Partial Hölder continuity for nonlinear sub-elliptic systems with VMO-coefficients in the Heisenberg group

We consider nonlinear sub-elliptic systems with VMO-coefficients in the Heisenberg group and prove partial Hölder continuity results for weak solutions using a generalization of the technique of 𝒜{\mathcal{A}}-harmonic approximation. The model case is the following non-degenerate p-sub-Laplace syste...

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Bibliographic Details
Main Authors: Wang Jialin, Manfredi Juan J.
Format: Article
Language:English
Published: De Gruyter 2018-02-01
Series:Advances in Nonlinear Analysis
Subjects:
Online Access:https://doi.org/10.1515/anona-2015-0182