Calculus of Variations and Geometric Measure Theory

R. Resende

Lipschitz approximation for general almost area minimizing currents

created by resende on 23 Jun 2023
modified on 24 Sep 2025

[BibTeX]

Published Paper

Inserted: 23 jun 2023
Last Updated: 24 sep 2025

Journal: The Journal of Geometric Analysis
Pages: 24
Year: 2023
Doi: https://doi.org/10.1007/s12220-025-02191-1

ArXiv: 2306.12530 PDF

Abstract:

We prove a Lipschitz approximation with superlinear error terms for integral currents $\omega$-minimizing the area functional, where $\omega$ is a modulus of continuity. We also present an almost monotonicity result for the density of these general almost area minimzing currents.