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Sibirskii Matematicheskii Zhurnal, 2009, Volume 50, Number 2, Pages 430–445 (Mi smj1970)  
This article is cited in 26 scientific papers (total in 26 papers)

Asymptotics of the energy functional for a fourth-order mixed boundary value problem in a domain with a cut

E. M. Rudoy

M. A. Lavrent'ev Institute of Hydrodynamics
Full-text PDF (328 kB) Citations (26)
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Abstract: We study a fourth-order elliptic equation in a domain with a curvilinear cut. There are unilateral constraints for the solution on the cut. Considering rather general sufficiently smooth perturbations of the domain, we study the asymptotics of the energy functional. We deduce a formula for the derivative of the energy functional with respect to the perturbation parameter of the domain.
Keywords: unilateral constraints, nonsmooth domain, cut, variational inequality, energy functional.
Received: 13.10.2007
Revised: 18.03.2008
English version:
Siberian Mathematical Journal, 2009, Volume 50, Issue 2, Pages 341–354
DOI: https://doi.org/10.1007/s11202-009-0039-y
Bibliographic databases:
UDC: 517.946
Language: Russian
Citation: E. M. Rudoy, “Asymptotics of the energy functional for a fourth-order mixed boundary value problem in a domain with a cut”, Sibirsk. Mat. Zh., 50:2 (2009), 430–445; Siberian Math. J., 50:2 (2009), 341–354
Citation in format AMSBIB
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\issue 2
\pages 430--445
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\pages 341--354
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    • This publication is cited in the following 26 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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    References:92
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