English

Gradient estimates for an orthotropic nonlinear diffusion equation in the Heisenberg group

Analysis of PDEs 2025-10-14 v2

Abstract

We prove local Lipschitz regularity for weak solutions to a parabolic orthotropic pp-Laplacian-type equation in the Heisenberg group \Hn\Hn, for the range 2p42\leq p\leq4.

Keywords

Cite

@article{arxiv.2505.01354,
  title  = {Gradient estimates for an orthotropic nonlinear diffusion equation in the Heisenberg group},
  author = {Michele Circelli},
  journal= {arXiv preprint arXiv:2505.01354},
  year   = {2025}
}