Symmetric self-shrinkers for the fractional mean curvature flow
classification
🧮 math.AP
math.DG
keywords
curvatureflowfractionalmeansolutionsballboundaryconcentric
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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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