Lipschitz approximation for general almost area minimizing currents

We prove a Lipschitz approximation with superlinear error terms for integral currents $\omega$-minimizing the area functional, where $\omega$ 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 c...

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Bibliographic Details
Main Author Resende, Reinaldo
Format Journal Article
LanguageEnglish
Published 21.06.2023
Subjects
Mathematics - Analysis of PDEs
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Summary:We prove a Lipschitz approximation with superlinear error terms for integral currents $\omega$-minimizing the area functional, where $\omega$ 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.
DOI:10.48550/arxiv.2306.12530