Existence and nonexistence of solutions for quasilinear elliptic systems

被引：1

作者：

Wei, Lei ^{[1
]}

Feng, Zhaosheng ^{[2
]}

机构：

[1] Jiangsu Normal Univ, Sch Math Sci, Xuzhou 221116, Peoples R China

[2] Univ Texas Pan Amer, Dept Math, Edinburg, TX 78539 USA

来源：

DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS | 2013年 / 10卷 / 01期

关键词：

Eigenvalue; positive solutions; topological degree; quasilinear elliptic system; a priori estimates; P-LAPLACIAN; REGULARITY; EQUATIONS; MULTIPLICITY; OPERATORS; SYMMETRY;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we are concerned with positive solutions of quasi-linear elliptic systems with the homogeneous Dirichlet boundary condition. In the case of alpha beta > (p - 1) (q - 1) under certain conditions we show that there exists lambda* > 0 such that for any lambda is an element of (0, lambda*) the boundary value problem has at least two positive solutions. In the case of alpha beta < (p - 1) (q - 1) we establish a priori estimates and the existence of positive solutions.

引用

页码：25 / 42

页数：18

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