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On upper bounds for high order Neumann eigenvalues of convex domains in Euclidean space |
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| Authors: | Pawel Krö ger |
| Institution: | Department of Mathematics, Temple University, Philadelphia, Pennsylvania 19122 |
| Abstract: | We derive sharp upper bounds for eigenvalues of the Laplacian under Neumann boundary conditions on convex domains with given diameter in Euclidean space. We use the Brunn-Minkowski theorem in order to reduce the problem to a question about eigenvalues of certain classes of Sturm-Liouville problems. |
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