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Applicable Analysis
An International Journal
Volume 69, 1998 - Issue 3-4
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Original Articles

Zaremba's problem for elliptic equations in the neighborhood of a singular point or in the infinity

A.I. Ibragimov Oil and Gas Research Institute
&
E.M. Landis Moscow State University
Pages 113-125 | Published online: 02 May 2007

  • Grigoryan , A.A. 1987 . On Liuville theorem for harmonic funtions with finite Dirichlet Integral . Mat. Sbornik , 132 ( 4 ) : 496 – 516 . (in Russian), Engl.transl.Math.USSR,Sborni(1988)No. 2,485-504
  • Gushin , A.K. 1982 . On the uniform stabilization of solutions of the second mixed problem for a parabolic equation . Mat. Sbornik , 119 ( 4 ) : 451 – 508 . (in Russian), Engl.trans.Math.USSR,Sbornik,47(1984),439-498
  • Ibragimov , A.I. 1983 . On Solvability of the Mixed Problem for 2-nd Order Elliptic Equations . Differential Equations , XIX ( 4 ) : 56 – 65 . in Russian
  • Ibragimov A.I. Landis E.M.. Zaremba's Problem for Elliptic Equations in the Neighbourhood of a Singular Point or in the infinity Part I. Appl. Anal.
  • Ibragimov , A.I. 1983 . Some qualitative properties of solutions of the mixed problem for the equations of elliptic type . Mat.Sbornik , 122 ( 2 ) : 168 – 181 . (in Russian)Engl.transl.Math.USSR,Sbornik,50(1985),No. 1,163-176
  • Ibragimov , A.I. and Landis , E.M. 1997 . On the behavior of solutions to the Neumann's Problems in Unbounded Domains . Journ. of Math. Sciences , 85 ( 2 ) : 2373 – 2384 .
  • Landis , E.M. and Ibragimov , A.I. 1995 . Neumann' Problems in Unlimited Domains . Proceeding of the Russian Academy of Sciences , 343 ( 2 ) : 17 – 18 . (in Russian)
  • Kerimov , T.M. , Maz'ya , V.G. and Novruzov , A.A. 1982 . An Analogue of Wiener Criterion in Cylinder Domain . Functional Analysis and Appl. , 16 ( 2 ) : 70 – 71 . (in Russian)
  • Kerimov , T.M. , Maz'ya , V.G. and Novruzov , A.A. 1987 . Criterion of regularity of the infinity distant point for the Zaremba problem in a half cylinder . Z.Anal.Anwendungen , 7 ( 2 ) : 113 – 125 .
  • Maz'ya , V.G. 1985 . “ Sobolev's Spaces ” . In Izd. Leningradskogo Universiteta , Berlin—New York : Springer-Verlag . (in Russian)Engl.transl

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