Entropy solutions for some elliptic problems involving the genralized p(u)-Laplacian operator.

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Résumé

In this paper, we study the existence of entropy solutions for some generalized el- liptic p(u)-Laplacian problem when p(u) is a local quantity. We get the results by assuming the right-hand side function f to be an integrable function, and by using the regularization approach combined with the theory of Sobolev spaces with variable exponents

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