Multiple Solutions for an Elliptic Equation with Hardy-Sobolev Critical Exponent, Hardy-Sobolev-Maz’ya Potential and Sign-Changing Weights

Multiple Solutions for an Elliptic Equation with Hardy-Sobolev Critical Exponent, Hardy-Sobolev-Maz’ya Potential and Sign-Changing Weights

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摘要 In the present paper, an elliptic equation with Hardy-Sobolev critical exponent, Hardy-Sobolev-Maz’ya potential and sign-changing weights, is considered. By using the Nehari manifold and mountain pass theorem, the existence of at least four distinct solutions is obtained. In the present paper, an elliptic equation with Hardy-Sobolev critical exponent, Hardy-Sobolev-Maz’ya potential and sign-changing weights, is considered. By using the Nehari manifold and mountain pass theorem, the existence of at least four distinct solutions is obtained.

作者 Mohammed El Mokhtar Ould El Mokhtar Zeid I. Almuhiameed

机构地区 Departement of Mathematics

出处《Journal of Applied Mathematics and Physics》 2019年第11期2658-2670,共13页 应用数学与应用物理（英文）

关键词 Hardy-Sobolev-Maz’ya POTENTIAL Concave Term Sign-Changing WEIGHTS Nehari Manifold Mountain Pass Theorem Hardy-Sobolev-Maz’ya Potential Concave Term Sign-Changing Weights Nehari Manifold Mountain Pass Theorem

分类号 O17 [理学—基础数学]

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Journal of Applied Mathematics and Physics

2019年第11期

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Multiple Solutions for an Elliptic Equation with Hardy-Sobolev Critical Exponent, Hardy-Sobolev-Maz’ya Potential and Sign-Changing Weights

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