Bifurcation and symmetry in problems of capillary-gravity waves.
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Bifurcation of free vibrations for completely resonant wave equations
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.
Bifurcation of nonlinear elliptic system from the first eigenvalue.
El Khalil, Abdelouahed, Ouanan, Mohammed, Touzani, Bdelfattah (2003)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
Bifurcation of positive solutions for a semilinear equation with critical Sobolev exponent.
Cheng, Yuanji (2006)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Bifurcation results for a class of perturbed Fredholm maps.
Benevieri, Pierluigi, Calamai, Alessandro (2008)
Fixed Point Theory and Applications [electronic only]
Currently displaying 1 – 5 of 5
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