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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2016, Volume 13, Pages 1026–1034
DOI: https://doi.org/10.17377/semi.2016.13.081
(Mi semr731)
 

This article is cited in 2 scientific papers (total in 2 papers)

Real, complex and functional analysis

On the solvability of boundary value problems for quasilinear elliptic equations on noncompact Riemannian manifolds

E. A. Mazepa

Volgograd State University, pr. Universitetsky, 100, 400062, Volgograd, Russian Federation
Full-text PDF (150 kB) Citations (2)
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Abstract: In this paper we study the questions of the solvability for certain boundary and external boundary value problems for quasilinear elliptic equations on arbitrary non-compact Riemannian manifolds. We compare the behavior of unbounded functions "at infinity", using a new approach which is based on the consideration of equivalence classes of functions on $M$.
Keywords: quasilinear elliptic equation, boundary value problem, stability of the solvability, nonnegative solution, noncompact Riemannian manifolds, the Dirichlet problem.
Funding agency Grant number
Russian Foundation for Basic Research 15-41-02479_р_поволжье_а
Received April 1, 2016, published November 22, 2016
Bibliographic databases:
Document Type: Article
UDC: 517.95
MSC: 58J32
Language: Russian
Citation: E. A. Mazepa, “On the solvability of boundary value problems for quasilinear elliptic equations on noncompact Riemannian manifolds”, Sib. Èlektron. Mat. Izv., 13 (2016), 1026–1034
Citation in format AMSBIB
\Bibitem{Maz16}
\by E.~A.~Mazepa
\paper On the solvability of boundary value problems for quasilinear elliptic equations on noncompact Riemannian manifolds
\jour Sib. \`Elektron. Mat. Izv.
\yr 2016
\vol 13
\pages 1026--1034
\mathnet{http://mi.mathnet.ru/semr731}
\crossref{https://doi.org/10.17377/semi.2016.13.081}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3580055}
\zmath{https://zbmath.org/?q=an:1370.58013}
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  • https://www.mathnet.ru/eng/semr/v13/p1026
  • 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
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