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Matematicheskie Zametki, 2009, Volume 85, Issue 3, Pages 408–420
DOI: https://doi.org/10.4213/mzm4128 (Mi mzm4128) 		 
This article is cited in 7 scientific papers (total in 7 papers)

The Behavior of Solutions of Semilinear Elliptic Equations of Second Order of the Form $Lu=e^u$ in the Infinite Cylinder

A. V. Neklyudov

N. E. Bauman Moscow State Technical University
Full-text PDF (479 kB) Citations (7)
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DOI: https://doi.org/10.4213/mzm4128
Abstract: We consider a semilinear elliptic equation of second order with variable coefficients of the form $Lu=e^u$ in the semi-infinite cylinder whose solution satisfies a homogeneous Neumann condition on the lateral surface of the cylinder.
Keywords: semilinear elliptic equation, Neumann boundary condition, Dirichlet integral, Poincaré inequality, Hölder's inequality.
Received: 10.10.2007
English version:
Mathematical Notes, 2009, Volume 85, Issue 3, Pages 397–408
DOI: https://doi.org/10.1134/S0001434609030109
Bibliographic databases:
UDC: 517.956.223
Language: Russian
Citation: A. V. Neklyudov, “The Behavior of Solutions of Semilinear Elliptic Equations of Second Order of the Form $Lu=e^u$ in the Infinite Cylinder”, Mat. Zametki, 85:3 (2009), 408–420; Math. Notes, 85:3 (2009), 397–408
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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