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20082021
most citedOn an elliptic system with symmetric potential possessing two global minima

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math.AP2020

Periodic motions for multi-wells potentials and layers dynamic for the vector Allen-Cahn equation

Giorgio Fusco

We consider a nonnegative potential that vanishes on a finite set and study the existence of periodic orbits of the equation \[\ddot{u}=W_u(u),\;\;t\in\R,\] that have the prope…