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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2010, Volume 269, Pages 82–90 (Mi tm2887)  
This article is cited in 1 scientific paper (total in 1 paper)

On higher order elliptic and parabolic inequalities with singularities on the boundary

E. I. Galakhov

Steklov Mathematical Institute, Russian Academy of Sciences, Moscow, Russia
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Abstract: We prove the nonexistence of solutions to a number of higher order quasilinear elliptic and parabolic partial differential inequalities in bounded domains with point singularities on the boundary. The results are extended to systems of such inequalities. The proofs are based on the method of nonlinear capacity. We also present examples showing that the conditions obtained are sharp in the class of problems under consideration.
Received in September 2009
English version:
Proceedings of the Steklov Institute of Mathematics, 2010, Volume 269, Pages 76–84
DOI: https://doi.org/10.1134/S0081543810020070
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: E. I. Galakhov, “On higher order elliptic and parabolic inequalities with singularities on the boundary”, Function theory and differential equations, Collected papers. Dedicated to Academician Sergei Mikhailovich Nikol'skii on the occasion of his 105th birthday, Trudy Mat. Inst. Steklova, 269, MAIK Nauka/Interperiodica, Moscow, 2010, 82–90; Proc. Steklov Inst. Math., 269 (2010), 76–84
Citation in format AMSBIB
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\by E.~I.~Galakhov
\paper On higher order elliptic and parabolic inequalities with singularities on the boundary
\inbook Function theory and differential equations
\bookinfo Collected papers. Dedicated to Academician Sergei Mikhailovich Nikol'skii on the occasion of his 105th birthday
\serial Trudy Mat. Inst. Steklova
\yr 2010
\vol 269
\pages 82--90
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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  • https://www.mathnet.ru/eng/tm/v269/p82
    • This publication is cited in the following 1 articles:
    1. V. E. Admasu, “On the absence of weak solutions of nonlinear nonnegative higher order parabolic inequalities with a nonlocal source”, Comput. Math. Math. Phys., 63:6 (2023), 1052–1063  mathnet  mathnet  crossref  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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