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arXiv · 1804.06697

Compactness methods for $\Gamma^{1,\alpha}$ 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 $\Gamma^{1,\alpha}$ Schauder estimates near a $C^{1,\alpha}$ non-characteristic portion of the boundary for $\Gamma^{0, \alpha}$ 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. 2018-04-18. Compactness methods for $\Gamma^{1,\alpha}$ boundary Schauder estimates in Carnot groups. https://arxiv.org/abs/1804.06697

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