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Sbornik: Mathematics, 2009, Volume 200, Issue 10, Pages 1417–1437
DOI: https://doi.org/10.1070/SM2009v200n10ABEH004043 (Mi sm7477) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Elliptic and parabolic inequalities with point singularities on the boundary

E. I. Galakhov

Steklov Mathematical Institute, Russian Academy of Sciences
English version PDF (344 kB) Citations (2)
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DOI: https://doi.org/10.1070/SM2009v200n10ABEH004043
Abstract: It is shown that various quasilinear elliptic and parabolic differential inequalities and systems of such inequalities defined on bounded domains, and which have point singularities on the boundary do not have solutions. The method of nonlinear capacity is used in the proof. Examples show that the conditions obtained by this method cannot be improved in the class of problems under consideration.
Bibliography: 14 titles.
Keywords: quasilinear equations, nonexistence of solutions, boundary singularities.
Received: 29.10.2008 and 08.05.2009
Russian version:
Matematicheskii Sbornik, 2009, Volume 200, Number 10, Pages 3–24
DOI: https://doi.org/10.4213/sm7477
Bibliographic databases:
UDC: 517.954
MSC: Primary 35R45; Secondary 36A20
Language: English
Original paper language: Russian
Citation: E. I. Galakhov, “Elliptic and parabolic inequalities with point singularities on the boundary”, Mat. Sb., 200:10 (2009), 3–24; Sb. Math., 200:10 (2009), 1417–1437
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/sm/v200/i10/p3
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник Sbornik: Mathematics
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    Abstract page:435
    Russian version PDF:180
    English version PDF:1
    References:44
    First page:11
     
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