一类缺乏紧性的拟线性椭圆型方程组多重弱解的存在性(英文)  

Existence of Multiple Solutions for Some Quasi-linear Elliptic Systems with Lack of Compactness

作　　者：胡业新[1] 

机构地区：[1]上海财经大学应用数学系,上海200433

出　　处：《应用数学》2006年第3期531-538,共8页Mathematica Applicata

基　　金：Supported by National Natural Science Foundation of China (10271077)

摘　　要：本文在一定条件下讨论了一类被两个p-Laplacian算子控制的拟线性椭圆型方程组Dirichlet问题多重弱解的存在性.We study the existence of multiple solutions for the quasilinear elliptic systems governed by two p- Laplacian operators involving the critical Sobolev exponents under some conditions.

关 键 词：拟线性椭圆型方程组 临界SOBOLEV指标 (PS)c序列 

分 类 号：O175.25[理学—数学]