TITLE:
Multiple Solutions for an Elliptic Equation with Hardy-Sobolev Critical Exponent, Hardy-Sobolev-Maz’ya Potential and Sign-Changing Weights
AUTHORS:
Mohammed El Mokhtar Ould El Mokhtar, Zeid I. Almuhiameed
KEYWORDS:
Hardy-Sobolev-Maz’ya Potential, Concave Term, Sign-Changing Weights, Nehari Manifold, Mountain Pass Theorem
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.7 No.11,
November
5,
2019
ABSTRACT: 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.