Paper Citation Record · LEDGER

Logarithmic Laplacian on General Riemannian Manifolds

As of 22 August 2026, this Paper Citation Record lists 46 of 46 outbound references and 6 inbound Pith citation observations for arXiv:2506.19311.

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pith.paper-citation-record.v1
2506.19311 v1

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measured 46 of 46 reference resolution

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measured 6 of 6 inbound itemization

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Source: arxiv_reference, observed 2026-07-04T06:49:38.177145Z

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46 of 46 outbound references displayed

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Outbound references

Observation 2f97c603-0ca3-4ac2-964a-32aa420e1e01 · outbound

This paper cites An extension problem related to the fractional laplacian.

Logarithmic Laplacian on General Riemannian Manifolds An extension problem related to the fractional laplacian

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-06T23:14:09.273915Z

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Observation 7b743211-a447-4c04-ab75-549df4a328f5 · outbound

This paper cites The dirichlet problem for the fractional lapla- cian: regularity up to the boundary.

Logarithmic Laplacian on General Riemannian Manifolds The dirichlet problem for the fractional lapla- cian: regularity up to the boundary

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-06T23:14:09.394730Z

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Observation eaa7d435-f5d3-427c-9495-2408b36d3d46 · outbound

This paper cites The dirichlet problem for the logarithmic laplacian.

Logarithmic Laplacian on General Riemannian Manifolds The dirichlet problem for the logarithmic laplacian

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-06T23:14:09.569817Z

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Observation 3ba568a4-e7b2-4bb4-be57-9a8c5f5c6fa4 · outbound

This paper cites Maximum principles for laplacian and fractional laplacian with critical integrability.

Logarithmic Laplacian on General Riemannian Manifolds Maximum principles for laplacian and fractional laplacian with critical integrability

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:14:28.094512Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 4c1de35e-cccf-4f5e-89c5-bfde53fa2d27 · outbound

This paper cites Small order asymptotics of the dirichlet eigenvalue problem for the fractional laplacian.

Logarithmic Laplacian on General Riemannian Manifolds Small order asymptotics of the dirichlet eigenvalue problem for the fractional laplacian

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-06T23:14:09.845109Z

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Observation f845d72a-8760-45a2-a23a-5cd67a619dfd · outbound

This paper cites Spectral properties of the logarithmic laplacian.Analysis and Mathematical Physics, 11:1–24, 2021.

Logarithmic Laplacian on General Riemannian Manifolds Spectral properties of the logarithmic laplacian.Analysis and Mathematical Physics, 11:1–24, 2021

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-06T23:14:09.981703Z

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Observation a1171cc7-085e-415e-9037-583e5fbab814 · outbound

This paper cites A fractional yamabe flow and some applications.

Logarithmic Laplacian on General Riemannian Manifolds A fractional yamabe flow and some applications

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:14:27.594282Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 0ea1f0b6-33db-4ff1-a279-5735708aa123 · outbound

This paper cites L´evy processes and stochastic calculus.

Logarithmic Laplacian on General Riemannian Manifolds L´evy processes and stochastic calculus

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:14:27.220545Z

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Observation 35fd4865-3481-40a3-8e36-78b6981b2ce5 · outbound

This paper cites Anisotropic fractional perimeters.

Logarithmic Laplacian on General Riemannian Manifolds Anisotropic fractional perimeters

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:14:26.795973Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 29001eaf-e1b9-4e45-9f56-d9c042e39b03 · outbound

This paper cites Existence of the least energy sign-changing solutions for fractional brezis-nirenberg problem.Advances in Differential Equations, 30(1/2):69–92, 2025.

Logarithmic Laplacian on General Riemannian Manifolds Existence of the least energy sign-changing solutions for fractional brezis-nirenberg problem.Advances in Differential Equations, 30(1/2):69–92, 2025

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:14:26.401471Z

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Observation 900aad56-1fab-4c23-bec9-71685175b9d2 · outbound

This paper cites The brezis-nirenberg result for the fractional laplacian.

Logarithmic Laplacian on General Riemannian Manifolds The brezis-nirenberg result for the fractional laplacian

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:14:26.051583Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 6c470f2b-a3a9-4830-a12b-4b37edb9531f · outbound

This paper cites Nonlocal curvature flows.

Logarithmic Laplacian on General Riemannian Manifolds Nonlocal curvature flows

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:14:25.724880Z

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Observation 37d994d1-7f37-41ba-b8b2-cc483de9be61 · outbound

This paper cites Ten equivalent definitions of the fractional laplace operator.

Logarithmic Laplacian on General Riemannian Manifolds Ten equivalent definitions of the fractional laplace operator

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-06T23:14:11.304892Z

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Observation a5a2794d-deeb-40a7-a7b8-7355abc46404 · outbound

This paper cites The maximum principles for fractional laplacian equations and their applications.

Logarithmic Laplacian on General Riemannian Manifolds The maximum principles for fractional laplacian equations and their applications

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:14:25.351216Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation c412435c-155f-4f14-a1ab-341374e5f7d5 · outbound

This paper cites The Neumann problem for the fractional Laplacian: regularity up to the boundary.

Logarithmic Laplacian on General Riemannian Manifolds The Neumann problem for the fractional Laplacian: regularity up to the boundary

Reference 15

Resolution: verified exact; local_arxiv, observed 2026-08-06T23:14:17.794528Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation ab7eb230-c3c9-4339-a051-f9946b44295b · outbound

This paper cites The eigenvalue problem for the regional fractional laplacian in the small order limit.Potential Analysis, 60(1):285–306, 2024.

Logarithmic Laplacian on General Riemannian Manifolds The eigenvalue problem for the regional fractional laplacian in the small order limit.Potential Analysis, 60(1):285–306, 2024

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:14:25.109770Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation a1728fe1-635b-422a-8de3-1ee92c0daf17 · outbound

This paper cites An extension problem for the logarithmic Laplacian.

Logarithmic Laplacian on General Riemannian Manifolds An extension problem for the logarithmic Laplacian

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-06T23:14:11.885782Z

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Observation ad615647-8843-4a45-80b1-2b3dabd83cca · outbound

This paper cites Optimal boundary regularity and a Hopf-type lemma for Dirichlet problems involving the logarithmic Laplacian.

Logarithmic Laplacian on General Riemannian Manifolds Optimal boundary regularity and a Hopf-type lemma for Dirichlet problems involving the logarithmic Laplacian

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-06T23:14:12.070416Z

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Observation 6e521499-be4b-40ae-a05f-fff5ce7e7d26 · outbound

This paper cites The cauchy problem associated to the logarithmic laplacian with an application to the fundamental solution.

Logarithmic Laplacian on General Riemannian Manifolds The cauchy problem associated to the logarithmic laplacian with an application to the fundamental solution

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-06T23:14:12.222638Z

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Observation cc17e4aa-a912-4db5-99ef-b48332cc993d · outbound

This paper cites Bounds for eigenvalues of the dirichlet problem for the logarithmic laplacian.

Logarithmic Laplacian on General Riemannian Manifolds Bounds for eigenvalues of the dirichlet problem for the logarithmic laplacian

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-06T23:14:12.390660Z

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Observation 9148d88c-7da5-4351-9fea-0a7029a9323b · outbound

This paper cites Some constructions for the fractional laplacian on noncompact manifolds.

Logarithmic Laplacian on General Riemannian Manifolds Some constructions for the fractional laplacian on noncompact manifolds

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-06T23:14:12.549997Z

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Observation 4e4b7495-b401-4c63-85dc-a5f2341b0766 · outbound

This paper cites Asymptotics as $s \to 0^+$ of the fractional perimeter on Riemannian manifolds.

Logarithmic Laplacian on General Riemannian Manifolds Asymptotics as $s \to 0^+$ of the fractional perimeter on Riemannian manifolds

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-06T23:14:12.805308Z

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Observation 950c9bf8-7bdc-4b9f-b4dd-2d40ec61ff80 · outbound

This paper cites Integral representa- tion for fractional laplace–beltrami operators.

Logarithmic Laplacian on General Riemannian Manifolds Integral representa- tion for fractional laplace–beltrami operators

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-06T23:14:12.934753Z

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Observation f1161fbf-8130-4e5a-aa0d-0971b49d1c67 · outbound

This paper cites Fractional cauchy problems on compact manifolds.

Logarithmic Laplacian on General Riemannian Manifolds Fractional cauchy problems on compact manifolds

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-06T23:14:13.043190Z

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Observation 98d4e85c-e20e-43dd-b778-a53e5270cf44 · outbound

This paper cites Fractional calder ´on problem on a closed riemannian manifold.

Logarithmic Laplacian on General Riemannian Manifolds Fractional calder ´on problem on a closed riemannian manifold

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-06T23:14:13.119565Z

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Observation 52401557-1304-4300-8827-3d6f0a8bbb11 · outbound

This paper cites An inverse problem for the space-time fractional Schr\"odinger equation on closed manifolds.

Logarithmic Laplacian on General Riemannian Manifolds An inverse problem for the space-time fractional Schr\"odinger equation on closed manifolds

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-06T23:14:13.244322Z

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Observation f707c485-9df5-499f-8322-9d2371a6b05c · outbound

This paper cites An extension problem and hardy’s inequal- ity for the fractional laplace-beltrami operator on riemannian symmetric spaces of noncompact type.

Logarithmic Laplacian on General Riemannian Manifolds An extension problem and hardy’s inequal- ity for the fractional laplace-beltrami operator on riemannian symmetric spaces of noncompact type

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:14:24.469415Z

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Observation 66b4c5a2-77c6-45ae-923c-4236124395d1 · outbound

This paper cites Asymptotic behavior of solutions to the extension problem for the fractional laplacian on noncompact symmetric spaces.

Logarithmic Laplacian on General Riemannian Manifolds Asymptotic behavior of solutions to the extension problem for the fractional laplacian on noncompact symmetric spaces

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-06T23:14:13.565004Z

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Observation 91c8808d-89c6-458a-9dbe-859144b30fcc · outbound

This paper cites Table of integrals, series, and products.

Logarithmic Laplacian on General Riemannian Manifolds Table of integrals, series, and products

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:14:23.936927Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation c7ce2c05-6978-4cf4-8a8f-bcd23af4e3d7 · outbound

This paper cites Anisotropic Calder\'{o}n problem of a nearly Laplace-Beltrami operator of order $2+$.

Logarithmic Laplacian on General Riemannian Manifolds Anisotropic Calder\'{o}n problem of a nearly Laplace-Beltrami operator of order $2+$

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-06T23:14:13.870482Z

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Observation 8cf6fdb1-7687-46b0-b9eb-714d4e2274c8 · outbound

This paper cites Hitchhiker’s guide to the fractional sobolev spaces.Bulletin des sciences math´ematiques, 136(5):521–573, 2012.

Logarithmic Laplacian on General Riemannian Manifolds Hitchhiker’s guide to the fractional sobolev spaces.Bulletin des sciences math´ematiques, 136(5):521–573, 2012

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-06T23:14:14.044845Z

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Observation 5f7529c4-4013-47f2-adc5-3fdb8fc9fdd6 · outbound

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Logarithmic Laplacian on General Riemannian Manifolds Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-06T23:14:23.623154Z

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Observation a1b17318-b9cf-4604-9954-04a6cce706d2 · outbound

This paper cites I: Functional analysis, volume 1.

Logarithmic Laplacian on General Riemannian Manifolds I: Functional analysis, volume 1

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:14:23.174826Z

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Observation 2154f7ae-a54c-4972-90fa-7099160463d9 · outbound

This paper cites Springer, 2021.

Logarithmic Laplacian on General Riemannian Manifolds Springer, 2021

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-06T23:14:14.594440Z

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Observation 55bf6aa6-a57d-44a1-9339-47f1f90228a4 · outbound

This paper cites The heat equation method of milgram and rosenbloom for open riemannian manifolds.

Logarithmic Laplacian on General Riemannian Manifolds The heat equation method of milgram and rosenbloom for open riemannian manifolds

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:14:22.432512Z

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Observation f3ab998b-6c84-4a0d-9cc7-fae242515d00 · outbound

This paper cites Essential self-adjointness of powers of generators of hyperbolic equations.

Logarithmic Laplacian on General Riemannian Manifolds Essential self-adjointness of powers of generators of hyperbolic equations

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:14:21.935672Z

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Observation cb8dd967-dbb2-4613-9f73-50f4c5f18fc9 · outbound

This paper cites Heat kernel and analysis on manifolds, volume 47.

Logarithmic Laplacian on General Riemannian Manifolds Heat kernel and analysis on manifolds, volume 47

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:14:21.544824Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation aefdb7ac-298e-4fd7-82ad-51b05407590e · outbound

This paper cites Fractional sobolev spaces on riemannian manifolds.

Logarithmic Laplacian on General Riemannian Manifolds Fractional sobolev spaces on riemannian manifolds

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:14:21.182056Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation e5af43fe-f2ae-4650-a0c9-68585a58ad99 · outbound

This paper cites Some function-theoretic properties of complete riemannian man- ifold and their applications to geometry.

Logarithmic Laplacian on General Riemannian Manifolds Some function-theoretic properties of complete riemannian man- ifold and their applications to geometry

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:14:20.773286Z

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Observation 830a6a98-e76b-4241-8ba4-e152179f60e6 · outbound

This paper cites Geometric analysis, volume 134.

Logarithmic Laplacian on General Riemannian Manifolds Geometric analysis, volume 134

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:14:20.354747Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 5d9b9547-acd4-4153-8d05-e49a008c106f · outbound

This paper cites Riemannian geometry, volume 171.

Logarithmic Laplacian on General Riemannian Manifolds Riemannian geometry, volume 171

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:14:19.901978Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation d801c770-f94d-4953-a054-956f8af9c6dd · outbound

This paper cites The heat kernel on hyperbolic space.

Logarithmic Laplacian on General Riemannian Manifolds The heat kernel on hyperbolic space

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:14:19.571331Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation e5c04faf-66ed-4ec6-aab8-c1d315b0aba8 · outbound

This paper cites Heat kernel bounds on hyperbolic space and kleinian groups.

Logarithmic Laplacian on General Riemannian Manifolds Heat kernel bounds on hyperbolic space and kleinian groups

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:14:19.159564Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation d909f792-77e9-4fa5-8523-b53b83abaa4b · outbound

This paper cites NIST handbook of mathematical functions hardback and CD-ROM.

Logarithmic Laplacian on General Riemannian Manifolds NIST handbook of mathematical functions hardback and CD-ROM

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-06T23:14:16.493168Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1f790b8d-7aae-445e-aac5-89734c30ae6d · outbound

This paper cites Asymptotic analysis, volume 48.

Logarithmic Laplacian on General Riemannian Manifolds Asymptotic analysis, volume 48

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:14:18.555156Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 3058c1b9-2139-48e0-bb31-a110e063076f · outbound

This paper cites Sobolev spaces, volume 140.

Logarithmic Laplacian on General Riemannian Manifolds Sobolev spaces, volume 140

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:14:18.233457Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Pith citing papers

Observation f0b646d6-3ee8-40b6-84cc-06d3c6e1bbfe · inbound

The Logarithmic Laplacian on General Graphs cites this paper.

The Logarithmic Laplacian on General Graphs Logarithmic Laplacian on General Riemannian Manifolds

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-06T19:32:12.770256Z

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Observation e9f4d6b1-58d5-45bb-aadd-5e7e1be6d770 · 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 Logarithmic Laplacian on General Riemannian Manifolds

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-06T12:34:41.604371Z

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Observation d64e79cd-4123-4b2b-8bd2-135c64ba67e5 · inbound

The Fractional-Logarithmic Laplacian:Fundamental Properties and Eigenvalues cites this paper.

The Fractional-Logarithmic Laplacian:Fundamental Properties and Eigenvalues Logarithmic Laplacian on General Riemannian Manifolds

Reference 16

Resolution: verified exact; arxiv_id, observed 2026-05-16T07:02:28.905029Z

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Observation 78208db5-bbd3-40c8-842e-a29c6f648a67 · inbound

Extension theorems for logarithmic Schr\"odinger and discrete Laplacian operators cites this paper.

Extension theorems for logarithmic Schr\"odinger and discrete Laplacian operators Logarithmic Laplacian on General Riemannian Manifolds

Reference 17

Resolution: unresolved; no resolver link, observed 2026-07-13T12:43:29.044156Z

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Observation 5d250774-d8b0-46c9-b2fc-69a2e30d9dd3 · inbound

On $m$-order logarithmic Schr\"odinger operator cites this paper.

On $m$-order logarithmic Schr\"odinger operator Logarithmic Laplacian on General Riemannian Manifolds

Reference 10

Resolution: verified exact; arxiv_id, observed 2026-07-04T06:49:38.180188Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 4868a513-95f3-44b0-9bdc-87ba61397412 · inbound

The logarithmic $p$-Laplacian on hyperbolic spaces cites this paper.

The logarithmic $p$-Laplacian on hyperbolic spaces Logarithmic Laplacian on General Riemannian Manifolds

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-15T15:21:17.744860Z

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