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

Begoña Barrios Barrera, Alessio Figalli, Enrico Valdinoci

• We prove that C1,↵ s-minimal surfaces are of class C1. 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.