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• W2996355897 abstract "In this paper a Blaschke-Santaló diagram involving the area, the perimeter and the elastic energy of planar convex bodies is considered. More precisely we give a description of set where A is the area, P is the perimeter and E is the elastic energy, that is a Willmore type energy in the plane. In order to do this, we investigate the following shape optimization problem: where is the class of convex bodies with fixed perimeter and is a parameter. Existence, regularity and geometric properties of solutions to this minimum problem are shown." @default.
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• W2996355897 date "2015-10-15" @default.
• W2996355897 modified "2023-10-08" @default.
• W2996355897 title "Elastic energy of a convex body" @default.
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• W2996355897 doi "https://doi.org/10.1002/mana.201400256" @default.
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