Lipschitz regularity for solutions of the parabolic p-Laplacian in the Heisenberg group

DOI10.54330/afm.131227zbMath1522.35536arXiv2106.05998MaRDI QIDQ6178192

Xiao Zhong, Giovanna Citti, Luca Capogna

Publication date: 1 September 2023

Published in: Annales Fennici Mathematici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.05998

zbMATH Keywords

Heisenberg groupparabolic gradient estimatessubelliptic \(p\)-Laplacian

Mathematics Subject Classification ID

Degenerate parabolic equations (35K65) Weak solutions to PDEs (35D30) Subelliptic equations (35H20) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03) Quasilinear parabolic equations with (p)-Laplacian (35K92)

Cites Work

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• Harnack estimates for degenerate parabolic equations modeled on the subelliptic \(p\)-Laplacian
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• p-Laplace Equation in the Heisenberg Group
• Hälder regularity for the gradient of solutions of certain singular parabolic systems
• On the 𝐶^{1,𝛼} regularity of 𝑝-harmonic functions in the Heisenberg group

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