Bootstrap regularity for integro-differential operators and its application to nonlocal minimal surfaces
Begoña Barrios Barrera, Alessio Figalli, Enrico Valdinoci · ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE · 2014
We prove that C 1,↵ s-minimal surfaces are of class C 1 .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.