Lipschitz Approximation for General Almost Area Minimizing Currents

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2025年9月15日

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Reinaldo Resende

摘要

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