Existence of solutions for a nonlinear elliptic equation involving (p(x),q(x))-Laplacian and (p(x),q(x))-biharmonic Operator

In the present paper, we are investigated an elliptic problem concerning (p(x),q(x))-Laplacian and (p(x),q(x))-biharmonic operator under Navier boundary conditions. Under some appropriate conditions, we prove the existence of at least one nontrivial weak solution using the Mountain Pass theorem together with Ambrosetti-Rabinowitz’s Condition (p(x) , mountain pass theorem , Navier boundary problem , Variable exponents , variational methods