Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T14:11:10.163214Z
Paper Citation Record · LEDGER
As of 16 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 0 inbound Pith citation observations for arXiv:1908.03993.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T14:11:10.163214Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
33 of 33 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 9451530e-8b51-4b9a-a52c-6d4ec1bc5ab6 · outbound
Existence and convergence of solutions for nonlinear biharmonic equations on graphs Abrahams, A.M
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation a73da688-6647-4072-84ce-57ab9fd2aee0 · outbound
Existence and convergence of solutions for nonlinear biharmonic equations on graphs Alves, M.A.S
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation d5cf1fba-2db7-4eb3-87df-05c8c64bedf1 · outbound
Existence and convergence of solutions for nonlinear biharmonic equations on graphs Arnaboldi, A
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation e5a8c360-33d1-486a-b7e6-53ebba813455 · outbound
Existence and convergence of solutions for nonlinear biharmonic equations on graphs Bartsch, Z.Q
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation e6a3ba3a-01e3-47c0-bbf2-510251be6131 · outbound
Existence and convergence of solutions for nonlinear biharmonic equations on graphs Unresolved cited work
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 16419997-64b1-4b37-80b1-509916a7d576 · outbound
Existence and convergence of solutions for nonlinear biharmonic equations on graphs Br´ ezis, L
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation f562cb41-bf46-427f-9942-51ddecaba94a · outbound
Existence and convergence of solutions for nonlinear biharmonic equations on graphs Cao, Nontrivial solution of semilinear equations with critical ex ponent in R2, Commun
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation ce0f13ec-a1c3-4076-8cbb-d50c2c4c7e92 · outbound
Existence and convergence of solutions for nonlinear biharmonic equations on graphs Unresolved cited work
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 9a0dd9f8-4715-46b5-a736-b3be9a476507 · outbound
Existence and convergence of solutions for nonlinear biharmonic equations on graphs Unresolved cited work
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 615a6c2f-f0eb-4678-91de-601131d4cb4e · outbound
Existence and convergence of solutions for nonlinear biharmonic equations on graphs Grigor’yan, Y
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 92a75003-025a-425f-b992-a05fc22ebafb · outbound
Existence and convergence of solutions for nonlinear biharmonic equations on graphs Grigor’yan, Y
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 59d837a1-6200-4d19-bd50-a701de15459b · outbound
Existence and convergence of solutions for nonlinear biharmonic equations on graphs Grigor’yan, Y
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 9574c341-26af-45cf-8015-9c5fa076c0b6 · outbound
Existence and convergence of solutions for nonlinear biharmonic equations on graphs Unresolved cited work
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation cb1bf5bf-7b22-4489-a52b-3633f5451400 · outbound
Existence and convergence of solutions for nonlinear biharmonic equations on graphs Unresolved cited work
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 0da60ce5-fd68-4e3d-a185-6085a274958c · outbound
Existence and convergence of solutions for nonlinear biharmonic equations on graphs Unresolved cited work
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation eab4e803-5148-4686-9cb4-3bf264630dc0 · outbound
Existence and convergence of solutions for nonlinear biharmonic equations on graphs Huang, On uniqueness class for a heat equation on graphs, J
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 691a66f7-f302-4373-90ce-6fcfb7ee953a · outbound
Existence and convergence of solutions for nonlinear biharmonic equations on graphs Huang, M
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation a6440e85-0241-42ce-b2d3-80cf36ba925a · outbound
Existence and convergence of solutions for nonlinear biharmonic equations on graphs Keller, M
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation e530f135-efc5-4af2-b32f-01b300b018ba · outbound
Existence and convergence of solutions for nonlinear biharmonic equations on graphs Lezoray, L
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 60686cff-0e47-4bf6-8e2b-23ec757b6d5b · outbound
Existence and convergence of solutions for nonlinear biharmonic equations on graphs Lin, Y.T
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 2b2bc51b-fac6-46eb-ad49-c772d2113b63 · outbound
Existence and convergence of solutions for nonlinear biharmonic equations on graphs Liu, H.B
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 5fd70685-101e-4dca-9e54-74108bccd92d · outbound
Existence and convergence of solutions for nonlinear biharmonic equations on graphs Liu, K.W
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation b999704f-eb3b-4a01-88ec-4b5476401635 · outbound
Existence and convergence of solutions for nonlinear biharmonic equations on graphs McKenna, W
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 2f9cf7f7-d207-4e79-83ba-14cb7fd6cae4 · outbound
Existence and convergence of solutions for nonlinear biharmonic equations on graphs Niu, Z.W
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 8c4ce47d-52f7-49dd-9b43-2f21b787ac69 · outbound
Existence and convergence of solutions for nonlinear biharmonic equations on graphs Rabinowitz, On a class of nonlinear Schr¨ odinger equations, Z
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 42e7514e-16ed-48e0-98f7-4990f45afc5d · outbound
Existence and convergence of solutions for nonlinear biharmonic equations on graphs Sani, A biharmonic equation in R4 involving nonlinearities with critical exponential growth, Commun
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 5b7f3091-f3fd-4dd4-9386-bc32120d6d30 · outbound
Existence and convergence of solutions for nonlinear biharmonic equations on graphs Wang, Y.T
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 044874d7-31a3-41ab-810e-442d9df8963d · outbound
Existence and convergence of solutions for nonlinear biharmonic equations on graphs Wang, H.S
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 864ccf8b-fa5d-4bc4-81fc-157c7a5ebf14 · outbound
Existence and convergence of solutions for nonlinear biharmonic equations on graphs Wojciechowski, Heat kernel and essential spectrum of infi nite graphs, Indiana Univ
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 3095b70a-3765-4b4a-bdf3-16c525584c80 · outbound
Existence and convergence of solutions for nonlinear biharmonic equations on graphs Yang, Existence of positive solutions to quasi-linear elliptic eq uations with exponential growth in the whole Euclidean space, J
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 4e8c9835-2635-4686-b799-ca6c4dc6b47b · outbound
Existence and convergence of solutions for nonlinear biharmonic equations on graphs Zhang, L
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation f3d08e5d-0cf8-447d-a21b-6b66f0ce30c0 · outbound
Existence and convergence of solutions for nonlinear biharmonic equations on graphs Zhang, Z.L
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 877d2c8c-0e18-4168-b0fd-9f92c7eae9cf · outbound
Existence and convergence of solutions for nonlinear biharmonic equations on graphs Unresolved cited work
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
No inbound Pith citation observations are available.