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
• 来源期刊: 应用数学与应用物理(英文)
• 学科: 数学
• 关键词: Hardy-Sobolev-Maz’ya POTENTIAL Concave Term Sign-Changing WEIGHTS Nehari Manifold Mountain Pass Theorem
• 年，卷（期）: 2019,（11）
• 页码范围: 2658-2670
• 页数: 13页
• 分类号: O17

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.