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Source: paper_references, paper_reference_links, observed 2026-08-11T14:40:54.109373Z
Paper Citation Record · LEDGER
The Pogorelov estimates for the sum Hessian equation with rigidity theorem and parabolic versions
As of 14 August 2026, this Paper Citation Record lists 48 of 48 outbound references and 1 inbound Pith citation observation for arXiv:2412.11822.
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Reference resolution
48 of 48 outbound references displayed
- verified exact1
- verified fuzzy35
- unresolved12
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
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Outbound references
Observation aaa291fb-9cb8-42f3-8c78-bbd9017ed2a0 · outbound
This paper cites Bakelman and B.
The Pogorelov estimates for the sum Hessian equation with rigidity theorem and parabolic versions Bakelman and B
Reference 1
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- verified fuzzy
- raw_fallback, observed 2026-08-11T14:40:54.815574Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation ea95ad2a-5da5-4c12-a7c5-b9fbfd51f9a7 · outbound
This paper cites Ball, Differentiability properties of symmetric and isotropic fu nctions.
The Pogorelov estimates for the sum Hessian equation with rigidity theorem and parabolic versions Ball, Differentiability properties of symmetric and isotropic fu nctions
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T14:40:54.802609Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 5e9b27a0-19b5-4c8f-9a85-69641c5da712 · outbound
This paper cites an unresolved cited work.
The Pogorelov estimates for the sum Hessian equation with rigidity theorem and parabolic versions Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T14:40:54.790203Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 3bbfddf2-d10e-4ce7-9c54-00721e238925 · outbound
This paper cites an unresolved cited work.
The Pogorelov estimates for the sum Hessian equation with rigidity theorem and parabolic versions Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T14:40:54.777820Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation e2b4e606-f471-4003-9e1e-138da8e8faac · outbound
This paper cites Blocki, Interior regularity of the degenerate Monge-Amp` ere equat ions, Bull.
The Pogorelov estimates for the sum Hessian equation with rigidity theorem and parabolic versions Blocki, Interior regularity of the degenerate Monge-Amp` ere equat ions, Bull
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T14:40:54.765962Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation b03d97c4-fe33-4a15-a8c3-79d2ba8b9b17 · outbound
This paper cites Brendle, K.
The Pogorelov estimates for the sum Hessian equation with rigidity theorem and parabolic versions Brendle, K
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T14:40:54.753507Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation f0c16f50-015a-44ef-a1f5-662101696392 · outbound
This paper cites Caffarelli, Y.
The Pogorelov estimates for the sum Hessian equation with rigidity theorem and parabolic versions Caffarelli, Y
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T14:40:54.740319Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation d1535f03-144a-46f8-b54e-2ce5713fb3e2 · outbound
This paper cites Caffarelli, L.
The Pogorelov estimates for the sum Hessian equation with rigidity theorem and parabolic versions Caffarelli, L
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T14:40:54.728099Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation a149eec1-dcc4-472e-a067-e0da5fadc731 · outbound
This paper cites Caffarelli, L.
The Pogorelov estimates for the sum Hessian equation with rigidity theorem and parabolic versions Caffarelli, L
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T14:40:54.716116Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 6dfeb1db-8fd1-4e7e-bb40-7d26121d02f7 · outbound
This paper cites Caffarelli, L.
The Pogorelov estimates for the sum Hessian equation with rigidity theorem and parabolic versions Caffarelli, L
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T14:40:54.703619Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation f662378d-4410-41b1-905d-1666a49ea6be · outbound
This paper cites Calabi, Imporper affine hyperspheres of convex type and a generalizat ion of a theorem by K.J ¨orgens.
The Pogorelov estimates for the sum Hessian equation with rigidity theorem and parabolic versions Calabi, Imporper affine hyperspheres of convex type and a generalizat ion of a theorem by K.J ¨orgens
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T14:40:54.692085Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation f77174da-c72c-4bd8-adfe-ff19e26cd4d1 · outbound
This paper cites Chang, Y.
The Pogorelov estimates for the sum Hessian equation with rigidity theorem and parabolic versions Chang, Y
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T14:40:54.679751Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 53efcc35-9074-4a59-97b7-692243dae6ba · outbound
This paper cites Cheng, S.
The Pogorelov estimates for the sum Hessian equation with rigidity theorem and parabolic versions Cheng, S
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T14:40:54.667911Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 293b39b6-cd91-49dd-9488-c645c4e31653 · outbound
This paper cites an unresolved cited work.
The Pogorelov estimates for the sum Hessian equation with rigidity theorem and parabolic versions Unresolved cited work
Reference 14
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T14:40:54.655503Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 6b12436b-0ee2-4308-bfcf-e965ed2c39d0 · outbound
This paper cites Dong, Hessian equations with elementary symmetric functions.
The Pogorelov estimates for the sum Hessian equation with rigidity theorem and parabolic versions Dong, Hessian equations with elementary symmetric functions
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T14:40:54.641968Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation b9112b6c-6c48-48c3-ba22-28e278bf1232 · outbound
This paper cites Espinar, J.
The Pogorelov estimates for the sum Hessian equation with rigidity theorem and parabolic versions Espinar, J
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T14:40:54.626667Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation f11000d5-9ed1-4a95-87a5-e183c197d9c7 · outbound
This paper cites Gilbarg, N.
The Pogorelov estimates for the sum Hessian equation with rigidity theorem and parabolic versions Gilbarg, N
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T14:40:54.608658Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 595ba20d-2234-460b-9558-83dfaa0ddbf7 · outbound
This paper cites Guan, The Dirichlet problem for Hessian equations on Riemannian m anifolds.
The Pogorelov estimates for the sum Hessian equation with rigidity theorem and parabolic versions Guan, The Dirichlet problem for Hessian equations on Riemannian m anifolds
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T14:40:54.595964Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 47f3e001-0340-4ba6-8770-62e271b3a01d · outbound
This paper cites an unresolved cited work.
The Pogorelov estimates for the sum Hessian equation with rigidity theorem and parabolic versions Unresolved cited work
Reference 19
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T14:40:54.583791Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 2f0eba49-db23-4116-b044-60d5754124dd · outbound
This paper cites an unresolved cited work.
The Pogorelov estimates for the sum Hessian equation with rigidity theorem and parabolic versions Unresolved cited work
Reference 20
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T14:40:54.570504Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 000945cb-6096-4d9b-8961-b4ec9ef7af2d · outbound
This paper cites an unresolved cited work.
The Pogorelov estimates for the sum Hessian equation with rigidity theorem and parabolic versions Unresolved cited work
Reference 21
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T14:40:54.555241Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 53a60c38-e2fd-4882-9895-912bcdb69285 · outbound
This paper cites Guan and X.
The Pogorelov estimates for the sum Hessian equation with rigidity theorem and parabolic versions Guan and X
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T14:40:54.541087Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation d55bfc24-9914-41e9-9e32-ec16c12dd872 · outbound
This paper cites Guti´ errez, Q.
The Pogorelov estimates for the sum Hessian equation with rigidity theorem and parabolic versions Guti´ errez, Q
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T14:40:54.526480Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 41888193-cd39-4a94-9b6f-1a90c968f765 · outbound
This paper cites Harvey and H.
The Pogorelov estimates for the sum Hessian equation with rigidity theorem and parabolic versions Harvey and H
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T14:40:54.512161Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation e58196b6-208e-4a17-bd76-a9375d76263d · outbound
This paper cites He, H Sheng, N.
The Pogorelov estimates for the sum Hessian equation with rigidity theorem and parabolic versions He, H Sheng, N
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T14:40:54.497681Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation d3c99d51-721e-4436-b271-f634db4d75c2 · outbound
This paper cites J¨orgens, ¨U ber die L ¨osungen der Differentialgleichung rs − t2 = 1.
The Pogorelov estimates for the sum Hessian equation with rigidity theorem and parabolic versions J¨orgens, ¨U ber die L ¨osungen der Differentialgleichung rs − t2 = 1
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T14:40:54.485176Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation d2b49903-e26f-4952-97a5-29c15298fc10 · outbound
This paper cites Krylov, On the general notion of fully nonlinear second order ellipt ic equation.
The Pogorelov estimates for the sum Hessian equation with rigidity theorem and parabolic versions Krylov, On the general notion of fully nonlinear second order ellipt ic equation
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T14:40:54.472303Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 1e1fcfe2-844d-4dcb-ada9-6c49c6ae6f57 · outbound
This paper cites an unresolved cited work.
The Pogorelov estimates for the sum Hessian equation with rigidity theorem and parabolic versions Unresolved cited work
Reference 28
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T14:40:54.456119Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation f05a37d4-7601-4428-ac93-05e00ee1820e · outbound
This paper cites an unresolved cited work.
The Pogorelov estimates for the sum Hessian equation with rigidity theorem and parabolic versions Unresolved cited work
Reference 29
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T14:40:54.442495Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 4a865dfd-3e54-45b4-a1f5-f178736f8432 · outbound
This paper cites an unresolved cited work.
The Pogorelov estimates for the sum Hessian equation with rigidity theorem and parabolic versions Unresolved cited work
Reference 30
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T14:40:54.427975Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation cda5a995-cf32-4b04-93f7-4cb0887519d9 · outbound
This paper cites an unresolved cited work.
The Pogorelov estimates for the sum Hessian equation with rigidity theorem and parabolic versions Unresolved cited work
Reference 31
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T14:40:54.414939Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation b63ae031-d4a0-40af-acd1-227ae1a274ec · outbound
This paper cites an unresolved cited work.
The Pogorelov estimates for the sum Hessian equation with rigidity theorem and parabolic versions Unresolved cited work
Reference 32
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T14:40:54.400862Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 89cd7ecc-4ebf-4eb0-a875-0cbdfebca120 · outbound
This paper cites Nakamori, K.
The Pogorelov estimates for the sum Hessian equation with rigidity theorem and parabolic versions Nakamori, K
Reference 33
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T14:40:54.387196Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 2fbe9605-5233-4645-b894-87eb7e778833 · outbound
This paper cites Oliker, Hypersurfaces in Rn+1 with prescribed Gaussian curvature and related equa- tions of Monge-Amp` ere type.
The Pogorelov estimates for the sum Hessian equation with rigidity theorem and parabolic versions Oliker, Hypersurfaces in Rn+1 with prescribed Gaussian curvature and related equa- tions of Monge-Amp` ere type
Reference 34
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T14:40:54.373844Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 739393b6-6fe6-42f5-8413-3bf8e6f3bca8 · outbound
This paper cites Pogorelov, On the improper convex affine hyperspheres.
The Pogorelov estimates for the sum Hessian equation with rigidity theorem and parabolic versions Pogorelov, On the improper convex affine hyperspheres
Reference 35
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T14:40:54.360202Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation e231809e-34d6-447a-8134-69ffd4d7e286 · outbound
This paper cites Pogorelov, The Minkowski Multidimensional Problem.
The Pogorelov estimates for the sum Hessian equation with rigidity theorem and parabolic versions Pogorelov, The Minkowski Multidimensional Problem
Reference 36
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T14:40:54.346682Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation bc63cfb2-c94f-4609-8d82-d54ca07c0e22 · outbound
This paper cites Ren, A generalization of Newton-Maclaurin ’s inequalities.
The Pogorelov estimates for the sum Hessian equation with rigidity theorem and parabolic versions Ren, A generalization of Newton-Maclaurin ’s inequalities
Reference 37
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T14:40:54.333054Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 27ab7911-50b0-4320-85d1-42c327a33398 · outbound
This paper cites Ren and Z.
The Pogorelov estimates for the sum Hessian equation with rigidity theorem and parabolic versions Ren and Z
Reference 38
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T14:40:54.319521Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation cedd00b4-bd0c-44dc-8657-d4238e2d5317 · outbound
This paper cites Ren and Z.
The Pogorelov estimates for the sum Hessian equation with rigidity theorem and parabolic versions Ren and Z
Reference 39
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T14:40:54.305851Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 1f12f5d2-9624-488b-af30-55efcb076613 · outbound
This paper cites Savin, Pointwise C 2,α estimates at the boundary for the Monge-Amp` ere equation , J.
The Pogorelov estimates for the sum Hessian equation with rigidity theorem and parabolic versions Savin, Pointwise C 2,α estimates at the boundary for the Monge-Amp` ere equation , J
Reference 40
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T14:40:54.293174Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 612f8c08-5bc9-4a2c-88ee-fcc930a119fc · outbound
This paper cites Sheng, J.
The Pogorelov estimates for the sum Hessian equation with rigidity theorem and parabolic versions Sheng, J
Reference 41
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T14:40:54.276205Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation c05a114b-f2f3-4875-ba31-4caa319c87e0 · outbound
This paper cites Trudinger, X.
The Pogorelov estimates for the sum Hessian equation with rigidity theorem and parabolic versions Trudinger, X
Reference 42
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T14:40:54.256093Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 57d1050a-80fc-4362-95b0-ae29b2132bcc · outbound
This paper cites Pogorelov type estimates for $(n-1)$-Hessian equations and related rigidity theorems.
The Pogorelov estimates for the sum Hessian equation with rigidity theorem and parabolic versions Pogorelov type estimates for $(n-1)$-Hessian equations and related rigidity theorems
Reference 43
- Resolution
- verified exact
- local_arxiv, observed 2026-08-11T14:40:54.178106Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation a27072a7-7596-41a6-b3cb-a9cd8fe68871 · outbound
This paper cites Warren, Nonpolynomial entire solutions to σk equations.
The Pogorelov estimates for the sum Hessian equation with rigidity theorem and parabolic versions Warren, Nonpolynomial entire solutions to σk equations
Reference 44
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T14:40:54.237473Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 734a06b4-4654-458a-a08e-a544b583d422 · outbound
This paper cites Xiong, J.
The Pogorelov estimates for the sum Hessian equation with rigidity theorem and parabolic versions Xiong, J
Reference 45
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T14:40:54.223261Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation b6c56c6e-8aee-4cc5-8faa-5ad27a0cba46 · outbound
This paper cites Yang, Prescribed curvature measure problem in hyperbolic space , Comm.
The Pogorelov estimates for the sum Hessian equation with rigidity theorem and parabolic versions Yang, Prescribed curvature measure problem in hyperbolic space , Comm
Reference 46
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T14:40:54.206578Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 75a8cf61-7673-43b4-9d8e-aa66c35270db · outbound
This paper cites Zhang, J.
The Pogorelov estimates for the sum Hessian equation with rigidity theorem and parabolic versions Zhang, J
Reference 47
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T14:40:54.193119Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 8a707c2e-66a8-4452-9dea-6b965810b343 · outbound
This paper cites $C^2$ estimates for $k$-Hessian equations and a rigidity theorem.
The Pogorelov estimates for the sum Hessian equation with rigidity theorem and parabolic versions $C^2$ estimates for $k$-Hessian equations and a rigidity theorem
Reference 48
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T14:40:54.109373Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Pith citing papers
Observation 2e6cd714-6613-45fc-abe8-e4693d9a8a48 · inbound
Interior $C^{2}$ estimate for semi-convex solutions to a class of Hessian quotient equations in arbitrary dimensions cites this paper.
Interior $C^{2}$ estimate for semi-convex solutions to a class of Hessian quotient equations in arbitrary dimensions The Pogorelov estimates for the sum Hessian equation with rigidity theorem and parabolic versions
Reference 24
- Resolution
- verified exact
- arxiv_id, observed 2026-05-11T21:01:10.165024Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.