Symmetry of positive solutions to semilinear elliptic problems in half space

被引：0

作者：

Jang, J ^{[1
]}

机构：

[1] Hankuk Univ Foreign Studies, Dept Math, Yongin Si 449791, Kyungki Do, South Korea

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2002年 / 49卷 / 05期

关键词：

symmetry; semilinear elliptic problem; maximum principle; half space;

D O I：

10.1016/S0362-546X(01)00126-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The symmetry of positive solutions to semilinear elliptic problems in half space was studied. To prove the conjecture in the case where N=2, various forms of maximum principles including the method of moving planes were used. Several variations of maximum principle concerning subsolution and superposition of the problem were collected.

引用

页码：613 / 621

页数：9