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Mathematics > Analysis of PDEs

arXiv:1804.00751 (math)
[Submitted on 2 Apr 2018 (v1), last revised 6 Mar 2019 (this version, v2)]

Title:On Local Lipschitz Regularity For Quasilinear equations in the Heisenberg Group

Authors:Shirsho Mukherjee
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Abstract:The goal of this article is to establish local Lipschitz continuity of weak solutions for a class of degenerated elliptic equations of divergence form, in the Heisenberg Group. The considered hypothesis for the growth and ellipticity condition is a natural generalization of the p-Laplace equation and more general quasilinear elliptic equations with polynomial or exponential type growth.
Comments: 25 pages
Subjects: Analysis of PDEs (math.AP)
MSC classes: 35R03, 35J62, 35J70, 35J75
Cite as: arXiv:1804.00751 [math.AP]
  (or arXiv:1804.00751v2 [math.AP] for this version)
  https://doi.org/10.48550/arXiv.1804.00751
Journal reference: Nonlinear Analysis Volume 212, November 2021, 112453
Related DOI: https://doi.org/10.1016/j.na.2021.112453

Submission history

From: Shirsho Mukherjee [view email]
[v1] Mon, 2 Apr 2018 22:35:28 UTC (28 KB)
[v2] Wed, 6 Mar 2019 07:07:31 UTC (29 KB)
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