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Zapiski Nauchnykh Seminarov LOMI, 1982, Volume 115, Pages 274–284 (Mi znsl4059)  
This article is cited in 1 scientific paper (total in 1 paper)

Estimates for the maxima of the moduli of the gradients for solutions of capillarity problems

N. N. Ural'tseva
Full-text PDF (453 kB) Citations (1)
Abstract: One establishes a priori estimates for the maxima of the moduli of the gradients of the solutions for a class of nonlinear boundary-value problems, related to the description of capillarity phenomena. The variational formulation of such problems consists in the minimization of the energy functional of the fluid in the capillary tube, representing a cylinder in a curvilinear system of coordinates, in which the metric tensor has a special structure.
English version:
Journal of Soviet Mathematics, 1985, Volume 28, Issue 5, Pages 806–813
DOI: https://doi.org/10.1007/BF02112347
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: N. N. Ural'tseva, “Estimates for the maxima of the moduli of the gradients for solutions of capillarity problems”, Boundary-value problems of mathematical physics and related problems of function theory. Part 14, Zap. Nauchn. Sem. LOMI, 115, "Nauka", Leningrad. Otdel., Leningrad, 1982, 274–284; J. Soviet Math., 28:5 (1985), 806–813
Citation in format AMSBIB
\Bibitem{Ura82}
\by N.~N.~Ural'tseva
\paper Estimates for the maxima of the moduli of the gradients for solutions of capillarity problems
\inbook Boundary-value problems of mathematical physics and related problems of function theory. Part~14
\serial Zap. Nauchn. Sem. LOMI
\yr 1982
\vol 115
\pages 274--284
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl4059}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=660089}
\zmath{https://zbmath.org/?q=an:0494.49035}
\transl
\jour J. Soviet Math.
\yr 1985
\vol 28
\issue 5
\pages 806--813
\crossref{https://doi.org/10.1007/BF02112347}
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  • https://www.mathnet.ru/eng/znsl/v115/p274
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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