On entropy solutions of anisotropic elliptic equations with variable nonlinearity indices

L. M. Kozhevnikova

Contemporary Mathematics. Fundamental Directions, Differential and functional differential equations, Tome 63 (2017) no. 3, pp. 475-493.

Résumé

For a certain class of second-order anisotropic elliptic equations with variable nonlinearity indices and $L_1$ right-hand side we consider the Dirichlet problem in arbitrary unbounded domains. We prove the existence and uniqueness of entropy solutions in anisotropic Sobolev spaces with variable indices.

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