CONSTRAINED RADIAL SYMMETRY FOR MONOTONE ELLIPTIC QUASILINEAR OPERATORS

被引：8

作者：

Greco, Antonio ^{[1
]}

机构：

[1] Univ Cagliari, Dept Math & Informat, I-09124 Cagliari, Italy

来源：

JOURNAL D ANALYSE MATHEMATIQUE | 2013年 / 121卷

关键词：

BOUNDARY-VALUE-PROBLEMS; POTENTIAL THEORY;

D O I：

10.1007/s11854-013-0033-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Some overdetermined problems associated to monotone elliptic quasilinear operators are investigated. A model operator is the p-Laplacian. Assuming that a solution exists, the domain of our problem is shown to be either a ball centered at the origin or an annulus centered at the origin. In the special case of the Laplace equation, a result of approximate radial symmetry is also obtained. Proofs are based on comparisons with radial solutions.

引用

页码：223 / 234

页数：12