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Teoreticheskaya i Matematicheskaya Fizika, 2008, Volume 157, Number 3, Pages 436–449
DOI: https://doi.org/10.4213/tmf6291 (Mi tmf6291) 		 
This article is cited in 3 scientific papers (total in 3 papers)

A sufficient condition for the existence of limit values of solutions of an elliptic equation on the boundary

V. P. Mikhailov

Steklov Mathematical Institute, Russian Academy of Sciences
Full-text PDF (422 kB) Citations (3)
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DOI: https://doi.org/10.4213/tmf6291
Abstract: We find a sufficient condition for the existence of a limit value of an elliptic equation solution on the domain boundary.
Keywords: elliptic equation, domain boundary, solution limit.
Received: 13.03.2008
English version:
Theoretical and Mathematical Physics, 2008, Volume 157, Issue 3, Pages 1733–1744
DOI: https://doi.org/10.1007/s11232-008-0145-1
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. P. Mikhailov, “A sufficient condition for the existence of limit values of solutions of an elliptic equation on the boundary”, TMF, 157:3 (2008), 436–449; Theoret. and Math. Phys., 157:3 (2008), 1733–1744
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Linking options:
  • https://www.mathnet.ru/eng/tmf6291
  • https://doi.org/10.4213/tmf6291
  • https://www.mathnet.ru/eng/tmf/v157/i3/p436
    • This publication is cited in the following 3 articles:
    1. V. P. Mikhailov, “On Existence of a boundary value of a biharmonic function in a ball”, P-Adic Num Ultrametr Anal Appl, 4:1 (2012), 34  crossref
    2. V. P. Mikhailov, “Existence of boundary values of polyharmonic functions”, Sb. Math., 201:5 (2010), 735–757  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    3. V. P. Mikhailov, “On the existence of boundary values of solutions to an elliptic equation in a strip”, Dokl. Math., 80:1 (2009), 492–494  mathnet  crossref  mathscinet  zmath  isi  elib  elib  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:557
    Full-text PDF :217
    References:92
    First page:13
     
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