Unilateral eigenvalue problems for nonlinearly elastic plates and pseudo-monotone operators

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Original languageEnglish
Pages (from-to)959-964
Journal / PublicationComptes Rendus de l'Academie des Sciences - Series I: Mathematics
Issue number11
Publication statusPublished - Dec 1998
Externally publishedYes


We consider a class of variational inequalities that model the buckling of a nonlinearly elastic thin 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 rely on the Leray-Schauder degree. In this Note, using the topological degree for pseudo-monotone operators of type (S+), we establish a more general existence result for such variational inequalities of von Kármán type. © Académie des Sciences/Elsevier, Paris.

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