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Isoperimetric bounds
for lower-order eigenvalues
Fuquan Fang and Changyu Xia |
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Vol. 317 (2022), No. 2, 297–316
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Abstract |
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New isoperimetric inequalities for lower-order eigenvalues of the Laplacian on closed hypersurfaces, of the biharmonic Steklov problems and of the Wentzell–Laplace on bounded domains in a Euclidean space are proven. Some open questions for further study are also proposed. |
Keywords
isoperimetric inequalities, eigenvalues, Laplacian,
biharmonic Steklov problems, Wentzell–Laplace operator
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Mathematical Subject Classification
Primary: 35P15, 53C40, 53C42, 58C40
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Milestones
Received: 28 October 2021
Revised: 27 January 2022
Accepted: 9 February 2022
Published: 14 July 2022
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Authors |
| Fuquan Fang | |
| School of Mathematics Capital Normal University Beijing China |
Department of Mathematics Southern University of Science and Technology Shenzen Guandong China |
| Changyu Xia | |
| Department of Mathematics Southern University of Science and Technology Shenzen Guandong China |
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