Optimality conditions for the buckling of a clamped plate

Published 29 Aug 2014 in math.OC | (1408.6982v1)

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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