UNILATERAL EIGENVALUE PROBLEMS FOR NONLINEARLY ELASTIC PLATES : AN APPROACH VIA PSEUDO-MONOTONE OPERATORS

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Author(s)

Detail(s)

Original languageEnglish
Pages (from-to)147-152
Journal / PublicationChinese Annals of Mathematics. Series B
Volume21
Issue number2
Publication statusPublished - Apr 2000
Externally publishedYes

Abstract

This paper considers a class of variational inequalities that model the buckling of a von Karman plate clamped on a part of its boundary and lying on a flat rigid support. The existence and bifurcation results of D. Goeleven, V. H. Nguyen and M. Thera[6] rely on the Leray-Schauder degree. Using the topological degree for pseudo-monotone operators of type (S+), the author establishes a more general existence result for such unilateral eigenvalue problems.

Research Area(s)

  • Generalized monotone operators, Nonlinearly elastic plates, Topological degree, Unilateral eigenvalue problem, Variational inequalities