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On the Spectrum of problems involving both p(x)-Laplacian and P(x)-Biharmonic

On the Spectrum of problems involving both p(x)-Laplacian and P(x)-Biharmonic

We prove the existence of at least one non-decreasing sequence of positive eigenvalues for the problem(Ω), Our analysis mainly relies on variational arguments involvingLjusternik-Schnirelmann theory.