一类带Hardy项和Sobolev临界项的椭圆方程组变号解  

Existence of Sign-Changing Solutions for a Kind of Elliptic Systems Involving Hardy Terms and Critical Sobolev Terms

作　　者：康东升[1] 余双[1] 魏巧玲[1] 

机构地区：[1]中南民族大学数学与统计学学院,武汉430074

出　　处：《中南民族大学学报（自然科学版）》2010年第3期100-103,108,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目(07ZN03)

摘　　要：研究了一类带Hardy项和Sobolev临界项的椭圆方程组,在集合-F上建立极小化序列及其紧性,当参数μ,ai满足一定条件时,运用变分法和分析技巧证明了变号解的存在性.A kind of elliptic systems involving Hardy terms and the critical Sobolev exponents is studied.The minimization sequence and its compactness are established in the set F-,by using the variational method and analytic techniques,the existence of sign-changing solutions is obtained for suitable positive parameters μ,ai.

关 键 词：变号解 紧性 Sobolev临界项 Hardy项 

分 类 号：O175.25[理学—数学]