.576279Z digest=sha256:41e554afdcdec26ef5246244d4df96fb74a21b411be0050230348d8eadca764b

Observation b685f0f4-d0d4-467e-9a61-f6598daf14f6 · outbound

This paper cites Perturbation results of critical elliptic equations of Caffarelli - Kohn - Nirenberg type.

Existence of Bianchi-Egnell stability extremizer for the Hardy-Sobolev inequality Perturbation results of critical elliptic equations of Caffarelli - Kohn - Nirenberg type

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:40:43.329232Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T22:40:42.580860Z digest=sha256:45fd268f59f68584b49e0609b65776fb3639168a4cbd76f3c222458ccffc8938

Observation 1d2bf1e7-f08f-4012-81c4-9744295b0c9a · outbound

This paper cites Sharp gradient stability for the Sobolev inequality.

Existence of Bianchi-Egnell stability extremizer for the Hardy-Sobolev inequality Sharp gradient stability for the Sobolev inequality

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:40:43.311773Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T22:40:42.585451Z digest=sha256:18d12d925320d93972b7a1a3a007359e0fe043509ea2ac1fb4a31f755864c05d

Observation 4d32708d-6d43-483f-9f28-5a7ccdccfca4 · outbound

This paper cites Sobolev inequalities for the Hardy - Schr \"o dinger operator: extremals and critical dimensions.

Existence of Bianchi-Egnell stability extremizer for the Hardy-Sobolev inequality Sobolev inequalities for the Hardy - Schr \"o dinger operator: extremals and critical dimensions

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:40:43.295241Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T22:40:42.590268Z digest=sha256:06da198034dedd584413d5686323525c88d16406f4be9064a4db12fea546fdde

Observation 6b670b06-b666-4b39-9fa2-88cca8e416a8 · outbound

This paper cites On the sharp constant in the B ianchi- E gnell stability inequality.

Existence of Bianchi-Egnell stability extremizer for the Hardy-Sobolev inequality On the sharp constant in the B ianchi- E gnell stability inequality

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:40:43.277890Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T22:40:42.594909Z digest=sha256:5b7207766083f83c0861faf92964ddc15653cfc6b019d43b731ac5924c279b7e

Observation eeb89989-aa68-4ad0-b9fc-1db74a4c7ae0 · outbound

This paper cites Tobias könig, stability for the sobolev inequality: Existence of a minimizer.

Existence of Bianchi-Egnell stability extremizer for the Hardy-Sobolev inequality Tobias könig, stability for the sobolev inequality: Existence of a minimizer

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:40:43.261670Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T22:40:42.599503Z digest=sha256:7be3df3a8b26d8e085e3572f35ce853775ab12946c5fde9cb0ba4a3b70fc0e7e

Observation ff33ee11-1f10-426c-aba6-58d98c8db8a7 · outbound

This paper cites An exceptional property of the one-dimensional Bianchi - Egnell inequality.

Existence of Bianchi-Egnell stability extremizer for the Hardy-Sobolev inequality An exceptional property of the one-dimensional Bianchi - Egnell inequality

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:40:43.245377Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T22:40:42.604389Z digest=sha256:85231bbef24e4d4ebb67ae3e7e75c3a32d080ad83f1d5505cb40179e7f109ffe

Observation 698cfd6b-18b5-41da-adb3-1fb72cc947c4 · outbound

This paper cites an unresolved cited work.

Existence of Bianchi-Egnell stability extremizer for the Hardy-Sobolev inequality Unresolved cited work

Reference 36

Resolution
unresolved
no resolver link, observed 2026-08-15T22:40:42.609343Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T22:40:42.609343Z digest=sha256:7901fb035221da3682e0d9ed8b8a4200c27744bbe65871ca239adc8026a07027

Observation a4e92134-838b-4c8d-b286-9a0ccbb35ad2 · outbound

This paper cites an unresolved cited work.

Existence of Bianchi-Egnell stability extremizer for the Hardy-Sobolev inequality Unresolved cited work

Reference 37

Resolution
unresolved
raw_fallback, observed 2026-08-15T22:40:43.217693Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T22:40:42.613906Z digest=sha256:32f4fd897827f7f249a34941c914c7a80658cb488083ad8348dd57a54d9d7ca3

Observation abc7aa66-3e57-4949-874b-a4e28ff4f4f4 · outbound

This paper cites an unresolved cited work.

Existence of Bianchi-Egnell stability extremizer for the Hardy-Sobolev inequality Unresolved cited work

Reference 38

Resolution
unresolved
raw_fallback, observed 2026-08-15T22:40:43.202277Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T22:40:42.618485Z digest=sha256:fab279ef4ad6dde6af130dd1c9fa9228bcbc34cad37ff6bb88e0dceed7555514

Observation 60ede187-ca37-4dbe-a01a-08b8a1be49fc · outbound

This paper cites M \"u ller.

Existence of Bianchi-Egnell stability extremizer for the Hardy-Sobolev inequality M \"u ller

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:40:43.186581Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T22:40:42.623249Z digest=sha256:97fe91fd22f493026bf9949ee5c0e82b9325a6d0c44952c465afc536743d91c7

Observation 4043e57b-68c9-4d42-8bb2-58ffe751c6f7 · outbound

This paper cites A note on strong-form stability for the Sobolev inequality.

Existence of Bianchi-Egnell stability extremizer for the Hardy-Sobolev inequality A note on strong-form stability for the Sobolev inequality

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:40:43.171610Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T22:40:42.627936Z digest=sha256:3b1caf2a9fcfaf468109a1e3921393082de74a37c7df2a944e656afab842c15c

Observation b8c3f52b-3c52-4bfb-b45f-8267d7437aca · outbound

This paper cites Stability of Sobolev inequalities on Riemannian manifolds with Ricci curvature lower bounds.

Existence of Bianchi-Egnell stability extremizer for the Hardy-Sobolev inequality Stability of Sobolev inequalities on Riemannian manifolds with Ricci curvature lower bounds

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:40:43.155185Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T22:40:42.632518Z digest=sha256:b398eea4b7a0f7aa2dbf3a5de404d425335983a8715a2fc3921d3432d565731b

Observation 4452108f-3bbd-473b-8664-f151c7575a0e · outbound

This paper cites The role of the G reen's function in a nonlinear elliptic equation involving the critical S obolev exponent.

Existence of Bianchi-Egnell stability extremizer for the Hardy-Sobolev inequality The role of the G reen's function in a nonlinear elliptic equation involving the critical S obolev exponent

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:40:43.137614Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T22:40:42.636920Z digest=sha256:a28ee72aab8f8e86862d9ea1da928ab0a0b36e75bb820f5f1db4316fe421f6d5

Observation b6667398-4f74-421a-8a5c-f563c8397bf1 · outbound

This paper cites Nondegeneracy of positive solutions to nonlinear H ardy- S obolev equations.

Existence of Bianchi-Egnell stability extremizer for the Hardy-Sobolev inequality Nondegeneracy of positive solutions to nonlinear H ardy- S obolev equations

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:40:43.121580Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T22:40:42.641466Z digest=sha256:a0321a55d3281f20494405bcb0dbe8eda3f4b5c9794ea86c03432c20d9bd368c

Observation 244c8276-e485-408a-bf81-fe30cf39355e · outbound

This paper cites Extended Caffarelli - Kohn - Nirenberg inequalities, and remainders, stability, and superweights for \(L^ p \) -weighted Hardy inequalities.

Existence of Bianchi-Egnell stability extremizer for the Hardy-Sobolev inequality Extended Caffarelli - Kohn - Nirenberg inequalities, and remainders, stability, and superweights for \(L^ p \) -weighted Hardy inequalities

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:40:43.105738Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T22:40:42.646293Z digest=sha256:c7b235b40f8cbaf8110143b871072cf2056b8e787249a3442c146f8401200886

Observation 9b30ae17-de0c-4c27-9e77-eff1a8334792 · outbound

This paper cites an unresolved cited work.

Existence of Bianchi-Egnell stability extremizer for the Hardy-Sobolev inequality Unresolved cited work

Reference 45

Resolution
unresolved
raw_fallback, observed 2026-08-15T22:40:43.089216Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T22:40:42.650735Z digest=sha256:8cd4fee6aae0ba82482fb9474174dbe5d2d74ed816810a471ce17e6249776f9c

Observation c53bef7b-c62b-4a0f-b7af-8f2235f29497 · outbound

This paper cites Harmonic analysis , volume Part 3 of A Comprehensive Course in Analysis.

Existence of Bianchi-Egnell stability extremizer for the Hardy-Sobolev inequality Harmonic analysis , volume Part 3 of A Comprehensive Course in Analysis

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:40:43.072871Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T22:40:42.655719Z digest=sha256:506ce6140689041993da185375577c27debb9c38c5ea93aa325088b1282a5165

Observation 1a488df4-a832-43ee-b756-4f850e648869 · outbound

This paper cites Stein and Guido Weiss.

Existence of Bianchi-Egnell stability extremizer for the Hardy-Sobolev inequality Stein and Guido Weiss

Reference 47

Resolution
unresolved
no resolver link, observed 2026-08-15T22:40:42.660346Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T22:40:42.660346Z digest=sha256:37e49a451d0e90f02cb094a7b11223e65c66095aef38509499ae1ab63a811b51

Observation 0a6bd145-de82-4a46-972c-ace7d5c81646 · outbound

This paper cites Best constant in Sobolev inequality.

Existence of Bianchi-Egnell stability extremizer for the Hardy-Sobolev inequality Best constant in Sobolev inequality

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:40:43.044618Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T22:40:42.665440Z digest=sha256:37a8848c4b5c3a92179fe986a184f73fc66d9a31926846617358dd43aa6ce3db

Observation ee21feec-198f-4ae3-b3a3-362c300e0022 · outbound

This paper cites On positive entire solutions to a class of equations with a singular coefficient and critical exponent.

Existence of Bianchi-Egnell stability extremizer for the Hardy-Sobolev inequality On positive entire solutions to a class of equations with a singular coefficient and critical exponent

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:40:43.027817Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T22:40:42.670191Z digest=sha256:acac7af68c30891c7a7107b8b6e6b9a2a750907efd58dfd55a7ee8901842be50

Observation f822e6ca-e8d4-4e90-b228-d409bf8f729a · outbound

This paper cites Minimax theorems , volume 24 of Progress in Nonlinear Differential Equations and their Applications.

Existence of Bianchi-Egnell stability extremizer for the Hardy-Sobolev inequality Minimax theorems , volume 24 of Progress in Nonlinear Differential Equations and their Applications

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:40:43.012622Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T22:40:42.675379Z digest=sha256:abb29bca4987b1e27285eb6ef0857f9643e77414a4bfb4563e59684f32549bc3

Observation 42abfff0-2968-4623-ad36-ae473ea0ea9c · outbound

This paper cites On the stability of the Caffarelli - Kohn - Nirenberg inequality.

Existence of Bianchi-Egnell stability extremizer for the Hardy-Sobolev inequality On the stability of the Caffarelli - Kohn - Nirenberg inequality

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:40:42.996408Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T22:40:42.680083Z digest=sha256:45c4e3b54e3dc3f31188a6d825c99ccf05d30e507275dc3d66735eff04b31db6

Observation a6eb10c5-385a-4b20-a607-97be79f52f1d · outbound

This paper cites Stability of the Caffarelli - Kohn - Nirenberg inequality: the existence of minimizers.

Existence of Bianchi-Egnell stability extremizer for the Hardy-Sobolev inequality Stability of the Caffarelli - Kohn - Nirenberg inequality: the existence of minimizers

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:40:42.978298Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T22:40:42.685027Z digest=sha256:41b0511723700b553bb90e14d81bd8bc43386f6d725b04668bed8671a71f9cdd

Observation 99afe7ee-a687-4585-ae3f-1c542f49cec4 · outbound

This paper cites Quantitative stability for the Caffarelli - Kohn - Nirenberg inequality.

Existence of Bianchi-Egnell stability extremizer for the Hardy-Sobolev inequality Quantitative stability for the Caffarelli - Kohn - Nirenberg inequality

Reference 53

Resolution
unresolved
no resolver link, observed 2026-08-15T22:40:42.689839Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T22:40:42.689839Z digest=sha256:522bbf9bd8f22b936e6d0735240361f21ba7bd76af5f0d9a02cc555c345abaac

Observation fbd78a83-1b58-400d-914d-6bdd1388303a · outbound

This paper cites Degenerate stability of critical points of the Caffarelli - Kohn - Nirenberg inequality along the Felli - Schneider curve.

Existence of Bianchi-Egnell stability extremizer for the Hardy-Sobolev inequality Degenerate stability of critical points of the Caffarelli - Kohn - Nirenberg inequality along the Felli - Schneider curve

Reference 54

Resolution
verified exact
raw_fallback, observed 2026-08-15T22:40:42.793131Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T22:40:42.694438Z digest=sha256:a7a4fe6d63323a7ef0e98eb11e186c80bddc43907bdb4fc9ce9ae2d3f503e857

Pith citing papers

Observation 4d54f38f-87f9-4146-ac04-d4d759f3eafb · inbound

Optimal Stability Bounds, Minimizers, and Critical Points for a Critical Nonlocal Sobolev Inequality on the Heisenberg Group cites this paper.

Optimal Stability Bounds, Minimizers, and Critical Points for a Critical Nonlocal Sobolev Inequality on the Heisenberg Group Existence of Bianchi-Egnell stability extremizer for the Hardy-Sobolev inequality

Reference 6

Resolution
verified exact
local_arxiv, observed 2026-08-14T04:21:18.581677Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T04:21:18.066701Z digest=sha256:abcc7a58d0e9ae7f2bd147272fea18d034f2cfcf7ffe323f1c03a331c0a83430

Observation 9d44d018-4709-44fc-b4d7-7fc20ad8c47b · inbound

Existence of Yamabe stability optimizers cites this paper.

Existence of Yamabe stability optimizers Existence of Bianchi-Egnell stability extremizer for the Hardy-Sobolev inequality

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-14T04:22:24.256640Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T04:22:24.256640Z digest=sha256:53e452d97fb10b6a0e502a1d97e7dd9c03baf25ab6310054d29010f6fd3d5876