Journal of Mathematical Sciences: Advances and Applications
LAPLACIAN SYSTEMSAuthor's: Abdelaziz Ahammou and Khalid Iskafi
Pages: [153] - [170]
Received Date: December 2, 2008; Revised February 8, 20
Submitted by:
In this paper, we are concerned with the existence of multiple
positive ground state solutions to the following system, involving
critical Sobolev exponents
where 
and 
verify some conditions. We show that our
problem has at least two positive solutions with negative and positive
energy, respectively.
By the Mountain-Pass geometry and the Ekeland variational principle,
we look for Palais-Smale sequences to establish the existence of
critical points for a functional associated to the problem in
question.
p-Laplacian operator, Ekeland variational principle, Mountain-Pass geometry, Palais-Smale sequences.
