A simple proof of curvature estimate for convex solution of k-hessian equation

Jianchun Chu*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

Guan-Ren-Wang [Comm. Pure Appl. Math. 68 (2015), pp. 1287–1325] established the curvature estimate of convex hypersurface satisfying the Weingarten curvature equation σk(κ(X)) = f(X,ν(X)). In this note, we give a simple proof of this result.

Original languageEnglish (US)
Pages (from-to)3541-3552
Number of pages12
JournalProceedings of the American Mathematical Society
Volume149
Issue number8
DOIs
StatePublished - 2021

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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