EXISTENCE OF TWO WEAK SOLUTIONS FOR SOME ELLIPTIC PROBLEMS INVOLVING p(x)-BIHARMONIC OPERATOR.

In this paper, we establish the existence of at least two distinct weak solutions for fourth-order PDEs with variable exponents, subject to Navier boundary conditions in a smooth bounded domain in RN, under a suitable subcritical growth condition with the classical Ambrosetti-Rabinowitz condition. The approach is based on variational methods and critical point theory. [ABSTRACT FROM AUTHOR]