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

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Annali della Scuola Normale Superiore di Pisa- Classe di Scienze 13 (3):609-639 (2014)
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Abstract

We prove that C1as-minimal surfaces are of class C∞. 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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10.2422/2036-2145.201202_007

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