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

Abstract

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.

long version, corrections made

Cited by in corpus (3)

• Regularity of quasi-linear equations with Hörmander vector fields of step two
• Weak Differentiability to Nonuniform Nonlinear Degenerate Elliptic Systems under $p,q$-growth Condition on the Heisenberg Group
• Regularity for Mixed Local and Nonlocal Degenerate Elliptic Equations in the Heisenberg Group