On a generalized p(x)-biharmonic problem with two nonlocal terms

Using variational methods, we obtain in this paper, the multiplicity of nontrivial weak solutions for a class of generalized p(x)-biharmonic problem involving two nonlocal terms and two real parameters \(\lambda \) $\lambda$ , \(\mu \) $\mu$ with indefinite weight under no flux boundary condition. The novelty here can be seen as a generalization and continuation to some existing results.