Communications in Analysis and Geometry

Volume 27 (2019)

Number 4

Anisotropic curvature flow of immersed curves

Pages: 937 – 964



Gwenael Mercier (Johann Radon Institute for Computational and Applied Mathematics, Linz, Austria)

Matteo Novaga (Dipartimento di Matematica, Università di Pisa, Italy)

Paola Pozzi (Fakultät für Mathematik, Universität Duisburg-Essen, Essen, Germany)


We prove short-time existence of $\varphi$-regular solutions to the anisotropic and crystalline curvature flow of immersed planar curves.

Received 25 May 2016

Accepted 26 April 2017

Published 8 October 2019