Nonlinear elliptic anisotropic problem involving non-local boundary conditions with variable exponent and graph data

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Résumé

We study a nonlinear elliptic anisotropic problem involving non-local conditions. We also consider variable exponent and general maximal monotone graph datum at the boundary. We prove the existence and uniqueness of weak solution to the problem

Mots-clés

maximal monotone graph; non-local boundary conditions; variable exponent; Leray-Lions operator