Zapiski Nauchnykh Seminarov POMI
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zap. Nauchn. Sem. POMI:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Zapiski Nauchnykh Seminarov POMI, 2003, Volume 295, Pages 5–17 (Mi znsl1247)  
This article is cited in 4 scientific papers (total in 4 papers)

Solvability of nondiagonal elliptic systems with quadratic growth nonlinearities (two-dimensional case)

A. A. Arkhipova

Saint-Petersburg State University
Full-text PDF (238 kB) Citations (4)
References:
PDF
HTML
Abstract: Existence of a weak solution of the Dirichlet problem to nondiagonal elliptic systems with quadratic growth nonlinearities is proved in the two-dimensional case. It is established that the solution is smooth in the closure of a given domain with exception of at most finitely many points. The result is essentially based upon the theorem on “quasireverse” Hölder inequalities earlier proved by the author.
Received: 10.11.2002
English version:
Journal of Mathematical Sciences (New York), 2005, Volume 127, Issue 2, Pages 1821–1827
DOI: https://doi.org/10.1007/s10958-005-0144-9
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: A. A. Arkhipova, “Solvability of nondiagonal elliptic systems with quadratic growth nonlinearities (two-dimensional case)”, Boundary-value problems of mathematical physics and related problems of function theory. Part 33, Zap. Nauchn. Sem. POMI, 295, POMI, St. Petersburg, 2003, 5–17; J. Math. Sci. (N. Y.), 127:2 (2005), 1821–1827
Citation in format AMSBIB
\Bibitem{Ark03}
\by A.~A.~Arkhipova
\paper Solvability of nondiagonal elliptic systems with quadratic growth nonlinearities (two-dimensional case)
\inbook Boundary-value problems of mathematical physics and related problems of function theory. Part~33
\serial Zap. Nauchn. Sem. POMI
\yr 2003
\vol 295
\pages 5--17
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1247}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1975585}
\zmath{https://zbmath.org/?q=an:1073.35081}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2005
\vol 127
\issue 2
\pages 1821--1827
\crossref{https://doi.org/10.1007/s10958-005-0144-9}
Linking options:
  • https://www.mathnet.ru/eng/znsl1247
  • https://www.mathnet.ru/eng/znsl/v295/p5
    • 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
    		Записки научных семинаров ПОМИ
    Statistics & downloads:
    Abstract page:273
    Full-text PDF :71
    References:64
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024