Multiplicity of periodic solutions of nonlinear wave equations
By Massimiliano Berti, P. Bolle. 2004
58 citations recorded by the source corpus.
Subfields: Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/0b3aee2fab0da1e3bf2422d6eaf7b54c99691999
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In Statistical and Nonlinear Physics
- Massimiliano Berti
- P. Bolle
- Michela Procesi
- Riccardo Montalto
- Pierre Baldi
- Livia Corsi
- Ivar Ekeland
- Luca Biasco
Citations in the corpus
- Periodic Solutions of Nonlinear Wave Equations with General Nonlinearities (2002, background): “We can prove that the number Nω of non-trivial critical points of � ω in D increases to +∞ as the frequency ω tends to 1. These and other results are presented in Sect. 4 and proved in [ 8 ].”
- Cantor families of periodic solutions for completely resonant nonlinear wave equations (2004, methodology): “The novelty of [4]-[5] was to solve the bifurcation equation via a variational principle at fixed frequency which, jointly with min-max arguments, enables to find solutions of (1) as critical points of the Lagrangian action functional.”
- Periodic Solutions for Completely Resonant Nonlinear Wave Equations with Dirichlet Boundary Conditions (2004, background): “As in [3] and [5] we also consider the problem of finding how many solutions can be obtained with a given period, and we study their minimal period.”