Harnack inequality for nonlocal problems with non-standard growth (2202.04571v1)

Published 9 Feb 2022 in math.AP

Abstract: We prove a full Harnack inequality for local minimizers, as well as weak solutions to nonlocal problems with non-standard growth. The main auxiliary results are local boundedness and a weak Harnack inequality for functions in a corresponding De Giorgi class. This paper builds upon a recent work on regularity estimates for such nonlocal problems by the same authors.

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