Lipschitz approximation for general almost area minimizing currents

2023/06/21 by Reinaldo Resende, Resende, Reinaldo
Computer Science · Mathematics · #49Q05 #49Q15 #49Q20 #53A10 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical Approximation and Integration #Numerical methods in inverse problems

paper · pdf · doi:10.48550/arxiv.2306.12530

openalex publication_date 2023/06/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

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.

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