We prove local Lipschitz regularity for weak solutions to a class of degenerate parabolic PDEs modeled on the parabolic p-Laplacian in the Heisenberg group Hn, and 2 ≤ p ≤ 4. The result continues to hold in the more general setting of contact subRiemannian manifolds.
Capogna L., Citti G., Zhong X. (2023). Lipschitz regularity for solutions of the parabolic p-Laplacian in the Heisenberg group. ANNALES FENNICI MATHEMATICI, 48(2), 411-428 [10.54330/afm.131227].
Lipschitz regularity for solutions of the parabolic p-Laplacian in the Heisenberg group
Citti G.;
2023
Abstract
We prove local Lipschitz regularity for weak solutions to a class of degenerate parabolic PDEs modeled on the parabolic p-Laplacian in the Heisenberg group Hn, and 2 ≤ p ≤ 4. The result continues to hold in the more general setting of contact subRiemannian manifolds.File in questo prodotto:
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