English

On the $C^{1,\alpha}$ Regularity of $p$-Harmonic Functions in the Heisenberg Group

Analysis of PDEs 2017-10-11 v4

Abstract

We present a proof of the local H\"older regularity of the horizontal derivatives of weak solutions to the pp-Laplace equation in the Heisenberg group H1\mathbb{H}^1 for p>4p>4 .

Keywords

Cite

@article{arxiv.1606.07951,
  title  = {On the $C^{1,\alpha}$ Regularity of $p$-Harmonic Functions in the Heisenberg Group},
  author = {Diego Ricciotti},
  journal= {arXiv preprint arXiv:1606.07951},
  year   = {2017}
}

Comments

13 pages; Updated references and corrected typos