Variational methods for breather solutions of Nonlinear Wave Equations
arXiv:2009.02028 · doi:10.1088/1361-6544/abed38
Abstract
We construct infinitely many real-valued, time-periodic breather solutions of power-type nonlinear wave equations. These solutions are obtained from critical points of a dual functional and they are weakly localized in space. Our abstract framework allows to find similar existence results for the Klein-Gordon equation or biharmonic wave equations.
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