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 Hn. Given a number p ≥ 2, in this paper we establish the C1 smoothness of weak solutions of a class of quasilinear PDE in Hn modeled on the equation.

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

Citti G.;
2021

Abstract

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 Hn. Given a number p ≥ 2, in this paper we establish the C1 smoothness of weak solutions of a class of quasilinear PDE in Hn modeled on the equation.
2021
Capogna L.; Citti G.; Garofalo N.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/839815
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