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Pogorelov type interior $C^2$ estimate for Hessian quotient equation and its application

As of 20 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 0 inbound Pith citation observations for arXiv:2505.10287.

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pith.paper-citation-record.v1
2505.10287 v1

Coverage vector

measured 43 of 43 reference resolution

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Reference resolution

43 of 43 outbound references displayed

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External citation measurements

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Outbound references

Observation 02e8195d-b4ae-4b23-9f28-251502bd57fa · outbound

This paper cites Bao and J.

Pogorelov type interior $C^2$ estimate for Hessian quotient equation and its application Bao and J

Reference 1

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Observation ee88471c-eb79-49ac-b2a6-0ec860716ff4 · outbound

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Pogorelov type interior $C^2$ estimate for Hessian quotient equation and its application Unresolved cited work

Reference 2

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Observation b3d23fc9-6edc-4642-8155-c57f6233a1a4 · outbound

This paper cites Brendle, K.

Pogorelov type interior $C^2$ estimate for Hessian quotient equation and its application Brendle, K

Reference 3

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Pogorelov type interior $C^2$ estimate for Hessian quotient equation and its application Unresolved cited work

Reference 4

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Observation a514bf93-1279-4183-b971-482926f6777a · outbound

This paper cites an unresolved cited work.

Pogorelov type interior $C^2$ estimate for Hessian quotient equation and its application Unresolved cited work

Reference 5

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Observation 9efcbee7-5cf2-463d-ab7e-cfa233a19337 · outbound

This paper cites an unresolved cited work.

Pogorelov type interior $C^2$ estimate for Hessian quotient equation and its application Unresolved cited work

Reference 6

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Observation dd7a82ed-f2cf-4df6-b898-fc436c1f7c6d · outbound

This paper cites an unresolved cited work.

Pogorelov type interior $C^2$ estimate for Hessian quotient equation and its application Unresolved cited work

Reference 7

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Observation caf29004-2aaf-4c27-a3a5-96fdc5b4cd62 · outbound

This paper cites An Integral Approach to Prescribing Scalar Curvature Equations.

Pogorelov type interior $C^2$ estimate for Hessian quotient equation and its application An Integral Approach to Prescribing Scalar Curvature Equations

Reference 8

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Observation 8ec0e337-b480-4e8e-845b-fc067f536577 · outbound

This paper cites Chou and X.-J.

Pogorelov type interior $C^2$ estimate for Hessian quotient equation and its application Chou and X.-J

Reference 9

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Observation 7b6224cc-8d9c-4c7d-bcdc-758a2c1c2737 · outbound

This paper cites an unresolved cited work.

Pogorelov type interior $C^2$ estimate for Hessian quotient equation and its application Unresolved cited work

Reference 10

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Observation bee8f2c6-9b16-498e-9b76-49842c5ea02f · outbound

This paper cites an unresolved cited work.

Pogorelov type interior $C^2$ estimate for Hessian quotient equation and its application Unresolved cited work

Reference 11

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Observation f83fa82c-127d-4545-9cde-2ee63ad76262 · outbound

This paper cites Guan and G.

Pogorelov type interior $C^2$ estimate for Hessian quotient equation and its application Guan and G

Reference 12

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Observation 48e73ebe-bd4c-4045-9f3f-bc24fae208d2 · outbound

This paper cites an unresolved cited work.

Pogorelov type interior $C^2$ estimate for Hessian quotient equation and its application Unresolved cited work

Reference 13

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Observation 2c5fb7a1-9348-4692-8b34-0ad9ff421eb4 · outbound

This paper cites Guan and M.

Pogorelov type interior $C^2$ estimate for Hessian quotient equation and its application Guan and M

Reference 14

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Observation 551b0546-53e1-41f0-ab57-f99b21a09d07 · outbound

This paper cites Heinz, On elliptic Monge-Amp` ere equations and Weyl’s embedding problem, J.

Pogorelov type interior $C^2$ estimate for Hessian quotient equation and its application Heinz, On elliptic Monge-Amp` ere equations and Weyl’s embedding problem, J

Reference 15

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Observation aae68611-ee3f-4504-8050-cd676c805b9c · outbound

This paper cites Ishii, On the equivalence of two notions of weak solutions, viscosity solutions and distribution solutions, Funkcial.

Pogorelov type interior $C^2$ estimate for Hessian quotient equation and its application Ishii, On the equivalence of two notions of weak solutions, viscosity solutions and distribution solutions, Funkcial

Reference 16

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Observation c8b99775-ec06-45ee-a5b3-b60ed3fedaa3 · outbound

This paper cites Ishii and P.-L.

Pogorelov type interior $C^2$ estimate for Hessian quotient equation and its application Ishii and P.-L

Reference 17

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Observation b9affbfb-cbc4-4af2-88b2-3740e16163c9 · outbound

This paper cites an unresolved cited work.

Pogorelov type interior $C^2$ estimate for Hessian quotient equation and its application Unresolved cited work

Reference 18

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Observation 88cc2281-500d-4a8f-bd6d-d4b9f0a24d15 · outbound

This paper cites Lin and N.

Pogorelov type interior $C^2$ estimate for Hessian quotient equation and its application Lin and N

Reference 19

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Observation 46dd2df2-1287-496a-bbe4-2b40f2e75e34 · outbound

This paper cites Liu, Interior C 2 estimate for Monge-Amp` ere equation in dimension two, Proc.

Pogorelov type interior $C^2$ estimate for Hessian quotient equation and its application Liu, Interior C 2 estimate for Monge-Amp` ere equation in dimension two, Proc

Reference 20

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Observation 12d63cf2-a57f-4007-a6fb-decac2ea31ba · outbound

This paper cites Liu and J.

Pogorelov type interior $C^2$ estimate for Hessian quotient equation and its application Liu and J

Reference 21

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Observation 3dc0d3a9-59c2-49d4-871a-8178382a3d83 · outbound

This paper cites Interior $C^2$ estimate for Hessian quotient equation in dimension three.

Pogorelov type interior $C^2$ estimate for Hessian quotient equation and its application Interior $C^2$ estimate for Hessian quotient equation in dimension three

Reference 22

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Observation b8c9d1aa-7043-419f-900e-477779c6f00e · outbound

This paper cites Interior $C^2$ estimate for Hessian quotient equation in general dimension.

Pogorelov type interior $C^2$ estimate for Hessian quotient equation and its application Interior $C^2$ estimate for Hessian quotient equation in general dimension

Reference 23

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Observation ddcc3a1d-5e95-4e66-89e3-814df5cc24a7 · outbound

This paper cites McGonagle, C.

Pogorelov type interior $C^2$ estimate for Hessian quotient equation and its application McGonagle, C

Reference 24

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Observation 8bb782d2-6d59-424f-8bc6-2f8862b80156 · outbound

This paper cites Mooney, Partial Regularity for Singular Solutions to the Monge-Amp` ere Equation , Comm.

Pogorelov type interior $C^2$ estimate for Hessian quotient equation and its application Mooney, Partial Regularity for Singular Solutions to the Monge-Amp` ere Equation , Comm

Reference 25

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Observation 1467750a-d1ac-453f-b7f3-c8c5705595b4 · outbound

This paper cites Mooney, Strict 2-convexity of convex solutions to the quadratic Hessian equation, Proc.

Pogorelov type interior $C^2$ estimate for Hessian quotient equation and its application Mooney, Strict 2-convexity of convex solutions to the quadratic Hessian equation, Proc

Reference 26

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Observation e9a5c90f-eab7-4bec-be8d-8e74abd09216 · outbound

This paper cites an unresolved cited work.

Pogorelov type interior $C^2$ estimate for Hessian quotient equation and its application Unresolved cited work

Reference 27

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 4c93228e-438a-451e-88eb-8e514c61d204 · outbound

This paper cites Qiu, Interior Hessian estimates for Sigma- 2 equations in dimension three , Front.

Pogorelov type interior $C^2$ estimate for Hessian quotient equation and its application Qiu, Interior Hessian estimates for Sigma- 2 equations in dimension three , Front

Reference 28

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation b6e799f6-5ba0-488f-b403-35ea32b883c2 · outbound

This paper cites Qiu, Interior curvature estimates for hypersurfaces of prescribing scalar curvature in dimen- sion three, Amer.

Pogorelov type interior $C^2$ estimate for Hessian quotient equation and its application Qiu, Interior curvature estimates for hypersurfaces of prescribing scalar curvature in dimen- sion three, Amer

Reference 29

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 74452f29-58ca-462e-a78b-9008f4bae02c · outbound

This paper cites Shankar and Y.

Pogorelov type interior $C^2$ estimate for Hessian quotient equation and its application Shankar and Y

Reference 30

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation db575f32-3677-4a46-98cc-1d2f5f0feebf · outbound

This paper cites Shankar and Y.

Pogorelov type interior $C^2$ estimate for Hessian quotient equation and its application Shankar and Y

Reference 31

Resolution
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raw_fallback, observed 2026-08-15T21:26:26.378020Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 757cb678-9146-4cea-a48b-2fe8dd806b75 · outbound

This paper cites Shankar and Y.

Pogorelov type interior $C^2$ estimate for Hessian quotient equation and its application Shankar and Y

Reference 32

Resolution
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raw_fallback, observed 2026-08-15T21:26:26.367518Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation b99d7556-22f6-423b-9c99-d1f2770397ff · outbound

This paper cites Sheng, J.

Pogorelov type interior $C^2$ estimate for Hessian quotient equation and its application Sheng, J

Reference 33

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raw_fallback, observed 2026-08-15T21:26:26.357503Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 8b7de031-bc24-4277-b2e1-920b006716f1 · outbound

This paper cites Remarks on Hessian quotient equations on Riemannian manifolds.

Pogorelov type interior $C^2$ estimate for Hessian quotient equation and its application Remarks on Hessian quotient equations on Riemannian manifolds

Reference 34

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 4012ed8e-b765-439b-aeab-2f0dc7375fe8 · outbound

This paper cites an unresolved cited work.

Pogorelov type interior $C^2$ estimate for Hessian quotient equation and its application Unresolved cited work

Reference 35

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 0ca8759b-a999-428c-88b4-2b566601d355 · outbound

This paper cites Pogorelov type estimates for $(n-1)$-Hessian equations and related rigidity theorems.

Pogorelov type interior $C^2$ estimate for Hessian quotient equation and its application Pogorelov type estimates for $(n-1)$-Hessian equations and related rigidity theorems

Reference 36

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Observation 53157b59-9773-459f-af7c-e59d93cb6670 · outbound

This paper cites an unresolved cited work.

Pogorelov type interior $C^2$ estimate for Hessian quotient equation and its application Unresolved cited work

Reference 37

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raw_fallback, observed 2026-08-15T21:26:26.336130Z

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Observation 1d7089d4-d77a-4ee5-8884-233216c85b78 · outbound

This paper cites an unresolved cited work.

Pogorelov type interior $C^2$ estimate for Hessian quotient equation and its application Unresolved cited work

Reference 38

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source=pdf_text observed=2026-08-15T21:26:26.126614Z digest=sha256:1ae2ca456f0427bc1527acedb149ed7e16c804f47391ab81e3e82b7602052de0

Observation 6b5686ae-29bb-4876-9bc1-1209a061f60e · outbound

This paper cites Wang and Y.

Pogorelov type interior $C^2$ estimate for Hessian quotient equation and its application Wang and Y

Reference 39

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source=pdf_text observed=2026-08-15T21:26:26.131300Z digest=sha256:4a34fe651bf5db16678c0be2fa57e7ef3d74ff44dc696eb7dda4bb4c54f254e7

Observation 2d5aa177-5cea-452a-8742-68e38b73caeb · outbound

This paper cites Warren and Y.

Pogorelov type interior $C^2$ estimate for Hessian quotient equation and its application Warren and Y

Reference 40

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source=pdf_text observed=2026-08-15T21:26:26.135017Z digest=sha256:5677a25f6f35d3933914afda1698f2fa83fd74c93e4b14d948c581d379363f98

Observation 524c06dd-dd01-48d7-bcdd-a50a52f9d647 · outbound

This paper cites Yuan, A monotonicity approach to Pogorelov’s Hessian estimates for Monge-Amp` ere equa- tion, Math.

Pogorelov type interior $C^2$ estimate for Hessian quotient equation and its application Yuan, A monotonicity approach to Pogorelov’s Hessian estimates for Monge-Amp` ere equa- tion, Math

Reference 41

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source=pdf_text observed=2026-08-15T21:26:26.140509Z digest=sha256:9cecdfbc47c609cba30b1ad4e557554881ff302796377d5d7e8646db29ed8c0e

Observation 829733b7-30d1-477a-b041-ca28e6db56b3 · outbound

This paper cites $C^2$ estimates for $k$-Hessian equations and a rigidity theorem.

Pogorelov type interior $C^2$ estimate for Hessian quotient equation and its application $C^2$ estimates for $k$-Hessian equations and a rigidity theorem

Reference 42

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Observation 29612595-ba19-4f5d-8a36-57b63a15bd24 · outbound

This paper cites Zhou, Notes on generalized special Lagrangian equation, Calc.

Pogorelov type interior $C^2$ estimate for Hessian quotient equation and its application Zhou, Notes on generalized special Lagrangian equation, Calc

Reference 43

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raw_fallback, observed 2026-08-15T21:26:26.271609Z

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Pith citing papers

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