Mukherjee, Shirsho (2023) C1,α-regularity of quasilinear equations on the Heisenberg group. Journal of Differential Equations, 360. pp. 452-499. DOI https://doi.org/10.1016/j.jde.2023.02.043
Mukherjee, Shirsho (2023) C1,α-regularity of quasilinear equations on the Heisenberg group. Journal of Differential Equations, 360. pp. 452-499. DOI https://doi.org/10.1016/j.jde.2023.02.043
Mukherjee, Shirsho (2023) C1,α-regularity of quasilinear equations on the Heisenberg group. Journal of Differential Equations, 360. pp. 452-499. DOI https://doi.org/10.1016/j.jde.2023.02.043
Abstract
In this article, we reproduce results of classical regularity theory of quasilinear elliptic equations in the divergence form, in the setting of Heisenberg Group. The considered cases encompass a very wide class of equations with isotropic growth conditions that are generalizations of the p-Laplacian and include equations with polynomial or exponential type growth. Some more general conditions have also been explored.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Heisenberg group; Quasilinear equation; C1; ? regularity |
| Divisions: | Faculty of Science and Health Faculty of Science and Health > Mathematics, Statistics and Actuarial Science, School of |
| SWORD Depositor: | Unnamed user with email elements@essex.ac.uk |
| Depositing User: | Unnamed user with email elements@essex.ac.uk |
| Date Deposited: | 18 Sep 2023 14:36 |
| Last Modified: | 30 Oct 2024 21:27 |
| URI: | http://repository.essex.ac.uk/id/eprint/36415 |
Available files
Filename: HC1alphaFinal.pdf
Licence: Creative Commons: Attribution-Noncommercial-No Derivative Works 4.0