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

页码：751 / 756

页数：6

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