On the isoperimetric inequality for the buckling of a clamped plate |
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| Authors: | S Ashbaugh Dorin Bucur |
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| Institution: | (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 domain
minimizing the buckling load of a clamped plate among all domains
of given measure. In order to prove that the optimal set is the
disk, we discuss possible ways of applying an idea of Willms and
Weinberger if the regularity of the optimal set is not a priori
assumed. |
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| Keywords: | 49Q10 |
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