Multivalued anisotropic problem with Robin boundary condition involving diffuse Radon measure data and variable exponents

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Résumé

In this paper we study a nonlinear anisotropic elliptic problem under Robin type boundary condition governed by a general anisotropic operator with variable exponents and diffuse Radon measure data which does not charge the sets of zero p(⋅)-capacity. We prove an existence and uniqueness result of entropy or renormalized solution

Mots-clés

nonlinear elliptic equation; renormalized solution; entropy solution