some inequalities for the omori-yau maximum principle
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2015
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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 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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hong2015abstractsome
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| Authors | ;Kyusik Hong |
| Journal | science and technology of advanced materials |
| Year | 2015 |
| DOI |
10.1155/2015/410896
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