Time periodic solutions for strongly nonlinear parabolic systems with p(x)-growth conditions
Abderrahim CHARKAOUI,
Hamza Alaa,
Nour Eddine Alaa
Abstract:We study a class of nonlinear periodic systems driven by general
differential operators with variable exponent. We assume that the
reactions contains p(x)-growth nonlinearities with respect to the
gradients. By using Leray Schauder’s topological degree combined with
the sub- and super-solutions method, we establish the existence and
uniqueness results of weak periodic solutions to the studied systems.
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