Author(s)

Mohammed El Mokhtar Ould El Mokhtar, Zeid I. Almuhiameed

Departement of Mathematics, College of Science, Qassim University, Buraidah, Saudi Arabia.

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.

Hardy-Sobolev-Maz’ya Potential, Concave Term, Sign-Changing Weights, Nehari Manifold, Mountain Pass Theorem

Mokhtar, M. and Almuhiameed, Z. (2019) Multiple Solutions for an Elliptic Equation with Hardy-Sobolev Critical Exponent, Hardy-Sobolev-Maz’ya Potential and Sign-Changing Weights. Journal of Applied Mathematics and Physics, 7, 2658-2670. doi: 10.4236/jamp.2019.711181.