Lipschitz approximation for general almost area minimizing currents

Reinaldo Resende

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arXiv · 2306.12530

Lipschitz approximation for general almost area minimizing currents

Reinaldo Resende

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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 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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Reinaldo Resende. 2023-06-21. Lipschitz approximation for general almost area minimizing currents. https://arxiv.org/abs/2306.12530

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