TITLE:
On Kirchhoff Problems Involving Critical Exponent and Critical Growth
AUTHORS:
Mohammed El Mokhtar O. El Mokhtar, Zeid I. Almuhiameed
KEYWORDS:
Kirchhoff Equations, Critical Growth, Nehari Manifold, Mountain Pass Theorem
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.7 No.4,
April
12,
2019
ABSTRACT:
In this paper, we establish the existence of multiple solutions to a class of Kirchhoff type equations involving critical exponent, concave term and critical growth. Our main tools are the Nehari manifold and mountain pass theorem.