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Paper Citation Record · LEDGER

Large number of bubble solutions for a perturbed fractional Laplacian equation

As of 16 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 0 inbound Pith citation observations for arXiv:1908.03386.

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

pith.paper-citation-record.v1
1908.03386 v1

Coverage vector

measured 37 of 37 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:27:56.004564Z

measured 37 of 37 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

37 of 37 outbound references displayed

  • verified exact1
  • verified fuzzy18
  • unresolved18
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e8c0b8bc-8032-4874-a093-9178698dfe13 · outbound

This paper cites Applebaum, Levy processes and stochastic calculus, Second edition, Cambridge Studies in Advanced Matematics, 116, Cambridge University Press, Cambridge, 2009.

Large number of bubble solutions for a perturbed fractional Laplacian equation Applebaum, Levy processes and stochastic calculus, Second edition, Cambridge Studies in Advanced Matematics, 116, Cambridge University Press, Cambridge, 2009

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:27:56.667359Z

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.

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Observation c5e51330-697a-45b7-a339-fa8a26749599 · outbound

This paper cites Barrios, E.

Large number of bubble solutions for a perturbed fractional Laplacian equation Barrios, E

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:27:56.651830Z

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.

source=pdf_text observed=2026-08-14T14:27:55.825972Z digest=sha256:7926386ebf4d685e1b5404f63384e7c3c34465dac4e7b0584d2f63e3876ca42f

Observation a09e051f-5f22-407f-8114-007a7dda18bb · outbound

This paper cites Br¨ andle, E.

Large number of bubble solutions for a perturbed fractional Laplacian equation Br¨ andle, E

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:27:56.636574Z

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.

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Observation d1a2bad7-3cd3-40a9-a4fd-0f92813cb6cd · outbound

This paper cites Barrios, E.

Large number of bubble solutions for a perturbed fractional Laplacian equation Barrios, E

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:27:56.620940Z

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.

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Observation bb5992ab-4fa2-448a-9a84-7cc332cbb83e · outbound

This paper cites Brezis, Y.Y.

Large number of bubble solutions for a perturbed fractional Laplacian equation Brezis, Y.Y

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:27:56.604956Z

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.

source=pdf_text observed=2026-08-14T14:27:55.842514Z digest=sha256:e2b0a8eee23be1072a94889bd85868c2f9f3f87f0d6057df17398e43dab2272c

Observation 78bead59-cc30-4368-971f-d83f81ee9ba0 · outbound

This paper cites Cabr´ e, J.

Large number of bubble solutions for a perturbed fractional Laplacian equation Cabr´ e, J

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:27:56.588689Z

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.

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Observation 1f6a4b11-ca8d-4866-80ac-5b79c61446f4 · outbound

This paper cites Caffarelli, L.

Large number of bubble solutions for a perturbed fractional Laplacian equation Caffarelli, L

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:27:56.573703Z

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.

source=pdf_text observed=2026-08-14T14:27:55.852774Z digest=sha256:54ea828ce5bebadf7dc06ee7efbd31e91fc41580bb8a1bb59bb383a27361dab8

Observation 05bff908-a422-4e1f-9092-c6e80dd50190 · outbound

This paper cites an unresolved cited work.

Large number of bubble solutions for a perturbed fractional Laplacian equation Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:27:56.557595Z

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.

source=pdf_text observed=2026-08-14T14:27:55.858349Z digest=sha256:8c8db70659bd25804eca41a5c2e69c1ea6cbda0efcabea712abeabe28bd953d7

Observation a9ec0c3b-374a-4029-bcd4-a79a81ffa849 · outbound

This paper cites an unresolved cited work.

Large number of bubble solutions for a perturbed fractional Laplacian equation Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:27:56.541744Z

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.

source=pdf_text observed=2026-08-14T14:27:55.863131Z digest=sha256:8d69e0964857650020ae7158d475f939ae3857796c907c475d20537be6021f45

Observation 182f7980-69af-4544-af30-73bbc6e0ae9e · outbound

This paper cites del Pino, P.

Large number of bubble solutions for a perturbed fractional Laplacian equation del Pino, P

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:27:56.526619Z

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.

source=pdf_text observed=2026-08-14T14:27:55.867920Z digest=sha256:77a61813ec74ace0bbdff4cf7a37cf203c6f6e3fe4f3a32e90642442803737c6

Observation f827a530-a18a-4b36-9e79-00580037d447 · outbound

This paper cites Deng, C.-S.

Large number of bubble solutions for a perturbed fractional Laplacian equation Deng, C.-S

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:27:56.511687Z

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.

source=pdf_text observed=2026-08-14T14:27:55.873883Z digest=sha256:324a42b79ded3641ae3982394ce7f827d5e6a178d86e2c21357b46649f15768a

Observation 2099129d-b340-46e9-a900-e17533b52eb3 · outbound

This paper cites Di Nezzaa, G.

Large number of bubble solutions for a perturbed fractional Laplacian equation Di Nezzaa, G

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:27:56.496006Z

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.

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Observation c45215c3-8be6-48c4-a343-8c15d0b01dd4 · outbound

This paper cites Felmer, A.

Large number of bubble solutions for a perturbed fractional Laplacian equation Felmer, A

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:27:56.478392Z

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.

source=pdf_text observed=2026-08-14T14:27:55.884178Z digest=sha256:762ec808bbb4bea0d9db9e27902fee6f95b7f9fe0a8131e38812a4e4c288c808

Observation 15254493-086c-47c3-9bff-34a0dfa636ca · outbound

This paper cites an unresolved cited work.

Large number of bubble solutions for a perturbed fractional Laplacian equation Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:27:56.461763Z

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.

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Observation f71c6569-c5a5-4052-b336-ffb2e70ceda0 · outbound

This paper cites an unresolved cited work.

Large number of bubble solutions for a perturbed fractional Laplacian equation Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:27:56.445984Z

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.

source=pdf_text observed=2026-08-14T14:27:55.893807Z digest=sha256:83d4405c3d2e39d8b5dad9da23938878b498d610177b73ade391c7cb0e620d55

Observation 8bdf2096-68c2-48e1-a7cd-8f1d9703f214 · outbound

This paper cites Solutions for fractional operator problem via local Pohozaev identities.

Large number of bubble solutions for a perturbed fractional Laplacian equation Solutions for fractional operator problem via local Pohozaev identities

Reference 16

Resolution
verified exact
local_arxiv, observed 2026-08-14T14:27:56.054196Z

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.

source=pdf_text observed=2026-08-14T14:27:55.898964Z digest=sha256:2b1116ae3c00a6f2df27ff10dc1983e5a406aec3a6c4185f6d3e2067062084f0

Observation 2a38171d-cf16-4404-b23c-f1a5000e8b1e · outbound

This paper cites an unresolved cited work.

Large number of bubble solutions for a perturbed fractional Laplacian equation Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:27:56.429657Z

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.

source=pdf_text observed=2026-08-14T14:27:55.904230Z digest=sha256:871bb60c65817e726245fec0c7425ee7edaaee93ca7f63db5b4764c08da02841

Observation 73e65b6d-d538-40b2-b462-03686d6253c1 · outbound

This paper cites Jin, Y.Y.

Large number of bubble solutions for a perturbed fractional Laplacian equation Jin, Y.Y

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:27:56.413500Z

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.

source=pdf_text observed=2026-08-14T14:27:55.908910Z digest=sha256:69e4e6754ee3ebfb5551950f60f956e1e4e815c97907e1f1b05e1deb82308fa8

Observation 5d04d3ee-4a42-44ad-b146-6725967176d2 · outbound

This paper cites an unresolved cited work.

Large number of bubble solutions for a perturbed fractional Laplacian equation Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:27:56.397277Z

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.

source=pdf_text observed=2026-08-14T14:27:55.913259Z digest=sha256:302b49b01e77eae9450b314f5008159a6b5ebf0ae6176979e4dedb853fa4a849

Observation 027306aa-69c0-4ac5-9e0d-e4d7087d26aa · outbound

This paper cites Lin, W.-M.

Large number of bubble solutions for a perturbed fractional Laplacian equation Lin, W.-M

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:27:56.380691Z

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.

source=pdf_text observed=2026-08-14T14:27:55.918338Z digest=sha256:2d5e7f833e4cbb8a031db5072fd839759242b97083f4b6a9e495d56c00325d4e

Observation 698da39a-2858-4df0-93ec-9f4ffb4389b4 · outbound

This paper cites Liu, Large number of bubble solutions for the equation ∆ u + K(y)u N +2 N − 2 ±ǫ = 0 on RN.

Large number of bubble solutions for a perturbed fractional Laplacian equation Liu, Large number of bubble solutions for the equation ∆ u + K(y)u N +2 N − 2 ±ǫ = 0 on RN

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:27:56.365111Z

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.

source=pdf_text observed=2026-08-14T14:27:55.923781Z digest=sha256:e1caee0f24642aaaa282f6fc4913d5a9dea0184b651c2b7f848bdd2e9ae48cfe

Observation 7417335c-2d63-47c8-ac63-40a7900c38b1 · outbound

This paper cites an unresolved cited work.

Large number of bubble solutions for a perturbed fractional Laplacian equation Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:27:56.349255Z

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.

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Observation 3b101d1c-ea04-4eeb-8382-ae070c6877da · outbound

This paper cites Rey, The role of the Green’s function in a nonlinear elliptic proble m involving the critical Sobolev exponent.

Large number of bubble solutions for a perturbed fractional Laplacian equation Rey, The role of the Green’s function in a nonlinear elliptic proble m involving the critical Sobolev exponent

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:27:56.333416Z

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.

source=pdf_text observed=2026-08-14T14:27:55.934148Z digest=sha256:af4a5055cb586f93a604a4292ba44d8d7830d37964acd1b64d87315fdd896a14

Observation 6a33e174-3f01-40e2-b3e5-9e6fc3ae3f68 · outbound

This paper cites Rey, Boundary effect for an elliptic neumann problem with critic al nonlinearity, Commun.

Large number of bubble solutions for a perturbed fractional Laplacian equation Rey, Boundary effect for an elliptic neumann problem with critic al nonlinearity, Commun

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:27:56.317104Z

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.

source=pdf_text observed=2026-08-14T14:27:55.938987Z digest=sha256:5b0afdad63064a9b626cc04dc717cc36ff6425a1045ab6c98658efcbae4f6c5c

Observation 4e88c5aa-bb65-4c3d-87e6-5acbf856c532 · outbound

This paper cites Tan, The Brezis-Nirenberg type problem involving the square root of the Laplacian.

Large number of bubble solutions for a perturbed fractional Laplacian equation Tan, The Brezis-Nirenberg type problem involving the square root of the Laplacian

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:27:56.298899Z

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.

source=pdf_text observed=2026-08-14T14:27:55.943974Z digest=sha256:dff846e01799586d7f19a5a25bf1d3ff4bea5d08d13ccd6dd5c5e201cb1c0514

Observation f4888427-1d53-4159-9fe9-97db50a373a1 · outbound

This paper cites an unresolved cited work.

Large number of bubble solutions for a perturbed fractional Laplacian equation Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:27:56.276640Z

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.

source=pdf_text observed=2026-08-14T14:27:55.949222Z digest=sha256:7f3e18d888e941ca0ce59242e90feb2c77dd9f68f97c6d04a764bc08679ae77b

Observation 7c2a9773-882e-4535-9dbb-43879050439e · outbound

This paper cites an unresolved cited work.

Large number of bubble solutions for a perturbed fractional Laplacian equation Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:27:56.258499Z

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.

source=pdf_text observed=2026-08-14T14:27:55.953984Z digest=sha256:d8ecae665ac94df2c2dbbf4dbd2a241cdb84f4044e4b41d7d2e9f32576c5a9fe

Observation 273503b7-4bda-4580-877f-a12ab11cc30c · outbound

This paper cites an unresolved cited work.

Large number of bubble solutions for a perturbed fractional Laplacian equation Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:27:56.232259Z

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.

source=pdf_text observed=2026-08-14T14:27:55.959882Z digest=sha256:eab4f160e6c3410beab32e4a0620a43b280338cb90487e0d44aa4a8c9f8d2e46

Observation 4ec43147-7723-482c-a86b-26512eca12c4 · outbound

This paper cites V´ atois, S.

Large number of bubble solutions for a perturbed fractional Laplacian equation V´ atois, S

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:27:56.215508Z

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.

source=pdf_text observed=2026-08-14T14:27:55.964601Z digest=sha256:005e3a768fb9eb6af9ba7c06fcbcec49d69fe8e489b112036cff6100210d74a7

Observation 34b1f077-8f8d-43f7-b58b-6341ace3dba0 · outbound

This paper cites an unresolved cited work.

Large number of bubble solutions for a perturbed fractional Laplacian equation Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:27:56.197559Z

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.

source=pdf_text observed=2026-08-14T14:27:55.969427Z digest=sha256:97bd0fca76342424bab2e17e66e889da3fd638a679d25ccabd55b554634959eb

Observation 11e00f50-2c32-46a4-a72d-9de6f0f1d013 · outbound

This paper cites an unresolved cited work.

Large number of bubble solutions for a perturbed fractional Laplacian equation Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:27:56.178516Z

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.

source=pdf_text observed=2026-08-14T14:27:55.974416Z digest=sha256:ba4534709b7652cb742780dad56ec0f256fd5d31def7bfb6585e545f331d4c52

Observation 8454a46c-8e48-447b-9633-2dfde50c8e13 · outbound

This paper cites an unresolved cited work.

Large number of bubble solutions for a perturbed fractional Laplacian equation Unresolved cited work

Reference 32

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:27:56.161951Z

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.

source=pdf_text observed=2026-08-14T14:27:55.979521Z digest=sha256:8d9be3ff479dd1084484eddc448accb9aa9b945ba72a3e1e9f0263a12619d474

Observation a4895bb5-683c-4015-af06-9cc0aae4d7b3 · outbound

This paper cites an unresolved cited work.

Large number of bubble solutions for a perturbed fractional Laplacian equation Unresolved cited work

Reference 33

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:27:56.144238Z

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.

source=pdf_text observed=2026-08-14T14:27:55.984282Z digest=sha256:3a98059a2aa0f97d6640a12529add8bfa311d7771b6f992ed65365bf9e15c052

Observation c2f508b5-4972-4906-9f49-0ca443abc352 · outbound

This paper cites an unresolved cited work.

Large number of bubble solutions for a perturbed fractional Laplacian equation Unresolved cited work

Reference 34

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:27:56.126758Z

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.

source=pdf_text observed=2026-08-14T14:27:55.989115Z digest=sha256:9db2c34b2133cb65fbf3caedc9aa2a75055f3fdfaa2b64672281b3e70cc326f1

Observation ff495ce6-bffe-4177-86f5-23c6a168727f · outbound

This paper cites an unresolved cited work.

Large number of bubble solutions for a perturbed fractional Laplacian equation Unresolved cited work

Reference 35

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:27:56.108845Z

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.

source=pdf_text observed=2026-08-14T14:27:55.994021Z digest=sha256:e707ce830489683a1f1856de2c5f3fb8e7575a065e75c8de286dc34f886d6793

Observation 21ab40fa-4c6e-4588-84eb-697562b565e9 · outbound

This paper cites an unresolved cited work.

Large number of bubble solutions for a perturbed fractional Laplacian equation Unresolved cited work

Reference 36

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:27:56.089339Z

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.

source=pdf_text observed=2026-08-14T14:27:55.999565Z digest=sha256:6035286f41792af7d34b4ded44c4cae3a42785e5a013d699b6a67c452e3f0136

Observation fd949722-08b9-40e4-8dcb-882924c6b7a5 · outbound

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Large number of bubble solutions for a perturbed fractional Laplacian equation Unresolved cited work

Reference 37

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raw_fallback, observed 2026-08-14T14:27:56.072340Z

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source=pdf_text observed=2026-08-14T14:27:56.004564Z digest=sha256:88c33de71f04ba990cee68e1cb2b41787eca73eed86fed25c7c3ed34d816f8cd

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