Non-convexity of level sets for $k$-Hessian equations in convex ring
Analysis of PDEs
2024-02-07 v2
Abstract
In this paper we construct explicit examples that show the sublevel sets of the solution of a -Hessian equation defined on a convex ring do not have to be convex.
Cite
@article{arxiv.2401.07373,
title = {Non-convexity of level sets for $k$-Hessian equations in convex ring},
author = {Zhizhang Wang and Ling Xiao},
journal= {arXiv preprint arXiv:2401.07373},
year = {2024}
}