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.
Capogna L., Citti G., Garofalo N. (2021). Regularity for a class of quasilinear degenerate parabolic equations in the Heisenberg group. MATHEMATICS IN ENGINEERING, 3(1), 1-31 [10.3934/mine.2021008].
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.File in questo prodotto:
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