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Optimization of the domain in elliptic variational inequalities

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Abstract

This paper is concerned with a nonsmooth shape optimization problem for the Signorini unilateral boundary-value problem. The necessary optimality conditions are derived. The results of computations are presented.

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Authors and Affiliations

  1. Department of Mathematics, University of Jyväskylä, SF-40100, Jyväskylä, Finland

    P. Neittaanmäki

  2. System Research Institute, Polish Academy of Sciences, Newelska 6, 01-447, Warszawa, Poland

    J. Sokolowski

  3. Laboratoire de Physique Mathematique, CNRS, Place E. Bataillon, 34060, Montpellier-Cedex, France

    J. P. Zolesio

  4. Department of Physics and Mathematics, Lappeenranta University of Technology, Box 20, SF-53851, Lappeenranta, Finland

    P. Neittaanmäki

Authors
  1. P. Neittaanmäki
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  2. J. Sokolowski
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  3. J. P. Zolesio
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Communicated by I. Lasiecka

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Neittaanmäki, P., Sokolowski, J. & Zolesio, J.P. Optimization of the domain in elliptic variational inequalities. Appl Math Optim 18, 85–98 (1988). https://doi.org/10.1007/BF01443616

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