Multiple positive solutions of semilinear elliptic boundary value problems in the half space

被引：0

作者：

Hsu, Tsing-san ^{[1
]}

Lin, Huei-li ^{[1
]}

机构：

[1] Chang Gung Univ, Dept Nat Sci, Ctr Gen Educ, Tao Yuan 333, Taiwan

来源：

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

关键词：

Multiple positive solutions; Elliptic boundary value problems; The half space; Category; CONCENTRATION-COMPACTNESS PRINCIPLE; UNBOUNDED-DOMAINS; EXISTENCE; EQUATIONS; CALCULUS;

D O I：

10.1016/j.na.2011.08.034

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove that if Q is a positive continuous function in R(N) and satisfies the suitable conditions, then for sufficiently small lambda > 0, -Delta u + u = Q(z)u(p-1) with the boundary condition u(x, z(N)) = lambda g(x) admits at least three positive solutions in R(+)(N). (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：304 / 316

页数：13

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