On local Lipschitz regularity for quasilinear equations in the Heisenberg group. (November 2021)

• Record Type: Journal Article
• Authors: Mukherjee, Shirsho
• Is Part Of: Nonlinear analysis. Volume 212(2021)
• Publication Date: 2021-11
• Subjects: primary 35R03 35J62 35J70 35J75; Heisenberg group -- Quasilinear equation -- Lipschitz regularity; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2021.112453
• Languages: English
• ISSNs: 0362-546X

Abstract

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