Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. Vyssh. Uchebn. Zaved. Mat.:
Year:
Volume:
Issue:
Page:
Find




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

Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2020, Number 1, Pages 30–45
DOI: https://doi.org/10.26907/0021-3446-2020-1-30-45 (Mi ivm9535) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Equivalence of entropy and renormalized solutions of the anisotropic elliptic problem in unbounded domains with measure data

L. M. Kozhevnikovaab

a Sterlitamak Branch of Bashkir State University, 37 Lenin Ave., Sterlitamak, 453103 Russia
b Elabuga Branch of Kazan Federal University, 89 Kazanskaya str., Elabuga, 423600 Russia
Full-text PDF (462 kB) Citations (3)
References:
PDF
HTML
DOI: https://doi.org/10.26907/0021-3446-2020-1-30-45
Abstract: We consider a class of anisotropic elliptic equations of second order with variable exponents of nonlinearity when a special form of Radon measure is used as the right-hand side. In anisotropic Sobolev spaces with variable exponents of nonlinearity, the some properties and uniqueness of entropy and renormalized solutions of the Dirichlet problem in arbitrary domains are established. In addition, we prove the equivalence of entropy and renormalized solutions of the considered problem.
Keywords: anisotropic elliptic equation, entropy solution, renormalized solution, uniqueness of solution, existence of solution, variable exponent, Radon measure data, Dirichlet problem, unbounded domain.
Funding agency Grant number
Russian Foundation for Basic Research 18-01-00428_a
Received: 29.01.2019
Revised: 25.03.2019
Accepted: 27.03.2019
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2020, Volume 64, Issue 1, Pages 25–39
DOI: https://doi.org/10.3103/S1066369X20010041
Bibliographic databases:
Document Type: Article
UDC: 517.956
Language: Russian
Citation: L. M. Kozhevnikova, “Equivalence of entropy and renormalized solutions of the anisotropic elliptic problem in unbounded domains with measure data”, Izv. Vyssh. Uchebn. Zaved. Mat., 2020, no. 1, 30–45; Russian Math. (Iz. VUZ), 64:1 (2020), 25–39
Citation in format AMSBIB
\Bibitem{Koz20}
\by L.~M.~Kozhevnikova
\paper Equivalence of entropy and renormalized solutions of the anisotropic elliptic problem in unbounded domains with measure data
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2020
\issue 1
\pages 30--45
\mathnet{http://mi.mathnet.ru/ivm9535}
\crossref{https://doi.org/10.26907/0021-3446-2020-1-30-45}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2020
\vol 64
\issue 1
\pages 25--39
\crossref{https://doi.org/10.3103/S1066369X20010041}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000524245200004}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85083063149}
Linking options:
  • https://www.mathnet.ru/eng/ivm9535
  • https://www.mathnet.ru/eng/ivm/y2020/i1/p30
    • 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 высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
    Statistics & downloads:
    Abstract page:278
    Full-text PDF :48
    References:29
    First page:11
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024