On the existence of positive solutions for a class of semilinear elliptic equations

被引：15

作者：

Bachar, I ^{[1
]}

Zeddini, N ^{[1
]}

机构：

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

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2003年 / 52卷 / 04期

关键词：

differential operator; existence; nonexistence; entire solutions; large solutions;

D O I：

10.1016/S0362-546X(02)00163-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove some existence and nonexistence results for the semilinear elliptic equation Deltau = q(x)f(u) on Omega subset of or equal to R-n (n greater than or equal to 2) where u is required to blow up on the boundary of Omega and f is a nonnegative function which is assumed to be Lipschitz continuous and bounded away from zero on each interval [epsilon, infinity) and have at worst linear growth. In particular, we extend some results already obtained in the case where f (u) = u(gamma), 0 < gamma < 1. (C) 2002 Elsevier Science Ltd. All rights reserved.

引用

页码：1239 / 1247

页数：9