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Article

Title: On positive solutions of semilinear elliptic problems (English)
Author: Quittner, Pavol
Language: English
Journal: Commentationes Mathematicae Universitatis Carolinae
ISSN: 0010-2628 (print)
ISSN: 1213-7243 (online)
Volume: 30
Issue: 3
Year: 1989
Pages: 579-585
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Category: math
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MSC: 34B15
MSC: 35B05
MSC: 35B45
MSC: 35D10
MSC: 35J25
MSC: 35J65
MSC: 35J85
MSC: 47H15
MSC: 47J05
idZBL: Zbl 0698.35057
idMR: MR1031874
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Date available: 2008-06-05T21:40:06Z
Last updated: 2012-04-28
Stable URL: http://hdl.handle.net/10338.dmlcz/106778
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Reference: [1] Brézis H.: Problèmes unilatéraux.J. Math, pures et appl. 51 (1972), 1-168. MR 0428137
Reference: [2] Brézis H., Turner R. E. L.: On a class of supcrlincar elliptic problems.Comm. in P. D. E. 2 (1977), 601-814. MR 0509489
Reference: [3] Castro A.: Non-negative solutions for non-positone problems.ICTP preprint SMR 281/16.
Reference: [4] Crandall M. G., Rabinowitz P. H.: Some continuation and variational methods for positive solutions of nonlinear elliptic eigenvalue problems.Arch. Rational Mech. Anal. 58 (1975), 207-218. Zbl 0309.35057, MR 0382848
Reference: [5] De Figueiredo D. G.: Positive solutions of semilinear elliptic problems.In Differential equations, Springer Lecture Notes 957 (1982). Zbl 0506.35038, MR 0679140
Reference: [6] Lions P.-L.: On the existence of positive solutions of semilinear elliptic equations.SIAM Review 24 (1982), 441-467. Zbl 0511.35033, MR 0678562
Reference: [7] Ramaswamy M.: On the global set of solutions of a nonlinear ODE: theoretical and numerical description.J. Diff. Equations 65 (1986), 1-48. Zbl 0597.34014, MR 0859471
Reference: [8] Smoller J., Wasserman A.: Existence of positive solutions for semilinear elliptic equations in general domains.Arch. Rational Mech. Anal. 98 (1987), 229-249. Zbl 0664.35029, MR 0867725
Reference: [9] Szulkin A.: Minimax principles for lower semi continuous functions and applications to nonlinear boundary value problems.Ann. Inst. Henri Poincaré 3 (1986), 77-109. MR 0837231
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