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arXiv · 2401.07373

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

Zhizhang Wang·Ling Xiao
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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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Zhizhang Wang, Ling Xiao. 2024-01-14. Non-convexity of level sets for $k$-Hessian equations in convex ring. https://arxiv.org/abs/2401.07373

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