包含Caffarelli-Kohn-Nirenberg临界指数的非齐次椭圆方程

On Nonhomogeneous Elliptic Equations Involving Caffarelli-Kohn-Nirenberg Critical Exponent

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摘要该文讨论了一类包含Caffarelli-Kohn-Nirenberg临界指数的非齐次椭圆方程解的存在性.应用Nehari流形和变分方法,得到了方程存在两个非平凡解. This paper discusses one nonhomogeneous elliptic equations involving CaffarelliKohn-Nirenberg critical exponent.By Nehari manifold and Variational methods,we prove that the equation has at least two nontrivial solutions.

作者樊自安

机构地区湖北工程学院数学与统计学院

出处《数学物理学报（A辑）》 CSCD 北大核心 2015年第5期884-894,共11页 Acta Mathematica Scientia

基金湖北省教育厅科研计划项目(B2015032)资助

关键词 Caffarelli-Kohn-Nirenberg临界指数非齐次椭圆方程 NEHARI流形非平凡解 Caffarelli-Kohn-Nirenberg critical exponent Nonhomogeneous elliptic equations Nehari manifold Nontrivial

分类号 O175.2 [理学—基础数学]

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包含Caffarelli-Kohn-Nirenberg临界指数的非齐次椭圆方程

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