On the Symmetry of Solutions to a k-Hessian Type Equation

被引：1

作者：

Brandolini, Barbara ^{[1
]}

机构：

[1] Univ Naples Federico II, Dipartimento Matemat & Applicaz R Caccioppoli, I-80126 Naples, Italy

来源：

ADVANCED NONLINEAR STUDIES | 2013年 / 13卷 / 02期

关键词：

Symmetry; Hessian equations; ELLIPTIC-EQUATIONS; EIGENFUNCTIONS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this note we prove that if u is a negative solution to a nonlinear elliptic equation involving a Hessian operator, and u is zero on the boundary of a ball, then u is radially symmetric and increasing along the radii.

引用

页码：487 / 493

页数：7

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