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Mountain pass solution to a class of nonlinear problems involving the p(x)-Laplacian operator

S.H. Rasouli, M. Nategh


In this work, we consider the nonlinear boundary value problem with nonlinear boundary condition. By a direct variational approach and the theory of the variable exponent Sobolev spaces, under growth conditions on the reaction terms, we establish the existence of nontrivial solution.


p(x)-Laplacian; Growth conditions; Mountain pass lemma.

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