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New Variational Principles for Solving Extended Dirichlet-Neumann Problems

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Abstract

We extend in this paper the classical variational methods devoted to solve the Dirichlet-Neumann problems. We assume that the intensive and extensive parameters are related by a maximal monotone multifunction. The Fitzpatrick’s method allows us to elaborate new variational principles.

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Acknowledgements

V. Rădulescu has been supported through Grant CNCS PCCA-23/2014.

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Authors and Affiliations

  1. Institut Pprime, Université de Poitiers, UPR CNRS 3346, 86034, Poitiers, France

    Claude Vallée

  2. Department of Mathematics, Faculty of Sciences, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia

    Vicenţiu D. Rădulescu

  3. Institute of Mathematics “Simion Stoilow” of the Romanian Academy, 014700, Bucharest, Romania

    Vicenţiu D. Rădulescu

  4. Faculté des Sciences, Département de Physique, Université de Lomé, BP, 1515, Lomé, Togo

    Kossi Atchonouglo

Authors
  1. Claude Vallée
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  2. Vicenţiu D. Rădulescu
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  3. Kossi Atchonouglo
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Corresponding author

Correspondence to Vicenţiu D. Rădulescu.

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This paper is dedicated to the memory of the distinguished mechanician and dear friend, Professor Claude Vallée. We learned a lot from Claude’s original mechanical ideas and his large scientific knowledge was very useful for us. He lost the battle with a serious illness in November 2014. Professor Claude Vallée will remain for ever in our souls and hearts.

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Vallée, C., Rădulescu, V.D. & Atchonouglo, K. New Variational Principles for Solving Extended Dirichlet-Neumann Problems. J Elast 123, 1–18 (2016). https://doi.org/10.1007/s10659-015-9544-3

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  • DOI: https://doi.org/10.1007/s10659-015-9544-3

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