Article citationsMore>>

Mingione, G., Zatorska-Goldstein, A. and Zhong, X. (2009) Gradient Regularity for Elliptic Equations in the Heisenberg Group. Advances in Mathematics, 222, 62-129.
https://doi.org/10.1016/j.aim.2009.03.016

has been cited by the following article:

• TITLE: Besov Estimates for Sub-Elliptic Equations in the Heisenberg Group

  AUTHORS: Huimin Cheng, Feng Zhou

  KEYWORDS: Heisenberg Group, Sub-Elliptic Equations, Regularity, Besov Spaces

  JOURNAL NAME: Advances in Pure Mathematics, Vol.14 No.9, September 13, 2024

  ABSTRACT: In this article, we deal with weak solutions to non-degenerate sub-elliptic equations in the Heisenberg group, and study the regularities of solutions. We establish horizontal Calderón-Zygmund type estimate in Besov spaces with more general assumptions on coefficients for both homogeneous equations and non-homogeneous equations. This study of regularity estimates expands the Calderón-Zygmund theory in the Heisenberg group.