Variational methods for breather solutions of Nonlinear Wave Equations

Published 4 Sep 2020 in math.AP | (2009.02028v3)

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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