English

$C^{1,\alpha}$-Regularity for variational problems in the Heisenberg group

Analysis of PDEs 2021-03-23 v2

Abstract

We study the regularity of minima of scalar variational integrals of pp-growth, 1<p<1<p<\infty, in the Heisenberg group and prove the H\"older continuity of horizontal gradient of minima.

Keywords

Cite

@article{arxiv.1711.04671,
  title  = {$C^{1,\alpha}$-Regularity for variational problems in the Heisenberg group},
  author = {Shirsho Mukherjee and Xiao Zhong},
  journal= {arXiv preprint arXiv:1711.04671},
  year   = {2021}
}

Comments

arXiv admin note: text overlap with arXiv:1711.03284

R2 v1 2026-06-22T22:44:24.878Z