A remark on the Omori-Yau maximum principle for semi-elliptic operators
Differential Geometry
2014-09-26 v4
Abstract
We generalize A. Borb\'ely's condition for the conclusion of the Omori-Yau maximum principle for the Laplace operator on a complete Riemannian manifold to a second-order linear semi-elliptic operator with bounded coefficients and no zeroth order term. Also, we consider a new sufficient condition for the existence of a tamed exhaustion function. As a corollary, we show that the existence of a tamed exhaustion function is more general than the hypotheses in the version of the Omori-Yau maximum principle that was given by A. Ratto, M. Rigoli and A.G. Setti.
Keywords
Cite
@article{arxiv.1309.7725,
title = {A remark on the Omori-Yau maximum principle for semi-elliptic operators},
author = {Kyusik Hong},
journal= {arXiv preprint arXiv:1309.7725},
year = {2014}
}
Comments
12 pages; This paper has been withdrawn by the author. A substantially altered paper will be submitted incorporating major corrections, additions and improvements