Some Inequalities for the Omori-Yau Maximum Principle

Kyusik Hong

Abstract and Applied Analysis, 2015, vol. 2015, 1-7

Abstract:

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 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.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:410896

DOI: 10.1155/2015/410896

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