Harnack inequality for nonlocal problems with non-standard growth

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.

14 pages

References in corpus (1)

• Harnack inequality for nonlocal problems with non-standard growth

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