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Limit properties of the solutions of a Dirichlet problem in an elliptic domain

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Abstract

We study solutions of a Dirichlet problem in a fixed ellipse and their behavior in the integral metric in the case where interior points approach the boundary of the ellipse.

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Authors and Affiliations

  1. Volynskii University, Lutsk

    N. I. Voroshik & V. I. Gorbaichuk

Authors
  1. N. I. Voroshik
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  2. V. I. Gorbaichuk
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 47, No. 10, pp. 1318–1327, October, 1995.

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Voroshik, N.I., Gorbaichuk, V.I. Limit properties of the solutions of a Dirichlet problem in an elliptic domain. Ukr Math J 47, 1500–1512 (1995). https://doi.org/10.1007/BF01060150

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  • DOI: https://doi.org/10.1007/BF01060150

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