UNILATERAL EIGENVALUE PROBLEMS FOR NONLINEARLY ELASTIC PLATES : AN APPROACH VIA PSEUDO-MONOTONE OPERATORS
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Author(s)
Detail(s)
Original language | English |
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Pages (from-to) | 147-152 |
Journal / Publication | Chinese Annals of Mathematics. Series B |
Volume | 21 |
Issue number | 2 |
Publication status | Published - Apr 2000 |
Externally published | Yes |
Link(s)
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
Citation Format(s)
UNILATERAL EIGENVALUE PROBLEMS FOR NONLINEARLY ELASTIC PLATES: AN APPROACH VIA PSEUDO-MONOTONE OPERATORS. / Gratie, Liliana.
In: Chinese Annals of Mathematics. Series B, Vol. 21, No. 2, 04.2000, p. 147-152.
In: Chinese Annals of Mathematics. Series B, Vol. 21, No. 2, 04.2000, p. 147-152.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review