Regularity for a class of quasilinear degenerate parabolic equations in the Heisenberg group

We extend to the parabolic setting some of the ideas originated with Xiao Zhong's proof in [31] of the Hölder regularity of $p-$harmonic functions in the Heisenberg group $\mathbb{H}^n$. Given a number $p\ge 2$, in this paper we establish the $C^{\infty}$ smoothness of weak solutions of a class...

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Bibliographic Details
Main Authors: Luca Capogna, Giovanna Citti, Nicola Garofalo
Format: Article
Language:English
Published: AIMS Press 2021-10-01
Series:Mathematics in Engineering
Subjects:
Online Access:https://www.aimspress.com/article/10.3934/mine.2021008/fulltext.html