Preprint

Inserted: 26 apr 2022
Last Updated: 26 apr 2022

Year: 2022
Links: arXiv, PDF

Abstract:

In this note we prove uniqueness of nondegenerate compact blowups for the motion by curvature of planar networks. The proof follows ideas introduced in "Lojasiewicz-Simon inequalities for minimal networks: stability and convergence" for the study of stability properties of critical points of the length functional and it is based on the application of a Lojasiewicz-Simon gradient inequality.