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Zapiski Nauchnykh Seminarov POMI, 2004, Volume 318, Pages 5–13 (Mi znsl659)  
This article is cited in 1 scientific paper (total in 1 paper)

On the smoothness of weak solutions of strong-nonlinear nondiagonal elliptic systems (the two-dimensional case)

A. A. Arkhipova

Saint-Petersburg State University
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Abstract: We consider a class of strong-nonlinear elliptic systems with a nondiagonal principal matrix. Weak solvability of the Dirichlet problem for such type systems was earlier proved by the author in the two-dimensional case. The solution constructed was smooth almost everywhere. Here we prove that this solution is a Hölder continuous function in the entire domain.
Received: 12.07.2004
English version:
Journal of Mathematical Sciences (New York), 2006, Volume 136, Issue 2, Pages 3649–3654
DOI: https://doi.org/10.1007/s10958-006-0189-4
Bibliographic databases:
UDC: 517
Language: English
Citation: A. A. Arkhipova, “On the smoothness of weak solutions of strong-nonlinear nondiagonal elliptic systems (the two-dimensional case)”, Boundary-value problems of mathematical physics and related problems of function theory. Part 36, Zap. Nauchn. Sem. POMI, 318, POMI, St. Petersburg, 2004, 5–13; J. Math. Sci. (N. Y.), 136:2 (2006), 3649–3654
Citation in format AMSBIB
\Bibitem{Ark04}
\by A.~A.~Arkhipova
\paper On the smoothness of weak solutions of strong-nonlinear nondiagonal elliptic systems (the two-dimensional case)
\inbook Boundary-value problems of mathematical physics and related problems of function theory. Part~36
\serial Zap. Nauchn. Sem. POMI
\yr 2004
\vol 318
\pages 5--13
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl659}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2120229}
\zmath{https://zbmath.org/?q=an:1136.35349}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2006
\vol 136
\issue 2
\pages 3649--3654
\crossref{https://doi.org/10.1007/s10958-006-0189-4}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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