Document Type
Article
Publication Date
4-2023
Abstract
This note provides a succinct survey of the existing literature concerning the H¨older regularity for the gradient of weak solutions of PDEs of the form modeled on the p-Laplacian in a domain Ω in the Heisenberg group Hn, with 1 ≤ p < ∞, and of its parabolic counterpart. We present some open problems and outline some of the difficulties they present.
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Rights
Licensed to Smith College and distributed CC-BY 4.0 under the Smith College Faculty Open Access Policy
Recommended Citation
Capogna, Luca; Citti, Giovanna; and Zhong, Xiao, "Regularity Theory of Quasilinear Ellipitic and Parabolic Equations in the Heisenberg Group" (2023). Mathematics Sciences: Faculty Publications, Smith College, Northampton, MA.
https://scholarworks.smith.edu/mth_facpubs/178
Comments
Peer reviewed accepted manuscript.