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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2014, Number 1, Pages 55–60 (Mi ivm8862)  
This article is cited in 2 scientific papers (total in 2 papers)

On the absence of global solutions of the Gauss equation and solutions in external areas

A. V. Neklyudov

Chair of Higher Mathematics, Bauman Moscow State Technical University, 2/18 Rubtsovskaya embankment, Moscow, 105005 Russia
Full-text PDF (186 kB) Citations (2)
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Abstract: We consider conditions under which the Gauss equation has no solutions defined in the whole space or in areas external with respect to a ball. The absence of solutions in external areas is established in the case when the number of independent variables is more than two. In the two-dimensional case we obtain conditions ensuring the absence of global solutions of the second-order elliptic equation with variable coefficients in its linear part.
Keywords: Gauss equation, absence of global solutions, absence of solutions in exterior domains.
Received: 06.08.2012
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2014, Volume 58, Issue 1, Pages 47–51
DOI: https://doi.org/10.3103/S1066369X14010058
Bibliographic databases:
Document Type: Article
UDC: 517.956
Language: Russian
Citation: A. V. Neklyudov, “On the absence of global solutions of the Gauss equation and solutions in external areas”, Izv. Vyssh. Uchebn. Zaved. Mat., 2014, no. 1, 55–60; Russian Math. (Iz. VUZ), 58:1 (2014), 47–51
Citation in format AMSBIB
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\by A.~V.~Neklyudov
\paper On the absence of global solutions of the Gauss equation and solutions in external areas
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2014
\issue 1
\pages 55--60
\mathnet{http://mi.mathnet.ru/ivm8862}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2014
\vol 58
\issue 1
\pages 47--51
\crossref{https://doi.org/10.3103/S1066369X14010058}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84892527069}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
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