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Eurasian Mathematical Journal, 2017, Volume 8, Number 4, Pages 74–83 (Mi emj279)  
This article is cited in 1 scientific paper (total in 1 paper)

On nonexistence of nonnegative solutions for some quasilinear elliptic inequalities in a bounded domain

O. A. Salieva

Department of Applied Mathematics, Moscow State Technological University "Stankin", 1 Vadkovsky pereulok, 127005 Moscow, Russia
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Abstract: Using the test function method, we study sufficient conditions of nonexistence of nonnegative solutions for a quasilinear elliptic inequality of the form $-\mathrm{div}(u^r|Du|^{p-2}Du)\geqslant a(x)u^q|Du|^s$ in a bounded domain and its generalizations.
Keywords and phrases: quasilinear elliptic inequalities; nonexistence of solutions.
Received: 30.12.2016
Bibliographic databases:
Document Type: Article
MSC: 35A01, 35J87, 35J92
Language: English
Citation: O. A. Salieva, “On nonexistence of nonnegative solutions for some quasilinear elliptic inequalities in a bounded domain”, Eurasian Math. J., 8:4 (2017), 74–83
Citation in format AMSBIB
\Bibitem{Sal17}
\by O.~A.~Salieva
\paper On nonexistence of nonnegative solutions for some quasilinear elliptic inequalities in a bounded domain
\jour Eurasian Math. J.
\yr 2017
\vol 8
\issue 4
\pages 74--83
\mathnet{http://mi.mathnet.ru/emj279}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000429192500007}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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