Regularity estimates for fractional orthotropic $p$-Laplacians of mixed order

Published 15 Apr 2021 in math.AP | (2104.07507v3)

Abstract: We study robust regularity estimates for a class of nonlinear integro-differential operators with anisotropic and singular kernels. In this paper, we prove a Sobolev-type inequality, a weak Harnack inequality, and a local H\"older estimate.

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