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A Note on Optimal Design for Thin Structures in the Orlicz–Sobolev Setting

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Integral Methods in Science and Engineering, Volume 1

Abstract

A 3D-2D dimension reduction is deduced, via Gamma convergence, for a nonlinear optimal design problem with a perimeter penalization, providing an integral representation for the limit functional in the Orlicz-Sobolev setting.

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Acknowledgements

P.A.K.’s research was supported by WCMCS, http://www.wcmcs.edu.pl/ and by INdAM-GNAMPA through the project ‘Professori Visitatori 2016’. The support and the hospitality of University of Salerno and University of Warsaw is gratefully acknowledged by both authors. Elvira Zappale is a member of INdAM-GNAMPA.

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Authors and Affiliations

  1. University of Warsaw, Warsaw, Poland

    P. A. Kozarzewski

  2. Military University of Technology, Warsaw, Poland

    P. A. Kozarzewski

  3. Department of Industrial Engineering, University of Salerno, Fisciano, SA, Italy

    E. Zappale

Authors
  1. P. A. Kozarzewski
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  2. E. Zappale
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Corresponding author

Correspondence to P. A. Kozarzewski .

Editor information

Editors and Affiliations

  1. Department of Mathematics, The University of Tulsa, Tulsa, Oklahoma, USA

    Christian Constanda

  2. Department of Mathematics, The University of Tulsa, Tulsa, Oklahoma, USA

    Matteo Dalla Riva

  3. Department of Mathematics, University of Padova, Padova, Italy

    Pier Domenico Lamberti

  4. Systems Analysis, Prognosis and Control, Fraunhofer Institute for Industrial Math, Kaiserslautern, Germany

    Paolo Musolino

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Kozarzewski, P.A., Zappale, E. (2017). A Note on Optimal Design for Thin Structures in the Orlicz–Sobolev Setting. In: Constanda, C., Dalla Riva, M., Lamberti, P., Musolino, P. (eds) Integral Methods in Science and Engineering, Volume 1. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-59384-5_14

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