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Title: A Landesman-Lazer type condition and the long time behaviour of floating plates (English)
Author: Feireisl, Eduard
Author: Herrmann, Leopold
Author: Vejvoda, Otto
Language: English
Journal: Acta Mathematica et Informatica Universitatis Ostraviensis
ISSN: 1211-4774
Volume: 2
Issue: 1
Year: 1994
Pages: 33-44
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Category: math
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MSC: 35B35
MSC: 35B40
MSC: 35Q72
MSC: 73K10
MSC: 73K12
MSC: 74H45
MSC: 74K20
idZBL: Zbl 0861.35014
idMR: MR1309062
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Date available: 2009-01-30T09:01:18Z
Last updated: 2013-10-22
Stable URL: http://hdl.handle.net/10338.dmlcz/120482
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Reference: [1] Antman S. S.: Buckled states of nonlineary elastic plates.Arch. Rational Mech. Anal. 67 (1978), 111-149. MR 0478926, 10.1007/BF00249503
Reference: [2] Ball J. M.: Convexity conditions and existence theorems in nonlinear elasticity.Arch. Rational Mech. Anal. 63 (1977), 337-403. Zbl 0368.73040, MR 0475169, 10.1007/BF00279992
Reference: [3] Fučík S.: Solvability of nonlinear equations and boundary value problems.D. Riedel Publ. Company, Holland, 1980. MR 0620638
Reference: [4] Haraux A.: Nonlinear evolution equations - global behaviour of solutions.Lecture Notes in Math. 841, Spгinger Verlag, 1981. MR 0610796
Reference: [5] Lagnese J. E., Lions J. L.: Modelling, analysis and control of thin plates.Collection Recherches en Mathématiques Appһquées 6, Masson Paris, 1988. Zbl 0662.73039, MR 0953313
Reference: [6] Landesman E. M., Lazer A. C: Nonlinear perturbations of linear elliptic boundary value problems at resonance.J. Math. Mech. 19 (1970), 609-623. Zbl 0193.39203, MR 0267269
Reference: [7] Lazer A.C, McKenna P. J.: Large amplitude periodic oscillations in suspension bridges: Some new connections with nonlinear analysis.Siam Review 32 (1990), no. 4.537-578 Zbl 0725.73057, MR 1084570, 10.1137/1032120
Reference: [8] Lazeг A. C, McKenna P. J.: Nonlinear flexing in a peiodically forced floating beam.Preprint, 1989. MR 1087448
Reference: [9] Lions J. L., Magenes E.: Problémes aux limites non homogènes et applications I.Dunod Paris, 1968.
Reference: [10] Reissig R., Sansone G., Conti R.: Qualitative Theorie Nichtlinearer Differentialgleichungen.Edizioni Cremonese, 1963. MR 0158121
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