Symmetric self-shrinkers for the fractional mean curvature flow

Published 5 Dec 2018 in math.AP and math.DG | (1812.01847v2)

Abstract: We show existence of homothetically shrinking solutions of the fractional mean curvature flow, whose boundary consists in a prescribed numbers of concentric spheres. We prove that all these solutions, except from the ball, are dynamically unstable.

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