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arXiv · 1804.06697

Compactness methods for $Γ^{1,α}$ boundary Schauder estimates in Carnot groups

Agnid Banerjee·Nicola Garofalo·Isidro Munive
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Abstract

The aim of this paper is to prove $Γ^{1,α}$ Schauder estimates near a $C^{1,α}$ non-characteristic portion of the boundary for $Γ^{0, α}$ 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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Agnid Banerjee, Nicola Garofalo, Isidro Munive. 2018-11-09. Compactness methods for $Γ^{1,α}$ boundary Schauder estimates in Carnot groups. https://arxiv.org/abs/1804.06697

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