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| UNILATERAL EIGENVALUE PROBLEMS FOR NONLINEARLY ELASTIC PLATES: AN APPROACH VIA PSEUDO-MONOTONE OPERATORS |
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Citation： |
Liliana GRATIE.UNILATERAL EIGENVALUE PROBLEMS FOR NONLINEARLY ELASTIC PLATES: AN APPROACH VIA PSEUDO-MONOTONE OPERATORS[J].Chinese Annals of Mathematics B,2000,21(2):147~152 |
| Page view： 1275
Net amount： 821 |
Authors： |
Liliana GRATIE; |
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| 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 at 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. |
Keywords： |
Variational inequalities, Topological degree, Generalized monotone operators, Unilateral eigenvalue problem, Nonlinearly elastic plates |
Classification： |
35A15, 35S05, 49J40 |
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