Contemporary Mathematics. Fundamental Directions
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
Publishing Ethics

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


CMFD:
Year:
Volume:
Issue:
Page:
Find




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

Contemporary Mathematics. Fundamental Directions, 2006, Volume 16, Pages 47–67 (Mi cmfd48)  
This article is cited in 5 scientific papers (total in 5 papers)

A priori properties of solutions of nonlinear equations with degenerate coercivity and $L^1$-data

A. A. Kovalevsky

Institute of Applied Mathematics and Mechanics, Ukraine National Academy of Sciences
Full-text PDF (250 kB) Citations (5)
References:
PDF
HTML
Abstract: A Dirichlet problem for a second-order nonlinear elliptic equation in the general divergent form with a right-hand side from $L^1$ is considered. The high-order coefficients in the equation are supposed to satisfy the degenerate coercivity condition. The main results concern a priori properties of summability and some estimates of entropy solutions of this problem.
English version:
Journal of Mathematical Sciences, 2008, Volume 149, Issue 5, Pages 1517–1538
DOI: https://doi.org/10.1007/s10958-008-0080-6
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: A. A. Kovalevsky, “A priori properties of solutions of nonlinear equations with degenerate coercivity and $L^1$-data”, Proceedings of the Fourth International Conference on Differential and Functional-Differential Equations (Moscow, August 14–21, 2005). Part 2, CMFD, 16, PFUR, M., 2006, 47–67; Journal of Mathematical Sciences, 149:5 (2008), 1517–1538
Citation in format AMSBIB
\Bibitem{Kov06}
\by A.~A.~Kovalevsky
\paper A priori properties of solutions of nonlinear equations with degenerate coercivity and $L^1$-data
\inbook Proceedings of the Fourth International Conference on Differential and Functional-Differential Equations (Moscow, August 14--21, 2005). Part~2
\serial CMFD
\yr 2006
\vol 16
\pages 47--67
\publ PFUR
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd48}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2336445}
\transl
\jour Journal of Mathematical Sciences
\yr 2008
\vol 149
\issue 5
\pages 1517--1538
\crossref{https://doi.org/10.1007/s10958-008-0080-6}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84920755446}
Linking options:
  • https://www.mathnet.ru/eng/cmfd48
  • https://www.mathnet.ru/eng/cmfd/v16/p47
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Современная математика. Фундаментальные направления
    Statistics & downloads:
    Abstract page:311
    Full-text PDF :104
    References:47
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024