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Sbornik: Mathematics, 2008, Volume 199, Issue 1, Pages 67–98
DOI: https://doi.org/10.1070/SM2008v199n01ABEH003911 (Mi sm1116) 		 
This article is cited in 14 scientific papers (total in 14 papers)

Homogenization of variational inequalities and equations defined by pseudomonotone operators

G. V. Sandrakov

National Taras Shevchenko University of Kyiv
English version PDF (468 kB) Citations (14)
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DOI: https://doi.org/10.1070/SM2008v199n01ABEH003911
Abstract: Results on the convergence of sequences of solutions of non-linear equations and variational inequalities for obstacle problems are proved. The variational inequalities and equations are defined by a non-linear, pseudomonotone operator of the second order with periodic, rapidly oscillating coefficients and by sequences of functions characterizing the obstacles and the boundary conditions. Two-scale and macroscale (homogenized) limiting problems for such variational inequalities and equations are obtained. Results on the relationship between solutions of these limiting problems are established and sufficient conditions for the uniqueness of solutions are presented.
Bibliography: 25 titles.
Received: 28.06.2005 and 14.09.2007
Russian version:
Matematicheskii Sbornik, 2008, Volume 199, Number 1, Pages 67–100
DOI: https://doi.org/10.4213/sm1116
Bibliographic databases:
UDC: 517.956.8
MSC: 35B27
Language: English
Original paper language: Russian
Citation: G. V. Sandrakov, “Homogenization of variational inequalities and equations defined by pseudomonotone operators”, Mat. Sb., 199:1 (2008), 67–100; Sb. Math., 199:1 (2008), 67–98
Citation in format AMSBIB
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    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник Sbornik: Mathematics
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    Abstract page:562
    Russian version PDF:245
    English version PDF:21
    References:59
    First page:6
     
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