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

Shirsho Mukherjee

Published 2018-05-09Version 1

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 conditions encompass a very wide class of equations with isotropic growth conditions, which are a generalization of the $p$-Laplace type equations in this respect; these also include all equations with polynomial or exponential type growth. In addition, some even more general conditions have also been explored.