Published Paper

Inserted: 16 aug 2012
Last Updated: 14 aug 2024

Journal: Ann. Scuola Norm. Sup. Pisa Cl. Sci.
Year: 2014

Abstract:

We prove that $C^{1,\alpha}$ $s$-minimal surfaces are of class $C^\infty$. 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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