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Title: Three solutions of a quasilinear elliptic problem near resonance (English)
Author: Ma, To Fu
Author: Sanchez, Luis
Language: English
Journal: Mathematica Slovaca
ISSN: 0139-9918
Volume: 47
Issue: 4
Year: 1997
Pages: 451-457
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Category: math
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MSC: 35A05
MSC: 35A15
MSC: 35J65
MSC: 58E30
idZBL: Zbl 0958.35052
idMR: MR1796957
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Date available: 2009-09-25T11:24:50Z
Last updated: 2012-08-01
Stable URL: http://hdl.handle.net/10338.dmlcz/128595
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Reference: [1] AMBROSETTI A.-RABINOWITZ P.: Dual variational methods in critical point theory and applications.J. Funct. Anal. 14 (1973), 349-381. Zbl 0273.49063, MR 0370183
Reference: [2] ANANE A.: Simplicite et isolation de la premiére valeur propre du p-Laplacien avec poids.C. R. Acad. Sci. Paris Ser. I Math. 305 (1987), 725-728. Zbl 0633.35061, MR 0920052
Reference: [3] BADIALE M.-LUPO D.: Some remarks on a multiplicity result by Mawhin and Schmitt.Bull. Acad. R. Belgique Cl. Sci. 65 (1989), 210-224. Zbl 0706.34020
Reference: [4] CHIAPPINELLI R.-MAWHIN J.-NUGARI R.: Bifurcation from infinity and multiple solutions for some Dirichlet problems with unbounded nonlinearities.Nonlinear Anal. T. M. A. 18 (1992), 1099-1112. Zbl 0780.35038, MR 1171599
Reference: [5] HIRANO N.: Multiple solutions for quasilinear elliptic equations.Nonlinear Anal. T. M. A. 15 (1990), 625-638. Zbl 0723.35034, MR 1073954
Reference: [6] LUPO D.-RAMOS M.: Some multiplicity results for two-point boundary value problems near resonance.Rend. Sem. Mat. Univ. Politec. Torino 48 (1990), 125-135. Zbl 0764.34017, MR 1169063
Reference: [7] MAWHIN J.-SCHMITT K.: Nonlinear eigenvalue problems with the parameter near resonance.Ann. Polon. Math. LI (1990), 241-248. Zbl 0724.34025, MR 1093994
Reference: [8] RAMOS M.-SANCHEZ L.: A variational approach to multiplicity in elliptic problems near resonance.Proc. Roy. Soc. Edinburgh Sect. A 127 (1997), 385-394. Zbl 0869.35041, MR 1447958
Reference: [9] SANCHEZ L.: Boundary value problems for some fourth order ordinary differential equations.Applicable Anal. 38 (1990), 161-177. Zbl 0682.34020, MR 1116179
Reference: [10] ZONGMING, GUO: Some existence and multiplicity results for a class of quasilinear elliptic eigenvalue problems.Nonlinear Anal. T. M. A. 18 (1992), 957-971. Zbl 0782.35053, MR 1166534
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