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

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

  • 期刊论文

  • 发表日期：

    2025年3月14日

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  • Zhizhang Wang,
  • Ling Xiao

摘要

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.