Isoperimetric inequalities of the fourth order Neumann eigenvalues
Abstract In this paper, we obtain some isoperimetric inequalities for the first ( n − 1 ) $(n-1)$ eigenvalues of the fourth order Neumann Laplacian on bounded domains in an n-dimensional Euclidean space. Our result supports strongly the conjecture of Chasman.
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-08-01
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| Series: | Journal of Inequalities and Applications |
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| Online Access: | http://link.springer.com/article/10.1186/s13660-020-02476-9 |
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doaj-655866d81c354a0fb4776b222765f08d2020-11-25T03:20:48ZengSpringerOpenJournal of Inequalities and Applications1029-242X2020-08-012020111010.1186/s13660-020-02476-9Isoperimetric inequalities of the fourth order Neumann eigenvaluesYanlin Deng0Feng Du1School of Mathematics and Physics, Jingchu University of TechnologySchool of Mathematics and Physics, Jingchu University of TechnologyAbstract In this paper, we obtain some isoperimetric inequalities for the first ( n − 1 ) $(n-1)$ eigenvalues of the fourth order Neumann Laplacian on bounded domains in an n-dimensional Euclidean space. Our result supports strongly the conjecture of Chasman.http://link.springer.com/article/10.1186/s13660-020-02476-9EigenvaluesNeumann problemIsoperimetric inequality |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Yanlin Deng Feng Du |
| spellingShingle |
Yanlin Deng Feng Du Isoperimetric inequalities of the fourth order Neumann eigenvalues Journal of Inequalities and Applications Eigenvalues Neumann problem Isoperimetric inequality |
| author_facet |
Yanlin Deng Feng Du |
| author_sort |
Yanlin Deng |
| title |
Isoperimetric inequalities of the fourth order Neumann eigenvalues |
| title_short |
Isoperimetric inequalities of the fourth order Neumann eigenvalues |
| title_full |
Isoperimetric inequalities of the fourth order Neumann eigenvalues |
| title_fullStr |
Isoperimetric inequalities of the fourth order Neumann eigenvalues |
| title_full_unstemmed |
Isoperimetric inequalities of the fourth order Neumann eigenvalues |
| title_sort |
isoperimetric inequalities of the fourth order neumann eigenvalues |
| publisher |
SpringerOpen |
| series |
Journal of Inequalities and Applications |
| issn |
1029-242X |
| publishDate |
2020-08-01 |
| description |
Abstract In this paper, we obtain some isoperimetric inequalities for the first ( n − 1 ) $(n-1)$ eigenvalues of the fourth order Neumann Laplacian on bounded domains in an n-dimensional Euclidean space. Our result supports strongly the conjecture of Chasman. |
| topic |
Eigenvalues Neumann problem Isoperimetric inequality |
| url |
http://link.springer.com/article/10.1186/s13660-020-02476-9 |
| work_keys_str_mv |
AT yanlindeng isoperimetricinequalitiesofthefourthorderneumanneigenvalues AT fengdu isoperimetricinequalitiesofthefourthorderneumanneigenvalues |
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1724616591288565760 |