Some Inequalities for the Omori-Yau Maximum Principle
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...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2015-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2015/410896 |
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| 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. |
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| ISSN: | 1085-3375 1687-0409 |