$C^{1,\hat{I}\pm }$-regularity for Mixed Local and Nonlocal Degenerate Elliptic Equations in the Heisenberg Group

Junli Zhang

The regularity theory for equations combining both local and nonlocal operators in sub-Riemannian geometries is a huge challenge. In this paper, we investigate the $C^{1,\hat{I}\pm }$-regul…