带有齐次函数和临界指数的椭圆方程组的研究  

On Systems of Elliptic Equations Involving Critical Exponents and Homogeneous Function

作　　者：康东升[1] 张微微[1] 吴红[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）》2013年第3期98-103,共6页Journal of South-Central University for Nationalities：Natural Science Edition

基　　金：国家民委科研基金资助项目(12ZNZ004);中南民族大学创新基金资助项目(2013sycxjj089)

摘　　要：对带有齐次函数和临界指数的拟线性方程组进行了研究,利用变分方法和分析技巧,证明了此椭圆方程组无穷解的存在性,此结果对电力生产及管理有着十分重要的理论指导意义和实际应用价值,为控制系统设计、分析和计算都可提供重要的理论依据.In this paper, a system of elliptic equations involving critical exponents and homogeneous function is investigated. By variational methods and analytic techniques, the existence of infinitely solutions to the system is established. It has very important theoretical significance and practical value for electric power production and management, and can provide some important theoretical basis to the control system design, analysis and calculation.

关 键 词：椭圆方程组 临界指数 变分方法 

分 类 号：O175.25[理学—数学]