On an Elliptic Differential-Difference Equation with Nonsymmetric Shift Operator


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Resumo

An essentially nonlinear equation containing the product of the p-Laplacian and a nonsymmetric difference operator is considered. Sufficient conditions guaranteeing the coercivity and pseudomonotonicity of the corresponding nonlinear difference-differential operator are obtained. The existence of a generalized solution of the Dirichlet problem for the nonlinear equation under consideration is proved.

Sobre autores

O. Solonukha

Central Economics and Mathematics Institute of Russian Academy of Sciences

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Email: solonukha@yandex.ru
Rússia, Moscow, 117418

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