The lower bounds of the first eigenvalues for the biharmonic operator on manifolds
Abstract In this paper, we use the Reilly formula and the Hessian comparison theorem to estimate the lower bounds of the first eigenvalues for the biharmonic operator eigenvalue problems (buckling problem and clamped plate problem) on manifolds.
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| Language: | English |
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SpringerOpen
2016-01-01
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| Series: | Journal of Inequalities and Applications |
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| Online Access: | http://link.springer.com/article/10.1186/s13660-015-0948-1 |
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doaj-61841b798ea5414b9212e737ad51671c2020-11-24T20:43:54ZengSpringerOpenJournal of Inequalities and Applications1029-242X2016-01-01201611910.1186/s13660-015-0948-1The lower bounds of the first eigenvalues for the biharmonic operator on manifoldsLiuwei Zhang0Yan Zhao1Department of Mathematics, Tongji UniversityDepartment of Mathematics, Dalian University of TechnologyAbstract In this paper, we use the Reilly formula and the Hessian comparison theorem to estimate the lower bounds of the first eigenvalues for the biharmonic operator eigenvalue problems (buckling problem and clamped plate problem) on manifolds.http://link.springer.com/article/10.1186/s13660-015-0948-1biharmonic operatorbuckling problemclamped plate problemeigenvalueslower bounds |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Liuwei Zhang Yan Zhao |
| spellingShingle |
Liuwei Zhang Yan Zhao The lower bounds of the first eigenvalues for the biharmonic operator on manifolds Journal of Inequalities and Applications biharmonic operator buckling problem clamped plate problem eigenvalues lower bounds |
| author_facet |
Liuwei Zhang Yan Zhao |
| author_sort |
Liuwei Zhang |
| title |
The lower bounds of the first eigenvalues for the biharmonic operator on manifolds |
| title_short |
The lower bounds of the first eigenvalues for the biharmonic operator on manifolds |
| title_full |
The lower bounds of the first eigenvalues for the biharmonic operator on manifolds |
| title_fullStr |
The lower bounds of the first eigenvalues for the biharmonic operator on manifolds |
| title_full_unstemmed |
The lower bounds of the first eigenvalues for the biharmonic operator on manifolds |
| title_sort |
lower bounds of the first eigenvalues for the biharmonic operator on manifolds |
| publisher |
SpringerOpen |
| series |
Journal of Inequalities and Applications |
| issn |
1029-242X |
| publishDate |
2016-01-01 |
| description |
Abstract In this paper, we use the Reilly formula and the Hessian comparison theorem to estimate the lower bounds of the first eigenvalues for the biharmonic operator eigenvalue problems (buckling problem and clamped plate problem) on manifolds. |
| topic |
biharmonic operator buckling problem clamped plate problem eigenvalues lower bounds |
| url |
http://link.springer.com/article/10.1186/s13660-015-0948-1 |
| work_keys_str_mv |
AT liuweizhang thelowerboundsofthefirsteigenvaluesforthebiharmonicoperatoronmanifolds AT yanzhao thelowerboundsofthefirsteigenvaluesforthebiharmonicoperatoronmanifolds AT liuweizhang lowerboundsofthefirsteigenvaluesforthebiharmonicoperatoronmanifolds AT yanzhao lowerboundsofthefirsteigenvaluesforthebiharmonicoperatoronmanifolds |
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1716818632513683456 |