TITLE:
Four Nontrivial Solutions for Kirchhoff Problems with Critical Potential, Critical Exponent and a Concave Term
AUTHORS:
Mohammed El Mokhtar Ould El Mokhtar
KEYWORDS:
Kirchhoff Problems, Critical Potential, Concave term, Nehari Manifold, Mountain Pass Theorem
JOURNAL NAME:
Applied Mathematics,
Vol.6 No.14,
December
30,
2015
ABSTRACT: In this paper, we consider the existence of multiple solutions to the Kirchhoff problems with critical potential, critical exponent and a concave term. Our main tools are the Nehari manifold and mountain pass theorem.