Existence of solutions for Navier problem involving (p(.), q(.))-Laplacian and (p(.), q(.))-Biharmonic operators

Abstract

In the present paper, we are interested in the study of nonlinear problem driven by (p(.), q(.))-Laplacian and (p(.), q(.))-Biharmonic operators subject to Navier boundary conditions. By means of variational method and critical point theory, we establish the existence of at least one solution and infinitely many solutions under some suitable assumptions.