Calculus of Variations and Geometric Measure Theory

S. Mukherjee

On Local Lipschitz Regularity For Quasilinear equations in the Heisenberg Group

created by mukherjee on 19 Feb 2019
modified on 19 Jun 2021


Published Paper

Inserted: 19 feb 2019
Last Updated: 19 jun 2021

Journal: Nonlinear Analysis
Year: 2021
Doi: 10.1016/

ArXiv: 1804.00751 PDF


The goal of this article is to establish local Lipschitz continuity of weak solutions for a class of degenerated elliptic equations of divergence form, in the Heisenberg Group. The considered hypothesis for the growth and ellipticity condition is a natural generalization of the p-Laplace equation and more general quasilinear elliptic equations with polynomial or exponential type growth.