MAXIMIZATION OF THE SECOND LAPLACIAN EIGENVALUE ON THE SPHERE
We prove a sharp isoperimetric inequality for the second nonzero eigenvalue of the Laplacian on Sm. For S2, the second nonzero eigenvalue becomes maximal as the surface degenerates to two disjoint spheres, by a result of Nadirashvili for which Petrides later gave another proof. For higher dimensiona...
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| Format: | Article |
| Language: | English |
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American Mathematical Society
2022
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| Online Access: | View Fulltext in Publisher |