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In this paper, we establish the existence of at least three solutions to a boundary problem involving the p(x)-biharmonic operator. Our technical approach is based on theorem obtained by B. Ricceri's variational principle and local mountain pass theorem without (Palais-Smale) condition.

In this article, we study the following (p(x), q(x))-biharmonic type systemWe prove the existence of infinitely many solutions of the problem by applying a general variational principle due to B. Ricceri and the theory of the variable exponent Sobolev spaces.

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