English

A note on the Harnack inequality for elliptic equations in divergence form

Analysis of PDEs 2019-01-21 v1

Abstract

In 1957, De Giorgi [3] proved the H\"{o}lder continuity for elliptic equations in divergence form and Moser [7] gave a new proof in 1960. Next year, Moser [8] obtained the Harnack inequality. In this note, we point out that the Harnack inequality was hidden in [3].

Keywords

Cite

@article{arxiv.1901.06128,
  title  = {A note on the Harnack inequality for elliptic equations in divergence form},
  author = {Dongsheng Li and Kai Zhang},
  journal= {arXiv preprint arXiv:1901.06128},
  year   = {2019}
}
R2 v1 2026-06-23T07:15:26.001Z