Calculus of Variations and Geometric Measure Theory

A. De Rosa - R. Neumayer

Local Minimizers of the Anisotropic Isoperimetric Problem on Closed Manifolds

created by derosa on 10 Aug 2023
modified on 26 Apr 2024


Published Paper

Inserted: 10 aug 2023
Last Updated: 26 apr 2024

Journal: Indiana Univ. Math. J.
Year: 2024

ArXiv: 2308.04565 PDF


Local minimizers for the anisotropic isoperimetric problem in the small-volume regime on closed Riemannian manifolds are shown to be geodesically convex and small smooth perturbations of tangent Wulff shapes, quantitatively in terms of the volume.