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, 2021, Number 3, Pages 67–75
DOI: https://doi.org/10.26907/0021-3446-2021-3-67-75 (Mi ivm9658) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On capacitary characteristics of noncompact Riemannian manifolds

A. G. Losev, V. V. Filatov

Volgograd state university, 100 University Ave., Volgograd, 400062 Russia
Full-text PDF (352 kB) Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.26907/0021-3446-2021-3-67-75
Abstract: In this paper we introduce the concept of $L$-massive subsets of non-compact Riemannian manifolds, also their properties are studied. It is proved that non-trivial bounded solution of considered equation exists on non-compact Riemannian manifold if and only if there is $L$-massive set on it. Also proved similar statement for solutions of semilinear equations with finite energy integral.
Keywords: semilinear equation, energy integral, massive sets, Liouville type theorem.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 0633-2020-0003
Received: 23.04.2020
Revised: 23.04.2020
Accepted: 29.06.2020
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2021, Volume 65, Issue 3, Pages 61–67
DOI: https://doi.org/10.3103/S1066369X21030063
Bibliographic databases:
Document Type: Article
UDC: 517
Language: Russian
Citation: A. G. Losev, V. V. Filatov, “On capacitary characteristics of noncompact Riemannian manifolds”, Izv. Vyssh. Uchebn. Zaved. Mat., 2021, no. 3, 67–75; Russian Math. (Iz. VUZ), 65:3 (2021), 61–67
Citation in format AMSBIB
\Bibitem{LosFil21}
\by A.~G.~Losev, V.~V.~Filatov
\paper On capacitary characteristics of noncompact Riemannian manifolds
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2021
\issue 3
\pages 67--75
\mathnet{http://mi.mathnet.ru/ivm9658}
\crossref{https://doi.org/10.26907/0021-3446-2021-3-67-75}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2021
\vol 65
\issue 3
\pages 61--67
\crossref{https://doi.org/10.3103/S1066369X21030063}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000638880500006}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85104247183}
Linking options:
  • https://www.mathnet.ru/eng/ivm9658
  • https://www.mathnet.ru/eng/ivm/y2021/i3/p67
    • This publication is cited in the following 1 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:212
    Full-text PDF :73
    References:20
    First page:11
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024