We show existence of homothetically shrinking solutions of the fractional mean curvature flow, whose boundary consists in a prescribed number of concentric spheres. We prove that all these solutions, except from the ball, are dynamically unstable.
Symmetric Self-Shrinkers for the Fractional Mean Curvature Flow
Cesaroni Annalisa;
2020
Abstract
We show existence of homothetically shrinking solutions of the fractional mean curvature flow, whose boundary consists in a prescribed number of concentric spheres. We prove that all these solutions, except from the ball, are dynamically unstable.File in questo prodotto:
File | Dimensione | Formato | |
---|---|---|---|
omotetico-final.pdf
accesso aperto
Tipologia:
Preprint (submitted version)
Licenza:
Accesso gratuito
Dimensione
415.45 kB
Formato
Adobe PDF
|
415.45 kB | Adobe PDF | Visualizza/Apri |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.