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This article is cited in 5 scientific papers (total in 5 papers)
On an Elliptic Differential-Difference Equation with Nonsymmetric Shift Operator
O. V. Solonukha Central Economics and Mathematics Institute Russian Academy of Sciences, Moscow
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.
Keywords:
essentially nonlinear elliptic functional-differential equation, pseudomonotone operator, accretive operator.
Received: 05.06.2017
Citation:
O. V. Solonukha, “On an Elliptic Differential-Difference Equation with Nonsymmetric Shift Operator”, Mat. Zametki, 104:4 (2018), 604–620; Math. Notes, 104:4 (2018), 572–586
Linking options:
https://www.mathnet.ru/eng/mzm11715https://doi.org/10.4213/mzm11715 https://www.mathnet.ru/eng/mzm/v104/i4/p604
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Abstract page: | 379 | Full-text PDF : | 56 | References: | 53 | First page: | 16 |
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