Multiple solutions of some asymptotically linear elliptic boundary value problems
Hess, P.
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Hess, P.
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J.D. Keckic (1979)
Publications de l'Institut Mathématique [Elektronische Ressource]
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Gilbert Strang (1974)
Publications mathématiques et informatique de Rennes
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Vlajko Lj. Kocić (1982)
Publications de l'Institut Mathématique
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Wegert, Elias, Khimshiashvili, Georgi, Spitkovsky, Ilya (1997)
Memoirs on Differential Equations and Mathematical Physics
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Allan L. Edelson, Maria Patrizia Pera (1987)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
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We prove an existence theorem for connected branches of solutions to nonlinear operator equations in Banach spaces. This abstract result is applied to the asymptotically equivalent solutions to nonlinear ordinary differential equations.
J.D. Keckic (1975)
Publications de l'Institut Mathématique [Elektronische Ressource]
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Vlajko Lj. Kocić (1983)
Publications de l'Institut Mathématique
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D. R. Dunninger, Haiyan Wang (1998)
Annales Polonici Mathematici
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We study the existence and multiplicity of positive solutions of the nonlinear equation u''(x) + λh(x)f(u(x)) = 0 subject to nonlinear boundary conditions. The method of upper and lower solutions and degree theory arguments are used.