Bemerkungen über nichtlineare Störungen von Schrödinger Operatoren.
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H. Leinfelder, Ch.G. Simader (1975)
Manuscripta mathematica
Loginov, B.V. (2001)
Sibirskij Matematicheskij Zhurnal
J. Smoller, Arthur G. Wasserman (1990)
Inventiones mathematicae
Faraci, Francesca, Iannizzotto, Antonio (2008)
Abstract and Applied Analysis
Tarafdar, E.U., Thompson, H.B. (1985)
International Journal of Mathematics and Mathematical Sciences
B. Buffoni, L. Jeanjean (1993)
Journal für die reine und angewandte Mathematik
Charles A. Stuart, T. Küpper (1990)
Journal für die reine und angewandte Mathematik
Massimiliano Berti, Philippe Bolle (2004)
Bollettino dell'Unione Matematica Italiana
We prove existence of small amplitude, 2p/v-periodic in time solutions of completely resonant nonlinear wave equations with Dirichlet boundary conditions for any frequency belonging to a Cantor-like set of positive measure and for a generic set of nonlinearities. The proof relies on a suitable Lyapunov-Schmidt decomposition and a variant of the Nash-Moser Implicit Function Theorem.
El Khalil, Abdelouahed, Ouanan, Mohammed, Touzani, Bdelfattah (2003)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
Cheng, Yuanji (2006)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Thomas Bartsch (1996)
Banach Center Publications
Benevieri, Pierluigi, Calamai, Alessandro (2008)
Fixed Point Theory and Applications [electronic only]
Francesca Faraci, Roberto Livrea (2003)
Annales Polonici Mathematici
We deal with a bifurcation result for the Dirichlet problem ⎧ a.e. in Ω, ⎨ ⎩. Starting from a weak lower semicontinuity result by E. Montefusco, which allows us to apply a general variational principle by B. Ricceri, we prove that, for μ close to zero, there exists a positive number such that for every the above problem admits a nonzero weak solution in satisfying .
Kohsaka, Fumiaki, Takahashi, Wataru (2007)
Fixed Point Theory and Applications [electronic only]
Milan Kučera (1975)
Czechoslovak Mathematical Journal
Svatopluk Fučík (1974)
Czechoslovak Mathematical Journal
Kufner, Alois (1986)
Equadiff 6
M. Cecchi, M. Marini, P. L. Zezza (1984)
Annales Polonici Mathematici
Jean Mawhin (1984)
Commentationes Mathematicae Universitatis Carolinae
Kreulich, Josef (2002)
Abstract and Applied Analysis
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