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带有临界Sobolev指数的椭圆方程组的解

Solutions to the Elliptic Systems Involving Critical Sobolev Exponents
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摘要 研究了一类带有临界Sobolev指数和Hardy项的椭圆方程组,运用变分方法,证明了在一定条件下椭圆方程组非负解的存在性. In this paper,a singular elliptic system is investigated,which involves the critical Sobolev exponents and Hardy-type terms.Employing the variational methods,the existence of nonnegative solutions to the system is proved.
作者 康东升 杨芬 沈小凤
机构地区 中南民族大学数学与统计学学院
出处 《中南民族大学学报（自然科学版）》 CAS 2011年第1期101-104,共4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)
关键词 椭圆方程组 临界指数 HARDY不等式 非负解 变分方法 elliptic system critical exponent Hardy inequality nonnegative solution variational method
分类号 O175.25 [理学—基础数学]
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参考文献8

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二级参考文献16

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共引文献8

中南民族大学学报（自然科学版）
2011年 第1期

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