Lithuanian Mathematical Journal

, Volume 41, Issue 4, pp 384–393 | Cite as

On the Dirichlet Problem with an Asymptotic Condition for an Elliptic System Strongly Degenerate at a Point

  • S. Rutkauskas

Abstract

We consider a Dirichlet‐type problem for a system of elliptic equations of second order with a strong degeneracy at an inner point of the domain, when, in a neighborhood of this point, the principal term of the asymptotics of a solution is additionally given. We prove the existence and uniqueness of a solution of the problem considered in a weighted class of Hölder vector functions.

degenerate elliptic equations asymptotics of solutions Dirichlet problem 

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Copyright information

© Plenum Publishing Corporation 2001

Authors and Affiliations

  • S. Rutkauskas
    • 1
    • 2
  1. 1.Institute of Mathematics and InformaticsVilnius
  2. 2.Vilnius Pedagogical UniversityVilniusLithuania

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