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We construct infinitely many real-valued, time-periodic breather solutions of the nonlinear wave equation ∂ttU−ΔU=Q(x)|U|p−2UonT×RN with suitable N ⩾ 2, p > 2 and localized nonnegative Q. These solutions are obtained… Click to show full abstract
We construct infinitely many real-valued, time-periodic breather solutions of the nonlinear wave equation ∂ttU−ΔU=Q(x)|U|p−2UonT×RN with suitable N ⩾ 2, p > 2 and localized nonnegative Q. 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 nonlinear Klein–Gordon equation and biharmonic wave equations.
Keywords:
solutions nonlinear;
methods breather;
variational methods;
breather solutions;
wave equations;
nonlinear wave
Journal Title: Nonlinearity
Year Published: 2021
Link to full text (if available)
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Journal Title: Nonlinearity
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!