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.
Bootstrap regularity for integro-differential operators and its application to nonlocal minimal surfaces / B. Barrios, A. Figalli, E. Valdinoci. - In: ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA. CLASSE DI SCIENZE. - ISSN 0391-173X. - 13:3(2014), pp. 609-639.
Bootstrap regularity for integro-differential operators and its application to nonlocal minimal surfaces
E. ValdinociUltimo
2014
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.
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