On the existence of positive solutions for some nonlinear elliptic problems in unbounded domain in R2

被引：4

作者：

Masmoudi, S ^{[1
]}

机构：

[1] Fac Sci Tunis, Dept Math, Tunis 1060, Tunisia

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2005年 / 62卷 / 03期

关键词：

singular elliptic equation; green function; positive solution;

D O I：

10.1016/j.na.2005.03.026

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We are interested in the following nonlinear elliptic equation Delta u + u phi(., u) = 0 in D, where D is a smooth unbounded domain in R-2. Under appropriate conditions on the nonlinearity phi(x, t), related to a certain Kato class, we give some existence results and asymptotic behavior for positive solutions of the above equation. (c) 2005 Elsevier Ltd. All rights reserved.

引用

页码：397 / 415

页数：19

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