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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 被引量：1

Existence of Solution for Nonhomogeneous Elliptic Equation with Critical Hardy-Sobolev Exponent and Multi-Singular Hardy Terms
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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.
作者 康东升 刘殊 黄燕
机构地区 中南民族大学计算机科学学院
出处 《中南民族大学学报（自然科学版）》 CAS 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)
关键词 非齐次椭圆方程 临界Hardy—Sobolev指数 变分法 nonhomogeneous elliptic equation critical Hardy-Sobolev exponent variational method
分类号 O175.25 [理学—基础数学]
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参考文献18

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中南民族大学学报（自然科学版）
2009年 第2期

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