带有临界Hardy-Sobolev指数且含多个Hardy奇异项的非齐次椭圆方程解的存在性  

Existence of Solution for Nonhomogeneous Elliptic Equation with Critical Hardy-Sobolev Exponent and Multi-Singular Hardy Terms

作　　者：康东升[1] 刘殊[1] 黄燕[1] 

机构地区：[1]中南民族大学计算机科学学院,武汉430074

出　　处：《中南民族大学学报（自然科学版）》2009年第2期104-108,共5页Journal of South-Central University for Nationalities：Natural Science Edition

基　　金：国家自然科学基金资助项目(10771219);国家民委科研基金资助项自(07ZN03)

摘　　要：运用变分法和Hardy-Sobolev不等式,讨论了一类带有临界指数且含多个Hardy奇异项的非齐次椭圆方程,证明了在一定条件下该方程至少存在一个解.In this paper, a nonhomogeneous elliptic equation,which involves the critical Hardy-Sobolev exponents and multi-singular Hardy terms,is studied. By employing variational method and Hardy-Sobolev inequality,the existence of at least one solution is established under some certain conditions.

关 键 词：非齐次椭圆方程 临界Hardy—Sobolev指数 变分法 

分 类 号：O175.25[理学—数学]