On the isoperimetric inequality for the buckling of a clamped plate |
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Authors: | S. Ashbaugh Dorin Bucur |
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Affiliation: | (1) Department of Mathematics, University of Missouri, MO 65211 Columbia, USA;(2) Département de Mathématiques, Université de Metz, Ile du Saulcy, 57045 Metz Cedex, France |
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Abstract: | In two dimensions, we prove the existence of a domainminimizing the buckling load of a clamped plate among all domainsof given measure. In order to prove that the optimal set is thedisk, we discuss possible ways of applying an idea of Willms andWeinberger if the regularity of the optimal set is not a prioriassumed. |
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Keywords: | 49Q10 |
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