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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2013, Volume 283, Pages 40–48
DOI: https://doi.org/10.1134/S0371968513040043 (Mi tm3503) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On some partial differential inequalities with gradient terms

E. I. Galakhov

Peoples Friendship University of Russia, Moscow, Russia
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DOI: https://doi.org/10.1134/S0371968513040043
Abstract: Using a modification of the nonlinear capacity method, we obtain necessary conditions for the solvability of some nonlinear partial differential equations and inequalities containing the polyharmonic operator and terms that depend on the norm of the gradient of the solution, both in the entire space and in bounded domains; in the latter case the coefficients of the inequality are allowed to have singularities.
Received in December 2012
English version:
Proceedings of the Steklov Institute of Mathematics, 2013, Volume 283, Pages 35–43
DOI: https://doi.org/10.1134/S008154381308004X
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: E. I. Galakhov, “On some partial differential inequalities with gradient terms”, Function theory and equations of mathematical physics, Collected papers. In commemoration of the 90th anniversary of Lev Dmitrievich Kudryavtsev's birth, Trudy Mat. Inst. Steklova, 283, MAIK Nauka/Interperiodica, Moscow, 2013, 40–48; Proc. Steklov Inst. Math., 283 (2013), 35–43
Citation in format AMSBIB
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\by E.~I.~Galakhov
\paper On some partial differential inequalities with gradient terms
\inbook Function theory and equations of mathematical physics
\bookinfo Collected papers. In commemoration of the 90th anniversary of Lev Dmitrievich Kudryavtsev's birth
\serial Trudy Mat. Inst. Steklova
\yr 2013
\vol 283
\pages 40--48
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm3503}
\crossref{https://doi.org/10.1134/S0371968513040043}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3479947}
\elib{https://elibrary.ru/item.asp?id=20783228}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2013
\vol 283
\pages 35--43
\crossref{https://doi.org/10.1134/S008154381308004X}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000330983000003}
Linking options:
  • https://www.mathnet.ru/eng/tm3503
  • https://doi.org/10.1134/S0371968513040043
  • https://www.mathnet.ru/eng/tm/v283/p40
    • This publication is cited in the following 2 articles:
    1. V. E. Admasu, E. I. Galakhov, O. A. Salieva, “Otsutstvie netrivialnykh slabykh reshenii nekotorykh nelineinykh neravenstv s gradientnoi nelineinostyu”, Differentsialnye uravneniya s chastnymi proizvodnymi, SMFN, 67, no. 1, Rossiiskii universitet druzhby narodov, M., 2021, 1–13  mathnet  crossref
    2. A. A. Kon'kov, “Blow-up of solutions for a class of nondivergence elliptic inequalities”, Comput. Math. Math. Phys., 57:3 (2017), 453–463  mathnet  crossref  crossref  isi  elib
    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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