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 / Capogna L.; Citti G.; Garofalo N.. - In: MATHEMATICS IN ENGINEERING. - ISSN 2640-3501. - STAMPA. - 3:1(2021), pp. 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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