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Zapiski Nauchnykh Seminarov POMI, 2000, Volume 271, Pages 11–38 (Mi znsl1345)  
This article is cited in 4 scientific papers (total in 4 papers)

Quasilinear two-phase Venttsel problems

D. E. Apushkinskaya, A. I. Nazarov

Saint-Petersburg State University
Full-text PDF (318 kB) Citations (4)
Abstract: A majorant of the Hölder norms is established for solutions of the two-phase quasilinear parabolic (elliptic) boundary value problems with degenerate and nondegenerate Venttsel interface conditions. In addition, gradient estimates for solutions of the two-phase quasilinear nondegenerate Venttsel problems as well as the solvability results in Sobolev and Hölder spaces are obtained.
Received: 19.02.2000
English version:
Journal of Mathematical Sciences (New York), 2003, Volume 115, Issue 6, Pages 2704–2719
DOI: https://doi.org/10.1023/A:1023305432516
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: D. E. Apushkinskaya, A. I. Nazarov, “Quasilinear two-phase Venttsel problems”, Boundary-value problems of mathematical physics and related problems of function theory. Part 31, Zap. Nauchn. Sem. POMI, 271, POMI, St. Petersburg, 2000, 11–38; J. Math. Sci. (N. Y.), 115:6 (2003), 2704–2719
Citation in format AMSBIB
\Bibitem{ApuNaz00}
\by D.~E.~Apushkinskaya, A.~I.~Nazarov
\paper Quasilinear two-phase Venttsel problems
\inbook Boundary-value problems of mathematical physics and related problems of function theory. Part~31
\serial Zap. Nauchn. Sem. POMI
\yr 2000
\vol 271
\pages 11--38
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1345}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1810606}
\zmath{https://zbmath.org/?q=an:1031.35036}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2003
\vol 115
\issue 6
\pages 2704--2719
\crossref{https://doi.org/10.1023/A:1023305432516}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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