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On averaging of nonlinear elliptic problems with inhomogeneous boundary conditions

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Ukrainian Mathematical Journal Aims and scope

Abstract

A sequence of solutions of nonlinear elliptic problems is considered in the case where the Dirichlet conditions are given on the one part of the boundary and the Neumann conditions are given on the other part. The boundary-value problem is constructed.

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References

  1. G. A. Chechkin, “Averaging of boundary-value problems with singularly perturbed boundary conditions,”Mat. Sb.,184, No. 6, 99–150 (1993).

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  2. I. V. Skrypnik,Methods for Investigation of Nonlinear Elliptic Boundary-Value Problems [in Russian], Nauka, Moscow (1990).

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Authors and Affiliations

  1. Institute of Applied Mathematics and Mechanics, Ukrainian Academy of Sciences, Donetsk

    I. I. Skrypnik

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  1. I. I. Skrypnik
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 47, No. 2, pp. 269–276, February, 1995.

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Skrypnik, I.I. On averaging of nonlinear elliptic problems with inhomogeneous boundary conditions. Ukr Math J 47, 316–325 (1995). https://doi.org/10.1007/BF01056722

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  • DOI: https://doi.org/10.1007/BF01056722

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