English

On the Hopf Lemma

Analysis of PDEs 2011-11-10 v2 Differential Geometry

Abstract

The Hopf Lemma for second order elliptic operators is proved to hold in domains with C1,αC^{1,\alpha}, and even less regular, boundaries. It need not hold for C1C^1 boundaries. Corresponding results are proved for second order parabolic operators.

Keywords

Cite

@article{arxiv.0709.3531,
  title  = {On the Hopf Lemma},
  author = {YanYan Li and L. Nirenberg},
  journal= {arXiv preprint arXiv:0709.3531},
  year   = {2011}
}

Comments

This paper has been withdrawn, since the result had been proved earlier

R2 v1 2026-06-21T09:20:24.597Z