一类带有临界Sobolev指标和强奇性项椭圆方程解的存在性  

Existence of Solution for an Elliptic Equation with Strong Singular Item and Critical Sobolev Exponents

作　　者：易刚[1] 

机构地区：[1]华中师范大学数学与统计学院,湖北武汉430079

出　　处：《湖北汽车工业学院学报》2007年第2期78-80,共3页Journal of Hubei University Of Automotive Technology

摘　　要：运用变分方法及Hardy不等式讨论了一类特殊的椭圆方程,证明了在一定条件下方程解的存在性。This paper discusses a class special elliptic equation with strong singular item and critical Sobolev exponents by Variational method in PDE and Hardy inequality. Under certain conditions, the existence of at least one solution about the equation was proved.

关 键 词：临界椭圆方程 HARDY不等式 奇性项 解的存在性 

分 类 号：O174.54[理学—数学]