Radial solutions for a prescribed mean curvature equation with exponential nonlinearity

被引：10

作者：

Pan, Hongjing ^{[2
]}

Xing, Ruixiang ^{[1
]}

机构：

[1] Sun Yat Sen Univ, Sch Math & Computat Sci, Guangzhou 510275, Guangdong, Peoples R China

[2] S China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2012年 / 75卷 / 01期

关键词：

Gelfand problem; Prescribed mean curvature equation; Time map; Topological degree; Radial solution; Exponential nonlinearity; LINEAR ELLIPTIC-EQUATIONS; POSITIVE SOLUTIONS; TIME MAPS; EXISTENCE; OPERATORS;

D O I：

10.1016/j.na.2011.08.010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish an existence result for radial solutions for a prescribed mean curvature equation with exponential nonlinearity. Our methods are based on degree theory combined with a time map analysis. We also obtain two nonexistence results for positive solutions for more general f; one of them is not limited to radial solutions. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：103 / 116

页数：14

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