Regularity of Inhomogeneous Quasi-Linear Equations on the Heisenberg Group

Year:    2021

Author:    Shirsho Mukherjee, Yannick Sire

Analysis in Theory and Applications, Vol. 37 (2021), Iss. 4 : pp. 520–540

Abstract

We establish Hölder continuity of the horizontal gradient of weak solutions to quasi-linear $p$-Laplacian type non-homogeneous equations in the Heisenberg Group.

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/ata.OA-2020-0040

Analysis in Theory and Applications, Vol. 37 (2021), Iss. 4 : pp. 520–540

Published online:    2021-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    21

Keywords:    Non-homogeneous.

Author Details

Shirsho Mukherjee

Yannick Sire

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