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In this work we investigate a class ofnonlinear p(x) Laplace problems with Neumann nonhomoge-neous boundary conditions and L1 data. The techniques of entropy solutions for elliptic equationsare used to prove the existence of a solution.

ENTROPY SOLUTIONS FOR NONLINEAR NONHOMOGENEOUS NEUMANN PROBLEMS INVOLVING THE GENERALIZED <i>P</i>(<i>X</i>)-LAPLACE OPERATOR