Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T20:41:08.801572Z
Paper Citation Record · LEDGER
The log-concavity of eigenfunction to complex Monge-Amp\`ere operator in $\mathbb{C}^2$
As of 21 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 0 inbound Pith citation observations for arXiv:2505.12817.
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 2026-08-21T06:32:19.484+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
Reference resolution
42 of 42 outbound references displayed
- verified exact1
- verified fuzzy30
- unresolved11
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation cbc4725b-3a06-4478-abda-6058f613e57b · outbound
This paper cites Acker, L.
The log-concavity of eigenfunction to complex Monge-Amp\`ere operator in $\mathbb{C}^2$ Acker, L
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T20:41:09.292279Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 40b88fae-4f0b-4a8d-b707-2364a14d759d · outbound
This paper cites Alvarez, J.-M.
The log-concavity of eigenfunction to complex Monge-Amp\`ere operator in $\mathbb{C}^2$ Alvarez, J.-M
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T20:41:09.283589Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 52b06285-c93b-4f35-8aa2-20c20086a205 · outbound
This paper cites Proof of the fundamental gap conjecture.J.
The log-concavity of eigenfunction to complex Monge-Amp\`ere operator in $\mathbb{C}^2$ Proof of the fundamental gap conjecture.J
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T20:41:09.274170Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 2ce0dcc8-d8c3-498f-a715-7f5ce82e2554 · outbound
This paper cites The eigenvalue problem for the complex Monge-Amp` ere operator.
The log-concavity of eigenfunction to complex Monge-Amp\`ere operator in $\mathbb{C}^2$ The eigenvalue problem for the complex Monge-Amp` ere operator
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T20:41:09.260030Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation aaa2be0c-ae11-4cd1-8cde-72bfe8205d24 · outbound
This paper cites A microscopic convexity principle for nonlinear partial differential equations.Invent.
The log-concavity of eigenfunction to complex Monge-Amp\`ere operator in $\mathbb{C}^2$ A microscopic convexity principle for nonlinear partial differential equations.Invent
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T20:41:09.250812Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 900218e9-19f0-4887-98ca-95c6a054f9e0 · outbound
This paper cites Power concavity for solutions of nonlinear elliptic problems in convex domains.
The log-concavity of eigenfunction to complex Monge-Amp\`ere operator in $\mathbb{C}^2$ Power concavity for solutions of nonlinear elliptic problems in convex domains
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T20:41:09.241110Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 814260f2-cecb-4736-bade-87b8ce1a255e · outbound
This paper cites Concavity properties for solutions top-Laplace equations with concave nonlinearities.Adv.
The log-concavity of eigenfunction to complex Monge-Amp\`ere operator in $\mathbb{C}^2$ Concavity properties for solutions top-Laplace equations with concave nonlinearities.Adv
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T20:41:09.231616Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 66fdb389-902f-4f5c-a29d-d678f36db94d · outbound
This paper cites an unresolved cited work.
The log-concavity of eigenfunction to complex Monge-Amp\`ere operator in $\mathbb{C}^2$ Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T20:41:09.222643Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation ea14e33d-a9aa-46e4-bb34-615c544e4526 · outbound
This paper cites Caffarelli and Avner Friedman.
The log-concavity of eigenfunction to complex Monge-Amp\`ere operator in $\mathbb{C}^2$ Caffarelli and Avner Friedman
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T20:41:09.213210Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 484d8928-938c-4b0a-af38-3e7f9d80c67a · outbound
This paper cites Caffarelli and Joel Spruck.
The log-concavity of eigenfunction to complex Monge-Amp\`ere operator in $\mathbb{C}^2$ Caffarelli and Joel Spruck
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T20:41:09.204271Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 970fd146-6d58-45db-a822-16d7121a1a43 · outbound
This paper cites Strict power convexity of solutions to fully nonlinear elliptic partial differential equations in two dimensional convex domains.J.
The log-concavity of eigenfunction to complex Monge-Amp\`ere operator in $\mathbb{C}^2$ Strict power convexity of solutions to fully nonlinear elliptic partial differential equations in two dimensional convex domains.J
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T20:41:09.195278Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 8b44e115-347f-44df-814f-7bdd1b024b9f · outbound
This paper cites Brunn--Minkowski Inequality for the First Complex $\sigma_{2}$-Hessian Eigenvalue.
The log-concavity of eigenfunction to complex Monge-Amp\`ere operator in $\mathbb{C}^2$ Brunn--Minkowski Inequality for the First Complex $\sigma_{2}$-Hessian Eigenvalue
Reference 12
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T20:41:08.705904Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 737f4b4d-583d-4799-9e8b-2e80677a42f5 · outbound
This paper cites Power Convexity of Solutions to the Complex Monge-Amp\`{e}re Equation $\det(u_{i\overline{j}})=1$ in Complex Dimension Two.
The log-concavity of eigenfunction to complex Monge-Amp\`ere operator in $\mathbb{C}^2$ Power Convexity of Solutions to the Complex Monge-Amp\`{e}re Equation $\det(u_{i\overline{j}})=1$ in Complex Dimension Two
Reference 13
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T20:41:08.912625Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 7200616b-efc1-4bc7-94a5-3030a3db0ec9 · outbound
This paper cites The eigenvalue problem for the complex Hessian operator onm-pseudoconvex manifolds.J.
The log-concavity of eigenfunction to complex Monge-Amp\`ere operator in $\mathbb{C}^2$ The eigenvalue problem for the complex Hessian operator onm-pseudoconvex manifolds.J
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T20:41:09.185730Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation a6176f8c-dcfb-4e88-8440-fc57fd2a2ee1 · outbound
This paper cites On the Dirichlet and Serrin problems for the inhomogeneous infinity Laplacian in convex domains: regularity and geometric results.Arch.
The log-concavity of eigenfunction to complex Monge-Amp\`ere operator in $\mathbb{C}^2$ On the Dirichlet and Serrin problems for the inhomogeneous infinity Laplacian in convex domains: regularity and geometric results.Arch
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T20:41:09.176336Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 73a47445-edb1-4f24-ac43-7888e253c3d5 · outbound
This paper cites The convexity of a fully nonlinear operator and its related eigenvalue problem.J.
The log-concavity of eigenfunction to complex Monge-Amp\`ere operator in $\mathbb{C}^2$ The convexity of a fully nonlinear operator and its related eigenvalue problem.J
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T20:41:09.166958Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation ff47b075-fcc3-45fe-9fb8-8afab3a2f7b1 · outbound
This paper cites Power concavity in weakly coupled elliptic and parabolic systems.Nonlinear Anal., 131:81–97, 2016.
The log-concavity of eigenfunction to complex Monge-Amp\`ere operator in $\mathbb{C}^2$ Power concavity in weakly coupled elliptic and parabolic systems.Nonlinear Anal., 131:81–97, 2016
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T20:41:09.157156Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 0081fae3-330a-4ad8-9c07-cff7b44090c8 · outbound
This paper cites Convexity estimates for Green’s function and the first eigenfunction of Laplace operator.Potential Anal., 59(4):1525–1545, 2023.
The log-concavity of eigenfunction to complex Monge-Amp\`ere operator in $\mathbb{C}^2$ Convexity estimates for Green’s function and the first eigenfunction of Laplace operator.Potential Anal., 59(4):1525–1545, 2023
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T20:41:09.147722Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 424f0e2b-f90c-4072-a6b1-f6d50f5e2873 · outbound
This paper cites an unresolved cited work.
The log-concavity of eigenfunction to complex Monge-Amp\`ere operator in $\mathbb{C}^2$ Unresolved cited work
Reference 19
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T20:41:09.138182Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation c91f1228-0db6-4d76-b304-d500ab563420 · outbound
This paper cites Kennington.
The log-concavity of eigenfunction to complex Monge-Amp\`ere operator in $\mathbb{C}^2$ Kennington
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T20:41:09.127830Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation c0f444ed-0432-49e6-8509-497bafd6d005 · outbound
This paper cites Capillary surface convexity above convex domains.Indiana Univ.
The log-concavity of eigenfunction to complex Monge-Amp\`ere operator in $\mathbb{C}^2$ Capillary surface convexity above convex domains.Indiana Univ
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T20:41:09.118565Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 27ef9761-ffd1-436d-a75c-10578fcaf7b0 · outbound
This paper cites Korevaar.
The log-concavity of eigenfunction to complex Monge-Amp\`ere operator in $\mathbb{C}^2$ Korevaar
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T20:41:09.108417Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 13e284fd-4fc9-4e92-adf2-89b9f213a913 · outbound
This paper cites Korevaar and John L.
The log-concavity of eigenfunction to complex Monge-Amp\`ere operator in $\mathbb{C}^2$ Korevaar and John L
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T20:41:09.098879Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 7e8d564e-fd9d-493b-b660-f8ccb6d04fba · outbound
This paper cites an unresolved cited work.
The log-concavity of eigenfunction to complex Monge-Amp\`ere operator in $\mathbb{C}^2$ Unresolved cited work
Reference 24
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T20:41:09.089659Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 3d373ee4-8f50-4cb8-9626-5d8aed02836d · outbound
This paper cites an unresolved cited work.
The log-concavity of eigenfunction to complex Monge-Amp\`ere operator in $\mathbb{C}^2$ Unresolved cited work
Reference 25
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T20:41:09.078529Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation f6290596-4a58-4a92-ad49-3e09ccba462a · outbound
This paper cites Concavity of solutions to degenerate elliptic equations on the sphere.Comm.
The log-concavity of eigenfunction to complex Monge-Amp\`ere operator in $\mathbb{C}^2$ Concavity of solutions to degenerate elliptic equations on the sphere.Comm
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T20:41:09.068892Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 205b6636-399c-4869-adda-dc9999c4a5b4 · outbound
This paper cites Le.Analysis of Monge-Amp` ere equations, volume 240 ofGraduate Studies in Mathematics.
The log-concavity of eigenfunction to complex Monge-Amp\`ere operator in $\mathbb{C}^2$ Le.Analysis of Monge-Amp` ere equations, volume 240 ofGraduate Studies in Mathematics
Reference 27
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T20:41:08.753842Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 82e1422e-d173-42f5-a936-272d0fb4d85e · outbound
This paper cites A Brunn--Minkowski inequality for the Hessian eigenvalue in convex domain.
The log-concavity of eigenfunction to complex Monge-Amp\`ere operator in $\mathbb{C}^2$ A Brunn--Minkowski inequality for the Hessian eigenvalue in convex domain
Reference 28
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T20:41:08.756821Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation cd14ea0f-2ab7-4387-8582-32686c305b8d · outbound
This paper cites an unresolved cited work.
The log-concavity of eigenfunction to complex Monge-Amp\`ere operator in $\mathbb{C}^2$ Unresolved cited work
Reference 29
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T20:41:09.052998Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 2046a2ea-7bd0-41d8-870a-a2235511eaca · outbound
This paper cites A Brunn-Minkowski inequality for the Hessian eigenvalue in three- dimensional convex domain.Adv.
The log-concavity of eigenfunction to complex Monge-Amp\`ere operator in $\mathbb{C}^2$ A Brunn-Minkowski inequality for the Hessian eigenvalue in three- dimensional convex domain.Adv
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T20:41:09.043893Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation ff8703fd-b54e-4893-91ec-df966aaa6e90 · outbound
This paper cites The convexity estimates for the solutions of two elliptic equations.
The log-concavity of eigenfunction to complex Monge-Amp\`ere operator in $\mathbb{C}^2$ The convexity estimates for the solutions of two elliptic equations
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T20:41:09.033823Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation a9af6a27-bf53-4eba-8913-06d6c388e26f · outbound
This paper cites The convexity of solution of a class Hessian equation in bounded convex domain inR 3.J.
The log-concavity of eigenfunction to complex Monge-Amp\`ere operator in $\mathbb{C}^2$ The convexity of solution of a class Hessian equation in bounded convex domain inR 3.J
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T20:41:09.024192Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation cf183eae-2aa1-4ba1-9a66-2dceee7283d2 · outbound
This paper cites an unresolved cited work.
The log-concavity of eigenfunction to complex Monge-Amp\`ere operator in $\mathbb{C}^2$ Unresolved cited work
Reference 33
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T20:41:09.014754Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 3bdd831a-511f-424c-86cb-1c92b1e7dff5 · outbound
This paper cites Concavity, quasiconcavity, and quasilinear elliptic equations.Taiwanese J.
The log-concavity of eigenfunction to complex Monge-Amp\`ere operator in $\mathbb{C}^2$ Concavity, quasiconcavity, and quasilinear elliptic equations.Taiwanese J
Reference 34
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T20:41:09.004486Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 64c9fa4e-731c-440b-9995-95cd987e539c · outbound
This paper cites Concave solutions to Finslerp-Laplace type equations.Discrete Contin.
The log-concavity of eigenfunction to complex Monge-Amp\`ere operator in $\mathbb{C}^2$ Concave solutions to Finslerp-Laplace type equations.Discrete Contin
Reference 35
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T20:41:08.994799Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 67d559bd-aaef-44d2-98b4-1a0f420ae0e0 · outbound
This paper cites Concavity properties of solutions to some degenerate quasilinear elliptic Dirichlet problems.Ann.
The log-concavity of eigenfunction to complex Monge-Amp\`ere operator in $\mathbb{C}^2$ Concavity properties of solutions to some degenerate quasilinear elliptic Dirichlet problems.Ann
Reference 36
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T20:41:08.984395Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation da85c679-2156-4f08-a56c-548acadb9aa0 · outbound
This paper cites Convexity of solutions and Brunn-Minkowski inequalities for Hessian equations inR 3.
The log-concavity of eigenfunction to complex Monge-Amp\`ere operator in $\mathbb{C}^2$ Convexity of solutions and Brunn-Minkowski inequalities for Hessian equations inR 3
Reference 37
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T20:41:08.974014Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 2e1ec558-6a73-4bff-8213-86aa95e5387c · outbound
This paper cites Cambridge University Press, Cambridge, expanded edition, 2014.
The log-concavity of eigenfunction to complex Monge-Amp\`ere operator in $\mathbb{C}^2$ Cambridge University Press, Cambridge, expanded edition, 2014
Reference 38
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T20:41:08.964003Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 9e21b168-cd9a-43d1-9e03-b21b69d9fa66 · outbound
This paper cites an unresolved cited work.
The log-concavity of eigenfunction to complex Monge-Amp\`ere operator in $\mathbb{C}^2$ Unresolved cited work
Reference 39
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T20:41:08.952871Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 2b7f8c04-a777-436f-bb71-e72a18f0ebc2 · outbound
This paper cites A class of fully nonlinear elliptic equations and related functionals.Indiana Univ.
The log-concavity of eigenfunction to complex Monge-Amp\`ere operator in $\mathbb{C}^2$ A class of fully nonlinear elliptic equations and related functionals.Indiana Univ
Reference 40
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T20:41:08.942640Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation e4319ec1-f125-4403-ac63-893f3756c9bf · outbound
This paper cites Power convexity of solutions to a special Lagrangian equation in dimension two.J.
The log-concavity of eigenfunction to complex Monge-Amp\`ere operator in $\mathbb{C}^2$ Power convexity of solutions to a special Lagrangian equation in dimension two.J
Reference 41
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T20:41:08.932562Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation de400132-34be-4ac0-9bde-edf3ae3c0cc9 · outbound
This paper cites Power convexity of solutions to complex Monge-Amp` ere equation inC 2.
The log-concavity of eigenfunction to complex Monge-Amp\`ere operator in $\mathbb{C}^2$ Power convexity of solutions to complex Monge-Amp` ere equation inC 2
Reference 42
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T20:41:08.801572Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Pith citing papers
No inbound Pith citation observations are available.