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

Begoña Barrios, Alessio Figalli, Enrico Valdinoci

Research output: Contribution to journalArticlepeer-review

63 Citations (Scopus)

Abstract

We prove that C1,α s-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.

Original languageEnglish
Pages (from-to)609-639
Number of pages31
JournalAnnali della Scuola normale superiore di Pisa - Classe di scienze
Volume13
Issue number3
Publication statusPublished - 1 Jan 2014
Externally publishedYes

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