Calculus of Variations and Geometric Measure Theory

R. Resende

Lipschitz approximation for general almost area minimizing currents

created by resende on 23 Jun 2023

[BibTeX]

Submitted Paper

Inserted: 23 jun 2023

Pages: 24
Year: 2023

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.