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

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Sb.:
Year:
Volume:
Issue:
Page:
Find




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

Sbornik: Mathematics, 2019, Volume 210, Issue 1, Pages 145–164
DOI: https://doi.org/10.1070/SM9019 (Mi sm9019) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Galerkin approximations for the Dirichlet problem with the $p(x)$-Laplacian

S. E. Pastukhovaa, D. A. Yakubovichb

a MIREA — Russian Technological University, Moscow, Russia
b Vladimir State University named after Alexander and Nikolay Stoletovs, Vladimir, Russia
English version PDF (590 kB) Citations (2)
References:
PDF
HTML
DOI: https://doi.org/10.1070/SM9019
Abstract: We study the Dirichlet problem with $p(\,\cdot\,)$-Laplacian in a bounded domain, where $p(\,\cdot\,)$ is a measurable function whose range is bounded away from $1$ and $\infty$. A system of Galerkin approximations is constructed for the so-called $H$-solution or any other variational solution, and energy norm error estimates are proved.
References: 19 items.
Keywords: Galerkin approximants, equations with variable order of nonlinearity, approximation error estimate.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 1.3270.2017/4.6
This research was supported by the Ministry of Education and Science of the Russian Federation (project no. 1.3270.2017/4.6).
Received: 16.10.2017 and 19.05.2018
Russian version:
Matematicheskii Sbornik, 2019, Volume 210, Number 1, Pages 155–174
DOI: https://doi.org/10.4213/sm9019
Bibliographic databases:
Document Type: Article
UDC: 517.956.25+517.956.8
MSC: 35J92
Language: English
Original paper language: Russian
Citation: S. E. Pastukhova, D. A. Yakubovich, “Galerkin approximations for the Dirichlet problem with the $p(x)$-Laplacian”, Mat. Sb., 210:1 (2019), 155–174; Sb. Math., 210:1 (2019), 145–164
Citation in format AMSBIB
\Bibitem{PasYak19}
\by S.~E.~Pastukhova, D.~A.~Yakubovich
\paper Galerkin approximations for the Dirichlet problem with the $p(x)$-Laplacian
\jour Mat. Sb.
\yr 2019
\vol 210
\issue 1
\pages 155--174
\mathnet{http://mi.mathnet.ru/sm9019}
\crossref{https://doi.org/10.4213/sm9019}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3894482}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2019SbMat.210..145P}
\elib{https://elibrary.ru/item.asp?id=36603918}
\transl
\jour Sb. Math.
\yr 2019
\vol 210
\issue 1
\pages 145--164
\crossref{https://doi.org/10.1070/SM9019}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000462302200005}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85066271363}
Linking options:
  • https://www.mathnet.ru/eng/sm9019
  • https://doi.org/10.1070/SM9019
  • https://www.mathnet.ru/eng/sm/v210/i1/p155
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:542
    Russian version PDF:47
    English version PDF:20
    References:50
    First page:39
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024