Interior Pointwise Gradient Estimates for Quasilinear Elliptic Equations in Heisenberg Group

Abstract

Let n∈N and Hn be the Heisenberg group of dimension 2n+1. Let Ω be a bounded open subset of Hn and p∈(1,Q), where Q is the homogeneous dimension of Hn. Within an appropriate framework, we prove an interior pointwise gradient estimate for a weak solution to the problem