Work

Lipschitz approximation for general almost area minimizing currents

Year: 2023

Type: preprint

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

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2306.12530

Author: Resende, Reinaldo

Institution: Carnegie Mellon University

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Princeton University, Fields Institute for Research in Mathematical Sciences, Fundação de Amparo à Pesquisa do Estado de São Paulo, Coordenação de Aperfeiçoamento de Pessoal de Nível Superior, Division of Mathematical Sciences

Awards: G6438247056, G8262246763, Geometric variational problems: existence, regularity and geometrical characterization of the solutions, G8532924495

OpenAlex ID: W4381826803

Cites:

Cited by: 1

Related to: 10