On positive weak solutions for a class of quasilinear elliptic systems

被引：54
|
作者：
Chen, CS [1 ]
机构：
[1] Hohai Univ, Coll Sci, Nanjing 210098, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2005年 / 62卷 / 04期
关键词：
quasilinear elliptic system; positive weak solution; method of sub- and supersolutions;
D O I：
10.1016/j.na.2005.04.007
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the existence and nonexistence of positive weak solution for the quasilinear elliptic system -Delta(p)u = lambda u(alpha)upsilon(gamma), -Delta(q)upsilon = lambda u(delta)upsilon(beta) with zero Dirichlet boundary condition in bounded domain Omega subset of R-N. A critical exponent is obtained for existence and nonexistence of positive weak solution. (c) 2005 Elsevier Ltd. All rights reserved.
引用
收藏
页码：751 / 756
页数：6
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