Non-convexity of level sets for k-Hessian equations in convex ring

2024/01/14 by Wang, Zhizhang, Xiao, Ling
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2401.07373

Abstract

In this paper we construct explicit examples that show the sublevel sets of the solution of a k-Hessian equation defined on a convex ring do not have to be convex.

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