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arXiv · 1202.4606

Bootstrap regularity for integro-differential operators and its application to nonlocal minimal surfaces

Begoña Barrios Barrera·Alessio Figalli·Enrico Valdinoci
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Abstract

We prove that $C^{1,\alpha}$ $s$-minimal surfaces are automatically $C^\infty$. For this, we develop a new bootstrap regularity theory for solutions of integro-differential equations of very general type, which we believe is of independent interest.

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Begoña Barrios Barrera, Alessio Figalli, Enrico Valdinoci. 2012-02-21. Bootstrap regularity for integro-differential operators and its application to nonlocal minimal surfaces. https://arxiv.org/abs/1202.4606

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