Regularity for quasilinear PDEs in Carnot groups via Riemannian approximation

We study the interior regularity of weak solutions to subelliptic quasilinear PDEs in Carnot groups of the formΣi=1m1Xi (Φ(|∇Hu|2)Xiu) = 0. Here ∇Hu = (X1u,...,Xmiu) is the horizontal gradient, δ > 0 and the exponent p ∈ [2, p*), where p* depends on the step ν and the homogeneous dimension Q...

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Bibliographic Details
Main Authors: András Domokos, Juan J. Manfredi
Format: Article
Language:English
Published: University of Bologna 2020-03-01
Series:Bruno Pini Mathematical Analysis Seminar
Subjects:
Online Access:https://mathematicalanalysis.unibo.it/article/view/10589