| UNILATERAL EIGENVALUE PROBLEMS FOR NONLINEARLY ELASTIC PLATES： AN APPROACH VIA PSEUDO-MONOTONE OPERATORS |
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| 引用本文： | Liliana GRATIE. UNILATERAL EIGENVALUE PROBLEMS FOR NONLINEARLY ELASTIC PLATES： AN APPROACH VIA PSEUDO-MONOTONE OPERATORS[J]. 数学年刊B辑(英文版), 2000, 21(2): 147-152 |
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| 作者姓名： | Liliana GRATIE |
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| 作者单位： | Faculty of Engineering-Brǎila, Dunǎrea de Jos University of Galati, Calea Cǎlǎrasilor 29, Brǎila 6100, Romania |
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| 摘 要： | gi.TheTOpologicalDegreeforGeneralizedMonotoneOperatorsMonotoneoperatortheoryisoftenanefficienttoolforprovingtheexistenceofsolutionstononlinearProblems.Inparticular,thepseudo-monotoneoperatorsintroducedbyBrezis[2]areveryusefulforstudyingnonlinearellipticproblems.Weconsiderherethefollowingclassesofmappingsofgeneralizedmonotonetype.(QM)=theclassofquasi-mollotoneoperators,(S )=theclassofoperatorsoftype(S ),(PM)=theclassofpseudthmonotoneoperators,(LS)=theclassofLeray-Schauderoperators(compac…
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| 关 键 词： | 单向特征值问题 伪单调算子 变分不等式 拓扑度 |
| 收稿时间： | 1999-10-29 |
UNILATERAL EIGENVALUE PROBLEMS FOR NONLINEARLY ELASTIC PLATES: AN APPROACH VIA PSEUDO-MONOTONE OPERATORS |
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| Liliana GRATIE. UNILATERAL EIGENVALUE PROBLEMS FOR NONLINEARLY ELASTIC PLATES: AN APPROACH VIA PSEUDO-MONOTONE OPERATORS[J]. Chinese Annals of Mathematics,Series B, 2000, 21(2): 147-152 |
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| Authors: | Liliana GRATIE |
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| Affiliation: | (1) Faculty of Engineering-Brăila, Dunărea de Jos University of Galati, Calea Călărasilor 29, 6100 Brăila, Romania |
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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 fiat 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. |
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| Keywords: | Variational inequalities Topological degree Generalized monotone operators Unilateral eigenvalue problem Nonlinearly elastic plates |
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