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1 EDP - Equations aux dérivées partielles IECL - Institut Élie Cartan de Lorraine 2 Université Laval

Abstract : In this paper we investigate upper and lower bounds of two shape functionals involving the maximum of the torsion function. More precisely, we consider T Ω-M Ω|Ω| and M Ωλ 1 Ω, where Ω is a bounded open set of R d with finite Lebesgue measure |Ω|, M Ω denotes the maximum of the torsion function, T Ω the torsion, and λ 1 Ω the first Dirichlet eigenvalue. Particular attention is devoted to the subclass of convex sets.

Keywords : shape optimization first Dirichlet eigenvalue torsional rigidity





Author: A Henrot - Ilaria Lucardesi - G Philippin -

Source: https://hal.archives-ouvertes.fr/



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