Isoperimetry and the properness of weak inverse mean curvature flow

被引：0

作者：

Xu, Kai ^{[1
]}

机构：

[1] Duke Univ, Dept Math, Durham, NC 27708 USA

来源：

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2024年 / 63卷 / 08期

关键词：

53E10; 49Q20; RIEMANNIAN PENROSE INEQUALITY; HYPERSURFACES; MANIFOLDS;

D O I：

10.1007/s00526-024-02832-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove a new existence theorem for proper solutions of Huisken and Ilmanen's weak inverse mean curvature flow, assuming certain non-degeneracy conditions on the isoperimetric profile. In particular, no curvature assumption is imposed in our existence theorem.

引用

页数：19

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