Department of Mathematics
Faculty of Sciences, King Abdulaziz University
P.O. Box 80203, Jeddah 21589, Saudi Arabia
email: ramzialsaedi@yahoo.co.uk
Ramzi Alsaedi
Abstract:
We study a class of nonhomogeneous elliptic problems with Dirichlet
boundary condition and involving the p(x)-Laplace operator and
power-type nonlinear terms with variable exponent.
The main results of this articles establish sufficient conditions for
the existence of nontrivial weak solutions, in relationship with the
values of certain real parameters.
The proofs combine the Ekeland variational principle, the mountain pass
theorem and energy arguments.
Submitted September 8, 2016. Published November 16, 2016.
Math Subject Classifications: 35J60, 58E05.
Key Words: Nonhomogeneous elliptic problem; variable exponent;
Dirichlet boundary condition; mountain pass theorem.
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Ramzi Alsaedi Department of Mathematics Faculty of Sciences, King Abdulaziz University P.O. Box 80203, Jeddah 21589, Saudi Arabia email: ramzialsaedi@yahoo.co.uk |
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