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Title: The solution of a Fučík's conjecture (English)
Author: Švarc, Rudolf
Language: English
Journal: Commentationes Mathematicae Universitatis Carolinae
ISSN: 0010-2628 (print)
ISSN: 1213-7243 (online)
Volume: 25
Issue: 3
Year: 1984
Pages: 483-517
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Category: math
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MSC: 47H15
MSC: 47J05
MSC: 55M20
MSC: 55M25
MSC: 58C30
MSC: 58E07
idZBL: Zbl 0562.47049
idMR: MR775566
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Date available: 2008-06-05T21:19:11Z
Last updated: 2012-04-28
Stable URL: http://hdl.handle.net/10338.dmlcz/106322
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Reference: [1] Ambrosetti A., Prodi G.: On the inversion of some mappings with singularities between Banach spaces.Annali Mat. Pura Appl. 93, 1973, pp. 231-246. MR 0320844
Reference: [2] Prodi G., Ambrosetti A.: Analisi non lineare, I.quaderno, Pisa 1973. Zbl 0352.47001
Reference: [3] Fučík S.: Solvability of nonlinear equations and BVP.Raidel-Dordrecht and Soc. of Czechoslovak Mathematicians and Physicists - Prague, 1980.
Reference: [4] Ambrosetti A., Mancini G.: Existence and multiplicity results for nonlinear elliptic problems with linear part at resonance: The case of simple eigenvalue.J. Biff. Equations 28, 1978, pp. 220-245. MR 0492839
Reference: [5] Manes A., Micheletti A.: Un'estensione della teoria variazionale degli antovalori per operatori ellitici del secondo ordine.Boll. Unione Mat. Ital. 7, 1973, pp. 285-301. MR 0344663
Reference: [6] Dancer E. N.: On a nonlinear elliptic boundary value problem.Bull. Austral. Math. Soc. 12, 1975, pp. 399-405. Zbl 0297.35031, MR 0385318
Reference: [7] Berger M. S., Podolak E.: On the solvability of a nonlinear Dirichlet problem.Indiana Univ. Math. J. 24, 1975, pp. 837-846. MR 0377274
Reference: [8] Podolak E.: On the range of operator equations with an asymptotically nonlinear term.Indiana Univ. Math. J. 25, 1976, pp. 1127-1137. Zbl 0353.47035, MR 0425698
Reference: [9] Podolak E.: On asymptotic nonlinearities.J. Diff. Equ. 26, 1977, pp. 69-79. Zbl 0372.47033, MR 0487637
Reference: [10] Figueiredo de D. G., Gossez J.-P.: Perturbation non linéaire d'un problème elliptique linéaire près de sa première valeur propre.Comptes Rendus Acad. Sci. Paris 284, 1977, pp. 163-166. Zbl 0343.35032
Reference: [11] Fučík S., Milota J.: Linear and nonlinear variational inequalities on half-spaces.Comm. Math. Univ. Carol. 169 1975, pp. 663-682. MR 0417877
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