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Vestnik TVGU. Seriya: Prikladnaya Matematika [Herald of Tver State University. Series: Applied Mathematics]
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Vestnik TVGU. Seriya: Prikladnaya Matematika [Herald of Tver State University. Series: Applied Mathematics], 2023, Issue 2, Pages 5–16
DOI: https://doi.org/10.26456/vtpmk504 (Mi vtpmk504) 		 
Mathematical Modelling, Numerical Methods and Software Systems

On the absence of positive solutions of second-order elliptic equations in cylinder domains

A. V. Neklyudov

Bauman Moscow State Technical University, Moscow
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DOI: https://doi.org/10.26456/vtpmk504
Abstract: We consider conditions under which the second order elliptic equation has no positive solutions defined in the semiinfinite cylinder. The conditions of the absence of solutions are established in terms of degeneration of positive low coefficient.
Keywords: elliptic equation, Neuman boundary value condition, unbounded domain, positive solutions, absence of solutions.
Received: 04.05.2018
Revised: 10.02.2023
Bibliographic databases:
Document Type: Article
UDC: 517.956
MSC: 35J61
Language: Russian
Citation: A. V. Neklyudov, “On the absence of positive solutions of second-order elliptic equations in cylinder domains”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2023, no. 2, 5–16
Citation in format AMSBIB
\Bibitem{Nek23}
\by A.~V.~Neklyudov
\paper On the absence of positive solutions of second-order elliptic equations in cylinder domains
\jour Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.]
\yr 2023
\issue 2
\pages 5--16
\mathnet{http://mi.mathnet.ru/vtpmk504}
\crossref{https://doi.org/10.26456/vtpmk504}
\elib{https://elibrary.ru/item.asp?id=54279618}
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