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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.
Juan J. Nieto (1990)
Commentationes Mathematicae Universitatis Carolinae
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Amster, P., De Nápoli, P. (2006)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Lavrent'ev, I.M., Sćepanović, R. (1984)
Publications de l'Institut Mathématique. Nouvelle Série
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Ahmad, Bashir, Alghamdi, Badra Salah (2009)
Applied Mathematics E-Notes [electronic only]
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Liu, Zeqing, Sun, Juhe, Shim, Soo Hak, Kang, Shin Min (2005)
International Journal of Mathematics and Mathematical Sciences
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J.D. Keckic (1979)
Publications de l'Institut Mathématique [Elektronische Ressource]
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Ravindran Kannan, Rafael Ortega (1987)
Czechoslovak Mathematical Journal
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Liu, Zeqing, Zhu, Beibei, Kang, Shin Min, Kim, Gwang Il (2005)
International Journal of Mathematics and Mathematical Sciences
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Nikolaos Kourogenis, Nikolaos Papageorgiou (1998)
Colloquium Mathematicae
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In this paper we study a quasilinear resonant problem with discontinuous right hand side. To develop an existence theory we pass to a multivalued version of the problem, by filling in the gaps at the discontinuity points. We prove the existence of a nontrivial solution using a variational approach based on the critical point theory of nonsmooth locally Lipschitz functionals.