Compactness methods for 1,α boundary Schauder estimates in Carnot groups

Abstract

The aim of this paper is to prove 1,α Schauder estimates near a C1,α non-characteristic portion of the boundary for 0, α perturbations of horizontal Laplaceans in Carnot groups. This situation of minimally smooth domains presents itself naturally in the study of subelliptic free boundary problems of obstacle type, see [15].

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