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arXiv · 1408.6982

Optimality conditions for the buckling of a clamped plate

Kathrin Knappmann·Alfred Wagner
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Abstract

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.

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Kathrin Knappmann, Alfred Wagner. 2014-08-29. Optimality conditions for the buckling of a clamped plate. https://arxiv.org/abs/1408.6982

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