Singular boundary value problems for the p-Laplacian

被引：10

作者：

Hai, D. D. ^{[1
]}

机构：

[1] Mississippi State Univ, Dept Math, Mississippi State, MS 39762 USA

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2010年 / 73卷 / 09期

关键词：

p-Laplace; Singular BVP; Positive solutions; QUASILINEAR ELLIPTIC-EQUATIONS; POSITIVE SOLUTIONS; EXISTENCE; SOBOLEV;

D O I：

10.1016/j.na.2010.06.037

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the existence of a large positive solution for the boundary value problems {-Delta(p)u = lambda(-h(u) + g(x, u)) in Omega, u = 0 on partial derivative Omega, where Delta(p)u = div(vertical bar del u vertical bar(p-2)del u), p > 1, Omega is a bounded domain in R(N), lambda is a positive parameter, g(x, .) is (p - 1)-subhomogeneous at infinity, and h is allowed to become infinity at u = 0. Results for related systems are also discussed (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：2876 / 2881

页数：6

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