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Some Inequalities for the Omori-Yau Maximum Principle

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  • Kyusik Hong

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.

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  • Kyusik Hong, 2015. "Some Inequalities for the Omori-Yau Maximum Principle," Abstract and Applied Analysis, Hindawi, vol. 2015, pages 1-7, July.
    • Handle: RePEc:hin:jnlaaa:410896
    DOI: 10.1155/2015/410896
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