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Title: Landesman-Lazer conditions for strongly nonlinear boundary value problems (English)
Author: Boccardo, Lucio
Author: Drábek, Pavel
Author: Kučera, Milan
Language: English
Journal: Commentationes Mathematicae Universitatis Carolinae
ISSN: 0010-2628 (print)
ISSN: 1213-7243 (online)
Volume: 30
Issue: 3
Year: 1989
Pages: 411-427
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Category: math
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MSC: 35D05
MSC: 35J25
MSC: 35J35
MSC: 35J65
MSC: 35J70
MSC: 47H15
MSC: 55M25
idZBL: Zbl 0706.35051
idMR: MR1031859
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Date available: 2008-06-05T21:39:23Z
Last updated: 2012-04-28
Stable URL: http://hdl.handle.net/10338.dmlcz/106763
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Reference: [2] Ahmad S.: A resonance problem in which the nonlinearity may grow linearly.Proc. Amer. Math. Society 93 (1984), 381-384. MR 0759657
Reference: [3] Anane A.: Simplicate et isolation de la premiere valeur propre du p-Laplacien avec poids.C.R. Acad. Sci. Paris 305 1 (1987), 725-728. MR 0920052
Reference: [4] Boccardo L., Drábek P., Giachetti D., Kučera M.: Generalization of Fredholm alternative for nonlinear differential operators.Nonlinear Analysis T.M.A. 10 (1986), 1083-1103. MR 0857742
Reference: [5] Drábek P.: On the resonance problem with nonlinearity which has arbitrary linear growth.J. Math. Analysis. Appl. 127 (1987), 435-442. MR 0915069
Reference: [6] Fučík S., Nečas J., Souček J., Souček V.: Spectral Analysis of Nonlinear Operators.Lecture Notes in Math. 346, Springer, Berlin, 1973. MR 0467421
Reference: [7] 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: [8] Lions J. L.: Qulques méthodes de résolution de problemes aux limites nonlinéaires.Dunod Gauthier - Villars, Paris, 1969. MR 0259693
Reference: [9] Llibourty L.: Traite de Glaceologie.Masson and Lie, Paris (I) 1964 et (II) 1965.
Reference: [10] Péllisier M. C., Reynand L.: Étude d'un modéle mathématique d'écoulement de glacier.C.R. Acad. Sci. Paris 279 (1979), 531-534.
Reference: [11] Tolksdorf P.: Regularity of a more general class of quasilinear elliptic equations.J. Differential Equations 51 (1984), 126-150. MR 0727034
Reference: [12] Anane A., Gossez J. P.: Strongly nonlinear elliptic problems near resonance: a variational approach.preprint. Zbl 0715.35029, MR 1070239
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