Izvestiya: Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. RAN. Ser. Mat.:
Year:
Volume:
Issue:
Page:
Find




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

Izvestiya: Mathematics, 2011, Volume 75, Issue 1, Pages 53–71
DOI: https://doi.org/10.1070/IM2011v075n01ABEH002527 (Mi im3292) 		 
This article is cited in 3 scientific papers (total in 3 papers)

On the decay of solutions of non-uniformly elliptic equations

V. F. Gilimshina, F. Kh. Mukminov

Bashkir State Pedagogical University
English version PDF (335 kB) Citations (3)
References:
PDF
HTML
DOI: https://doi.org/10.1070/IM2011v075n01ABEH002527
Abstract: We obtain upper and lower bounds for the rate of decay at infinity for a solution of a second-order non-uniformly elliptic equation in an unbounded domain with alternating types of boundary condition, both of the first and third types. We prove that the bound for this rate of decay is sharp, both in the case of a rather arbitrary alternation of boundary conditions of the first and third types and in the case of an equation degenerating on the boundary of an unbounded domain.
Keywords: degenerate elliptic equation, rate of decay of solutions, unbounded domain.
Received: 28.07.2008
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2011, Volume 75, Issue 1, Pages 53–70
DOI: https://doi.org/10.4213/im3292
Bibliographic databases:
Document Type: Article
UDC: 517.94
MSC: Primary 35J25; Secondary 35H99, 35J70
Language: English
Original paper language: Russian
Citation: V. F. Gilimshina, F. Kh. Mukminov, “On the decay of solutions of non-uniformly elliptic equations”, Izv. RAN. Ser. Mat., 75:1 (2011), 53–70; Izv. Math., 75:1 (2011), 53–71
Citation in format AMSBIB
\Bibitem{GilMuk11}
\by V.~F.~Gilimshina, F.~Kh.~Mukminov
\paper On the decay of solutions of non-uniformly elliptic equations
\jour Izv. RAN. Ser. Mat.
\yr 2011
\vol 75
\issue 1
\pages 53--70
\mathnet{http://mi.mathnet.ru/im3292}
\crossref{https://doi.org/10.4213/im3292}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2815995}
\zmath{https://zbmath.org/?q=an:1210.35131}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2011IzMat..75...53G}
\elib{https://elibrary.ru/item.asp?id=20358777}
\transl
\jour Izv. Math.
\yr 2011
\vol 75
\issue 1
\pages 53--71
\crossref{https://doi.org/10.1070/IM2011v075n01ABEH002527}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000287579900003}
\elib{https://elibrary.ru/item.asp?id=18007984}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-80053475855}
Linking options:
  • https://www.mathnet.ru/eng/im3292
  • https://doi.org/10.1070/IM2011v075n01ABEH002527
  • https://www.mathnet.ru/eng/im/v75/i1/p53
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:724
    Russian version PDF:219
    English version PDF:28
    References:96
    First page:42
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024