Safia Benmansour, Mohammed Bouchekif
Abstract:
This article concerns the existence and the multiplicity of solutions
for nonhomogeneous elliptic Kirchhoff problems involving the critical
Sobolev exponent, defined on a regular bounded domain of
.
Our approach is essentially based on Ekeland's
Variational Principle and the Mountain Pass Lemma.
Submitted December 10, 2014. Published March 24, 2015.
Math Subject Classifications: 35J20, 35J60, 47J30.
Key Words: Variational methods; critical Sobolev exponent;
Nehari manifold; Palais-Smale condition; Kirchhoff equation.
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Safia Benmansour Laboratoire des Syst èmes Dynamiques et Applications Facult é des Sciences Universit é de Tlemcen, BP 119 13000 Tlemcen, Alg érie email: safiabenmansour@hotmail.fr | |
Mohammed Bouchekif Laboratoire des Syst èmes Dynamiques et Applications Facult é des Sciences Universit é de Tlemcen, BP 119 13000 Tlemcen, Alg érie email: m_bouchekif@yahoo.fr |
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