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A NOTE ON INTERIOR C2 ESTIMATE FOR GENERAL HESSIAN QUOTIENT EQUATION

delete2026-03-01
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PRE
AI
S
Siyuan Lu *
T
Tsai, Yi-Lin
DOI:10.3934/cpaa.2026045delete
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Abstract

Abstract

En 中文
In this note, we study the interior C2 regularity problem for the general Hessian quotient equation sigma k sigma l (D2u) = f. Under a concavity assumption, we obtain an interior C2 estimate for convex solutions when l = k-1, k-2. It is known that such estimate fails when l <= k-3.
Keywords:
priori estimates
fully nonlinear equations

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C
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS
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0.9
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mcmaster university
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