An interior estimate for convex solutions and a rigidity theorem

DOI10.1016/J.JFA.2016.01.008zbMATH Open1341.35055arXiv1504.01206OpenAlexW2963993671MaRDI QIDQ5965168

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Publication date: 2 March 2016

Published in: (Search for Journal in Brave)

Abstract: We establish an interior $C^2$ estimate for $k+1$ convex solutions to Dirichlet problems of $k$-Hessian equations. We also use such estimate to obtain a rigidity theorem for $k+1$ convex entire solutions of $k$-Hessian equations in Euclidean space.

Full work available at URL: https://arxiv.org/abs/1504.01206

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