In this article, we reproduce results of classical regularity theory of quasilinear elliptic equations in the divergence form, in the setting of Heisenberg Group. The considered cases encompass a very wide class of equations with isotropic growth conditions that are generalizations of the $p$-Laplacian type equation and also include equations with polynomial or exponential type growth. Some more general conditions have also been explored.

Categories: math.AP

$C^{1,\alpha}$-Regularity of Quasilinear equations on the Heisenberg Group