TITLE:
On Elliptic Problem with Singular Cylindrical Potential, a Concave Term, and Critical Caffarelli-Kohn-Nirenberg Exponent
AUTHORS:
Mohammed El Mokhtar Ould El Mokhtar
KEYWORDS:
Singular Cylindrical Potential, Concave Term, Critical Caffarelli-Kohn-Nirenberg Exponent, Nehari Manifold, Mountain Pass Theorem
JOURNAL NAME:
Applied Mathematics,
Vol.6 No.11,
October
27,
2015
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.