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.
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页码：25 / 42
页数：18
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