Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-16T11:04:02.051117Z
Paper Citation Record · LEDGER
Fractional $Q$-curvature on the sphere and optimal partitions
As of 19 August 2026, this Paper Citation Record lists 50 of 50 outbound references and 1 inbound Pith citation observation for arXiv:2504.16882.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-06T12:34:41.546490Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-06T12:34:41.905368Z
Reference resolution
50 of 50 outbound references displayed
- verified exact3
- verified fuzzy26
- unresolved21
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation b77c2f99-d1a8-452b-b327-7b6ff259f8e8 · outbound
This paper cites On the maximum principle for higher-order fractional Laplacians.
Fractional $Q$-curvature on the sphere and optimal partitions On the maximum principle for higher-order fractional Laplacians
Reference 1
- Resolution
- verified exact
- local_arxiv, observed 2026-08-16T11:04:02.109965Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation a931f70a-f2a0-468d-845b-e07a9f61306b · outbound
This paper cites Abreu, E.
Fractional $Q$-curvature on the sphere and optimal partitions Abreu, E
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:04:02.496712Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 089ea584-2a56-44b4-a3a7-04cb43c5a90b · outbound
This paper cites Angeles and A.
Fractional $Q$-curvature on the sphere and optimal partitions Angeles and A
Reference 3
- Resolution
- unresolved
- no resolver link, observed 2026-08-16T11:04:01.921005Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ff93f9be-e309-4cb9-bc83-c57408b22ccb · outbound
This paper cites Bucur, Some observations on the Green function for the ball in the fractional Laplace framework, Communications on Pure and Applied Analysis, 15 (2016), pp.
Fractional $Q$-curvature on the sphere and optimal partitions Bucur, Some observations on the Green function for the ball in the fractional Laplace framework, Communications on Pure and Applied Analysis, 15 (2016), pp
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:04:02.480621Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation a2850232-2711-4160-a18a-9860f9a89bb8 · outbound
This paper cites Caffarelli and L.
Fractional $Q$-curvature on the sphere and optimal partitions Caffarelli and L
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:04:02.471750Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation e26cc705-b093-4451-b348-99cd5e33e705 · outbound
This paper cites Caselli, E.
Fractional $Q$-curvature on the sphere and optimal partitions Caselli, E
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:04:02.463143Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation a1394635-249f-4dcf-9fb1-206a62c5fbab · outbound
This paper cites Local bifurcation diagrams and degenerate solutions of Yamabe-type equations.
Fractional $Q$-curvature on the sphere and optimal partitions Local bifurcation diagrams and degenerate solutions of Yamabe-type equations
Reference 7
- Resolution
- verified exact
- local_arxiv, observed 2026-08-16T11:04:02.096589Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation fcf74d6a-098d-4b06-8eb5-6465c538ca91 · outbound
This paper cites an unresolved cited work.
Fractional $Q$-curvature on the sphere and optimal partitions Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T11:04:02.454324Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation be4fead4-1a9e-43a6-bd9b-6eefd953a99d · outbound
This paper cites an unresolved cited work.
Fractional $Q$-curvature on the sphere and optimal partitions Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T11:04:02.445602Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 58ec74b2-c0ed-40e4-b482-fdca657c27f8 · outbound
This paper cites an unresolved cited work.
Fractional $Q$-curvature on the sphere and optimal partitions Unresolved cited work
Reference 10
- Resolution
- unresolved
- no resolver link, observed 2026-08-16T11:04:01.941924Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 055da5f6-c187-4151-86f3-4c9c823aa0a5 · outbound
This paper cites Clapp, J.
Fractional $Q$-curvature on the sphere and optimal partitions Clapp, J
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:04:02.431974Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation f7298752-48df-445a-b3a1-3fd4ef9cf22d · outbound
This paper cites Clapp, J.
Fractional $Q$-curvature on the sphere and optimal partitions Clapp, J
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:04:02.423386Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 164eaec1-3d25-402f-9640-58d002294ef4 · outbound
This paper cites Clapp and A.
Fractional $Q$-curvature on the sphere and optimal partitions Clapp and A
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:04:02.413882Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation f1d7c844-1d7e-47f1-9569-7010dc0d0acd · outbound
This paper cites Clapp, A.
Fractional $Q$-curvature on the sphere and optimal partitions Clapp, A
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:04:02.403979Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation f2deee35-c4e8-41ac-b94f-24bcd874150f · outbound
This paper cites Optimal pinwheel partitions and pinwheel solutions to a nonlinear Schr\"odinger system.
Fractional $Q$-curvature on the sphere and optimal partitions Optimal pinwheel partitions and pinwheel solutions to a nonlinear Schr\"odinger system
Reference 15
- Resolution
- verified exact
- local_arxiv, observed 2026-08-16T11:04:02.083441Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation b09e66fa-5e14-4e93-b3f3-8fcf85e0cb55 · outbound
This paper cites Clapp, A.
Fractional $Q$-curvature on the sphere and optimal partitions Clapp, A
Reference 16
- Resolution
- unresolved
- no resolver link, observed 2026-08-16T11:04:01.958000Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 04fdbb8c-597b-4fd5-9a60-d38b04cf096e · outbound
This paper cites Clapp and A.
Fractional $Q$-curvature on the sphere and optimal partitions Clapp and A
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:04:02.390067Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation f5c79a7e-a60a-4822-8ec8-d18b61e459e1 · outbound
This paper cites Conti, S.
Fractional $Q$-curvature on the sphere and optimal partitions Conti, S
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:04:02.381458Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation c1f62893-c2e2-47b0-aefa-df3402f2a398 · outbound
This paper cites del Mar Gonz ´alez, Recent Progress on the Fractional Laplacian in Conformal Geometry , De Gruyter Open Poland, Warsaw, Poland, 2017, pp.
Fractional $Q$-curvature on the sphere and optimal partitions del Mar Gonz ´alez, Recent Progress on the Fractional Laplacian in Conformal Geometry , De Gruyter Open Poland, Warsaw, Poland, 2017, pp
Reference 19
- Resolution
- unresolved
- no resolver link, observed 2026-08-16T11:04:01.965652Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d4babdce-397e-4dc7-bb28-45325fbcdb63 · outbound
This paper cites Ding, On a conformally invariant elliptic equation on Rn, Commun.
Fractional $Q$-curvature on the sphere and optimal partitions Ding, On a conformally invariant elliptic equation on Rn, Commun
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:04:02.367068Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 639cb624-a966-41cc-ac26-bd686fb8948e · outbound
This paper cites an unresolved cited work.
Fractional $Q$-curvature on the sphere and optimal partitions Unresolved cited work
Reference 21
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T11:04:02.357937Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 150fe9ab-b808-4cef-b363-9d9af685ae8c · outbound
This paper cites an unresolved cited work.
Fractional $Q$-curvature on the sphere and optimal partitions Unresolved cited work
Reference 22
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T11:04:02.349523Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 0bb338da-c12d-453f-8901-2c6af1af454d · outbound
This paper cites an unresolved cited work.
Fractional $Q$-curvature on the sphere and optimal partitions Unresolved cited work
Reference 23
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T11:04:02.340804Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 9308e79c-6d4b-43d6-911a-99dae8524f68 · outbound
This paper cites an unresolved cited work.
Fractional $Q$-curvature on the sphere and optimal partitions Unresolved cited work
Reference 24
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T11:04:02.331648Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation e781d71f-012e-4a76-a5f5-75b3d7bd51eb · outbound
This paper cites an unresolved cited work.
Fractional $Q$-curvature on the sphere and optimal partitions Unresolved cited work
Reference 25
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T11:04:02.322302Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 6afe5337-5ee1-4f1d-bf7a-d36b0d507732 · outbound
This paper cites an unresolved cited work.
Fractional $Q$-curvature on the sphere and optimal partitions Unresolved cited work
Reference 26
- Resolution
- unresolved
- no resolver link, observed 2026-08-16T11:04:01.986235Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation db5f7736-ce78-4a48-80a2-f5a655d0b7be · outbound
This paper cites Grisvard, Elliptic problems in nonsmooth domains , SIAM, 2011.
Fractional $Q$-curvature on the sphere and optimal partitions Grisvard, Elliptic problems in nonsmooth domains , SIAM, 2011
Reference 27
- Resolution
- unresolved
- no resolver link, observed 2026-08-16T11:04:01.989457Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation dc07a9aa-982c-444d-8630-dd53075aa249 · outbound
This paper cites Hebey and M.
Fractional $Q$-curvature on the sphere and optimal partitions Hebey and M
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:04:02.301863Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 0866df9a-aa4e-4882-bfea-4dd32a83a317 · outbound
This paper cites Henry and J.
Fractional $Q$-curvature on the sphere and optimal partitions Henry and J
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:04:02.293636Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 652e8041-1c26-4976-97ba-8a6ef7ad517b · outbound
This paper cites Hern´andez-Santamar´ıa and A.
Fractional $Q$-curvature on the sphere and optimal partitions Hern´andez-Santamar´ıa and A
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:04:02.284943Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 0b72f3e6-f7d9-4b09-8eee-3f649b7ee5e4 · outbound
This paper cites Hern´andez Santamar´ıa and A.
Fractional $Q$-curvature on the sphere and optimal partitions Hern´andez Santamar´ıa and A
Reference 31
- Resolution
- unresolved
- no resolver link, observed 2026-08-16T11:04:02.002454Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7359bc07-14a5-4373-9947-9251982ffa06 · outbound
This paper cites Hora and A.
Fractional $Q$-curvature on the sphere and optimal partitions Hora and A
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:04:02.269602Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation e211a27c-6510-4870-968f-fa52cb3e5050 · outbound
This paper cites Jarohs, A.
Fractional $Q$-curvature on the sphere and optimal partitions Jarohs, A
Reference 33
- Resolution
- unresolved
- no resolver link, observed 2026-08-16T11:04:02.007744Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation cd29ec00-b773-4228-b06f-2018bc0b77a1 · outbound
This paper cites an unresolved cited work.
Fractional $Q$-curvature on the sphere and optimal partitions Unresolved cited work
Reference 34
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T11:04:02.254438Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 2607b6de-b294-4b2e-8ff3-7c16c9e8ac51 · outbound
This paper cites Lang, Differential and Riemannian manifolds , vol.
Fractional $Q$-curvature on the sphere and optimal partitions Lang, Differential and Riemannian manifolds , vol
Reference 35
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:04:02.246760Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 2b9ad039-fa97-441c-9820-0e0a2d778745 · outbound
This paper cites an unresolved cited work.
Fractional $Q$-curvature on the sphere and optimal partitions Unresolved cited work
Reference 36
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T11:04:02.238194Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation fcc47b64-fbf4-44c7-868e-502fe2e6f037 · outbound
This paper cites an unresolved cited work.
Fractional $Q$-curvature on the sphere and optimal partitions Unresolved cited work
Reference 37
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T11:04:02.229471Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 1eca46d6-337c-47ef-84be-9830a25045c0 · outbound
This paper cites an unresolved cited work.
Fractional $Q$-curvature on the sphere and optimal partitions Unresolved cited work
Reference 38
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T11:04:02.220478Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation cdf1e120-bce2-4560-8bdc-4466c8ca2ae3 · outbound
This paper cites Ritorto, Optimal partition problems for the fractional Laplacian , Annali di Matematica Pura ed Applicata (1923-), 197 (2018), pp.
Fractional $Q$-curvature on the sphere and optimal partitions Ritorto, Optimal partition problems for the fractional Laplacian , Annali di Matematica Pura ed Applicata (1923-), 197 (2018), pp
Reference 39
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:04:02.212635Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 1d3aba6d-6f34-4ec3-88fe-acdb29a94fb7 · outbound
This paper cites Rudin, Functional Analysis, McGraw-Hill, Inc., 1991.
Fractional $Q$-curvature on the sphere and optimal partitions Rudin, Functional Analysis, McGraw-Hill, Inc., 1991
Reference 40
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:04:02.204486Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation fda374eb-93d1-4615-98bb-5cc3a1a6dd34 · outbound
This paper cites an unresolved cited work.
Fractional $Q$-curvature on the sphere and optimal partitions Unresolved cited work
Reference 41
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T11:04:02.196584Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 7df68fc9-e214-4511-935a-064ccf592a98 · outbound
This paper cites Struwe, Variational methods, vol.
Fractional $Q$-curvature on the sphere and optimal partitions Struwe, Variational methods, vol
Reference 42
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:04:02.188579Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 240b6820-fc80-45d5-bd86-62781c766903 · outbound
This paper cites Szego, Orthogonal Polynomials, vol.
Fractional $Q$-curvature on the sphere and optimal partitions Szego, Orthogonal Polynomials, vol
Reference 43
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:04:02.180728Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 11b4dea9-83f4-4b83-a068-f1c93310d1ea · outbound
This paper cites Tavares, Topics in elliptic problems: from semilinear equations to shape optimization , Communications in Math- ematics, 32 (2024).
Fractional $Q$-curvature on the sphere and optimal partitions Tavares, Topics in elliptic problems: from semilinear equations to shape optimization , Communications in Math- ematics, 32 (2024)
Reference 44
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:04:02.172344Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 514bb5f9-8650-41a9-8f4d-57a1ae126615 · outbound
This paper cites an unresolved cited work.
Fractional $Q$-curvature on the sphere and optimal partitions Unresolved cited work
Reference 45
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T11:04:02.164207Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 7fce05cf-bdaa-4b93-9907-dab742c649bf · outbound
This paper cites Terracini, G.
Fractional $Q$-curvature on the sphere and optimal partitions Terracini, G
Reference 46
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:04:02.155582Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 1c1c535a-3e05-4fee-ba06-2f24c6a3a712 · outbound
This paper cites Tortone and A.
Fractional $Q$-curvature on the sphere and optimal partitions Tortone and A
Reference 47
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:04:02.146448Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 38da7d41-4ed8-4a75-8110-3139d3728794 · outbound
This paper cites Willem , Minimax theorems, vol.
Fractional $Q$-curvature on the sphere and optimal partitions Willem , Minimax theorems, vol
Reference 48
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:04:02.137006Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 7268b5d4-b4a3-48a8-99fb-d24083b101b6 · outbound
This paper cites Witten, Anti de Sitter space and holography , Adv.
Fractional $Q$-curvature on the sphere and optimal partitions Witten, Anti de Sitter space and holography , Adv
Reference 49
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:04:02.127594Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 0433a9f9-d4d5-48f8-a19e-fc7a7db3f065 · outbound
This paper cites Zilio, Optimal regularity results related to a partition problem involving the half-Laplacian , New Trends in Shape Optimization, (2015), pp.
Fractional $Q$-curvature on the sphere and optimal partitions Zilio, Optimal regularity results related to a partition problem involving the half-Laplacian , New Trends in Shape Optimization, (2015), pp
Reference 50
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:04:02.119307Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Pith citing papers
Observation f25f4e8a-eb6a-453b-be57-dd1b034bb163 · inbound
The conformal logarithmic Laplacian on the sphere: Yamabe-type problems and Sobolev spaces cites this paper.
The conformal logarithmic Laplacian on the sphere: Yamabe-type problems and Sobolev spaces Fractional $Q$-curvature on the sphere and optimal partitions
Reference 9
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T12:34:41.913019Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.