具有奇异项的拟线性椭圆型方程组无穷多弱解的存在性(英文)  

On the Existence of Infinitely Many Weak Solutions for Some Quasi-Linear Elliptic Systems Involving Singular Terms

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2期304-312,共9页Mathematica Applicata

基　　金：SupportedbyNSFC(10271077)

摘　　要：本文在一定条件下讨论了一类具有奇异项的,被两个pLaplacian算子控制的拟线性椭圆型方程组Dirichlet问题无穷多弱解的存在性.In this paper,we study the existence of infinitely many weak solutions to quasi-linear elliptic systems governed by two p- Laplacian operators,involving the singular terms under some conditions.

关 键 词：拟线性椭圆型方程组 Sobolev—Hardy不等式 临界SOBOLEV指标 Palais—Smale条件 

分 类 号：O175.25[理学—数学]