Some inequalities for the Omori-Yau maximum principle
type: Item
instance of: scholarly article
title: Some inequalities for the Omori-Yau maximum principle
zbMATH Open document ID: 1433.35438
DOI: 10.1155/2015/410896
author: Kyusik Hong
published in: Abstract and Applied Analysis
publication date: 2018-08-29T00:00:00Z
review text: 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)].
Mathematics Subject Classification ID: 35R01
Mathematics Subject Classification ID: 35B50
Mathematics Subject Classification ID: 35J15
Mathematics Subject Classification ID: 53C21
zbMATH DE Number: 6929064
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/410896
OpenAlex ID: W1915621742
Wikidata QID: Q59101624
cites work: Isometric immersions of Riemannian manifolds
cites work: Harmonic functions on complete riemannian manifolds
cites work: A Generalized Maximum Principle and its Applications in Geometry
cites work: On the Omori-Yau maximum principle and its applications to differential equations and geometry
cites work: Spectral and stochastic properties of the \(f\)-Laplacian, solutions of PDEs at infinity and geometric applications
cites work: The Ahlfors-Schwarz lemma in several complex variables
cites work: On the Omori-Yau almost maximum principle
cites work: An Omori-Yau maximum principle for semi-elliptic operators and Liouville-type theorems
cites work: A remark on the maximum principle and stochastic completeness
cites work: Maximum principles on Riemannian manifolds and applications
cites work: A volume estimate for strong subharmonicity and maximum principle on complete Riemannian manifolds
cites work: A general form of the weak maximum principle and some applications
cites work: Maximum principle for semi-elliptic trace operators and geometric applications
cites work: Q4371081
description: scientific article; zbMATH DE number 6929064