Complementarity problem and the existence of the post-critical equilibrium state of a thin elastic plate |
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| Authors: | G Isac M Théra |
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| Institution: | (1) Département de Mathématiques, Collège Militaire Royal de Saint-Jean, Saint-Jean, Québec, Canada;(2) Département de Mathémathiques, Université de Limoges, Limoges, France |
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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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| Keywords: | Complementarity problems variational inequalities conically bounded sets conically compact sets Von Ká rmá n operator Galerkin approximation |
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