Some inequalities for the Omori-Yau maximum principle
Summary: We generalize A. Borbély'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 semielliptic operator \(L\) with bounded coefficients and no zeroth order term. Also, we consider a new sufficient condition for the existence of a tamed exhaustion function. From these results, we may remark 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 [\textit{A. Ratto} et al., J. Funct. Anal. 134, No. 2, 486-510 (1995; Zbl 0855.58021)].
scientific article; zbMATH DE number 6929064
scientific article