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Matematicheskie Zametki, 2018, Volume 104, Issue 4, Pages 604–620
DOI: https://doi.org/10.4213/mzm11715
(Mi mzm11715)
 

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
Full-text PDF (557 kB) Citations (5)
References:
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.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00450
This work was supported by the Russian Foundation for Basic Research under grant 16-01-00450.
Received: 05.06.2017
English version:
Mathematical Notes, 2018, Volume 104, Issue 4, Pages 572–586
DOI: https://doi.org/10.1134/S0001434618090237
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
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
Citation in format AMSBIB
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  • https://doi.org/10.4213/mzm11715
  • https://www.mathnet.ru/eng/mzm/v104/i4/p604
  • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математические заметки Mathematical Notes
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