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

作　　者：Mohammed El Mokhtar Ould El Mokhtar Zeid I. Almuhiameed 

机构地区：[1]Departement of Mathematics, College of Science, Qassim University, Buraidah, Saudi Arabia

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）

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.

关 键 词：Hardy-Sobolev-Maz’ya POTENTIAL Concave Term Sign-Changing WEIGHTS Nehari Manifold Mountain Pass Theorem 

分 类 号：O17[理学—数学]