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Regularity Theory for Nonlocal Equations with General Growth in the Heisenberg Group

Regularity Theory for Nonlocal Equations with General Growth in the Heisenberg Group

Abstract We deal with a wide class of generalized nonlocal $p$-Laplace equations, so-called nonlocal $G$-Laplace equations, in the Heisenberg framework. Under natural hypotheses on the $N$-function $G$, we provide a unified approach to investigate in the spirit of De Giorgi-Nash-Moser theory, some local properties of weak solutions to such kind …