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.
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页码：103 / 116
页数：14
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