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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2013, Volume 283, Pages 233–251
DOI: https://doi.org/10.1134/S0371968513040158 (Mi tm3510) 		 
This article is cited in 15 scientific papers (total in 15 papers)

On a class of essentially nonlinear elliptic differential–difference equations

O. V. Solonukha

Central Economics and Mathematics Institute, RAS, Moscow, Russia
Full-text PDF (267 kB) Citations (15)
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DOI: https://doi.org/10.1134/S0371968513040158
Abstract: An essentially nonlinear differential-difference equation containing the product of the $p$-Laplacian and a difference operator is considered. Sufficient conditions are obtained for the corresponding nonlinear differential-difference operator to be coercive and pseudomonotone in the case of nonvariational statement of the differential equation. The existence of a generalized solution to the Dirichlet problem for the nonlinear equation is proved.
Received in September 2012
English version:
Proceedings of the Steklov Institute of Mathematics, 2013, Volume 283, Pages 226–244
DOI: https://doi.org/10.1134/S0081543813080154
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: O. V. Solonukha, “On a class of essentially nonlinear elliptic differential–difference equations”, Function theory and equations of mathematical physics, Collected papers. In commemoration of the 90th anniversary of Lev Dmitrievich Kudryavtsev's birth, Trudy Mat. Inst. Steklova, 283, MAIK Nauka/Interperiodica, Moscow, 2013, 233–251; Proc. Steklov Inst. Math., 283 (2013), 226–244
Citation in format AMSBIB
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    • This publication is cited in the following 15 articles:
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
     
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