Superharmonicity of curvature function for the convex level sets of harmonic functions

被引：6

作者：

Ma, Xi-Nan ^{[1
]}

Zhang, Wei ^{[2
]}

机构：

[1] Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Anhui, Peoples R China

[2] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China

来源：

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2021年 / 60卷 / 04期

基金：

中国国家自然科学基金;

关键词：

GAUSSIAN CURVATURE; QUASICONCAVE SOLUTIONS; ELLIPTIC PROBLEMS; CONCAVITY; DIRICHLET; EQUATION; DOMAINS; CURVES; RINGS;

D O I：

10.1007/s00526-021-02023-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that the combination of the norm of gradient and the Gaussian curvature for the convex level sets of harmonic function is superharmonic.

引用

页数：12

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