On Elliptic Problem with Singular Cylindrical Potential, a Concave Term, and Critical Caffarelli-Kohn-Nirenberg Exponent

Mohammed El Mokhtar Ould El Mokhtar

Department of Mathematics, College of Science, Qassim University, Buraidah, Kingdom of Saudi Arabia.

DOI: 10.4236/am.2015.611166                

Abstract

In this paper, we establish the existence of at least four distinct solutions to an elliptic problem with singular cylindrical potential, a concave term, and critical Caffarelli-Kohn-Nirenberg exponent, by using the Nehari manifold and mountain pass theorem.

Keywords

Singular Cylindrical Potential, Concave Term, Critical Caffarelli-Kohn-Nirenberg Exponent, Nehari Manifold, Mountain Pass Theorem

Conflicts of Interest

The authors declare no conflicts of interest.

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