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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| Format: | Article |
| Language: | English |
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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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| _version_ | 1832560766628134912 |
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| author | Kyusik Hong |
| author_facet | Kyusik Hong |
| author_sort | Kyusik Hong |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-d23722f8cef2475087928c33869e0742 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-d23722f8cef2475087928c33869e07422025-02-03T01:26:48ZengWileyAbstract and Applied Analysis1085-33751687-04092015-01-01201510.1155/2015/410896410896Some Inequalities for the Omori-Yau Maximum PrincipleKyusik Hong0Korea Institute for Advanced Study, Hoegiro 85, Seoul 130-722, Republic of KoreaWe 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.http://dx.doi.org/10.1155/2015/410896 |
| spellingShingle | Kyusik Hong Some Inequalities for the Omori-Yau Maximum Principle Abstract and Applied Analysis |
| title | Some Inequalities for the Omori-Yau Maximum Principle |
| title_full | Some Inequalities for the Omori-Yau Maximum Principle |
| title_fullStr | Some Inequalities for the Omori-Yau Maximum Principle |
| title_full_unstemmed | Some Inequalities for the Omori-Yau Maximum Principle |
| title_short | Some Inequalities for the Omori-Yau Maximum Principle |
| title_sort | some inequalities for the omori yau maximum principle |
| url | http://dx.doi.org/10.1155/2015/410896 |
| work_keys_str_mv | AT kyusikhong someinequalitiesfortheomoriyaumaximumprinciple |