Email this article On an Elliptic Differential-Difference Equation with Nonsymmetric Shift Operator
- Authors: Solonukha O.V.1
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Affiliations:
- Central Economics and Mathematics Institute of Russian Academy of Sciences
- Issue: Vol 104, No 3-4 (2018)
- Pages: 572-586
- Section: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/151437
- DOI: https://doi.org/10.1134/S0001434618090237
- ID: 151437
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Abstract
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.
About the authors
O. V. Solonukha
Central Economics and Mathematics Institute of Russian Academy of Sciences
Author for correspondence.
Email: solonukha@yandex.ru
Russian Federation, Moscow, 117418
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