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Sibirskii Matematicheskii Zhurnal, 2012, Volume 53, Number 1, Pages 205–212 (Mi smj2299)  
This article is cited in 4 scientific papers (total in 4 papers)

On a class of elliptic variational inequalities with a spectral parameter and discontinuous nonlinearity

D. K. Potapov

St. Petersburg State University, Faculty of Applied Mathematics and Control Processes, St. Petersburg
Full-text PDF (278 kB) Citations (4)
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Abstract: We consider coercive second order elliptic variational inequalities with a spectral parameter and discontinuous nonlinearity. Using the variational method, we establish solvability of these problems and apply the results to the Goldshtik problem.
Keywords: variational inequality, discontinuous nonlinearity, spectral parameter, variational method, Goldshtik problem.
Received: 11.11.2010
English version:
Siberian Mathematical Journal, 2012, Volume 53, Issue 1, Pages 168–173
DOI: https://doi.org/10.1134/S0037446612010144
Bibliographic databases:
Document Type: Article
UDC: 517.956
Language: Russian
Citation: D. K. Potapov, “On a class of elliptic variational inequalities with a spectral parameter and discontinuous nonlinearity”, Sibirsk. Mat. Zh., 53:1 (2012), 205–212; Siberian Math. J., 53:1 (2012), 168–173
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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