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arXiv:1408.6982 [math.OC]AbstractReferencesReviewsResources

Optimality conditions for the buckling of a clamped plate

Kathrin Knappmann, Alfred Wagner

Published 2014-08-29Version 1

We prove the following uniqueness result for the buckling plate. Assume there exists a smooth domain which minimizes the first buckling eigenvalue for a plate among all smooth domains of given volume. Then the domain must be a ball. The proof uses the second variation for the buckling eigenvalue and an inequality by L. E. Payne to establish this result.

Categories: math.OC
Subjects: 49K20, 49R05, 35J20, 35N25
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