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Complementarity problem and the existence of the post-critical equilibrium state of a thin elastic plate

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Abstract

Using the concept of a conically bounded set, we prove a variational principle for functionals defined on a locally compact pointed convex cone. Applying this principle to the nonlinear complementarity problem, we study the existence of the post-critical equilibrium state of a thin elastic plate, subjected to unilateral conditions.

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Authors and Affiliations

  1. Département de Mathématiques, Collège Militaire Royal de Saint-Jean, Saint-Jean, Québec, Canada

    G. Isac (Professeur)

  2. Département de Mathémathiques, Université de Limoges, Limoges, France

    M. Théra (Maître de Conférence)

Authors
  1. G. Isac
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  2. M. Théra
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Communicated by W. Stadler

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Isac, G., Théra, M. Complementarity problem and the existence of the post-critical equilibrium state of a thin elastic plate. J Optim Theory Appl 58, 241–257 (1988). https://doi.org/10.1007/BF00939684

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