带有Hardy-Sobolev临界指数的椭圆型方程解的存在性

Existence of Solutions for Elliptic Equations with Hardy-Sobolev Critical Exponents

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摘要研究带有Hardy项和Hardy-Sobolev临界指数项的奇异型椭圆型方程解的存在性,在某些确定的条件下,运用Hardy不等式,Hardy-Sobolev不等式以及变分理论中的山路引理证明了非平凡解的存在性。 The existence of solutions of a singular elliptic equation with Hardy term and Hardy-Sobolev critical exponents is studied.Under certain conditions,the existence of nontrivial solutions is proved by using Hardy inequality,Hardy-Sobolev inequality and Mountain Pass Lemma in variational theory.

作者杨帆王琳琳 YANG Fan;WANG Linlin(School of Mathematics and Statistics Science,Ludong University,Yantai 264039,China)

机构地区鲁东大学数学与统计科学学院

出处《烟台大学学报（自然科学与工程版）》 CAS 2023年第4期393-398,共6页 Journal of Yantai University(Natural Science and Engineering Edition)

基金国家自然科学基金资助项目(11201213)。

关键词椭圆型方程解的存在性山路引理 elliptic equation existence of solutions Mountain Pass Lemma

分类号 O175.2 [理学—基础数学]

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共引文献12

1邓志颖,黄毅生.具Hardy-Sobolev临界指数的非齐次椭圆方程的正解[J].应用数学学报,2009,32(6):1104-1122. 被引量：1
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烟台大学学报（自然科学与工程版）

2023年第4期

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带有Hardy-Sobolev临界指数的椭圆型方程解的存在性

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