Entropy solutions to nonlinear elliptic anisotropic problem with variable exponent

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Résumé

The authors establish the existence of an entropy solution for a nonlinear elliptic problem involving a Leray-Lions operator and nonlinear lower terms. The approach relies on anisotropic Sobolev spaces with variable exponent.

Mots-clés

anisotropic Sobolev spaces; variable exponent; nonlinear elliptic problem; entropy solutions