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• W2145004993 abstract "Recently, several inequalities of Brunn–Minkowski type have been proved for well-known functionals in the Calculus of Variations, e.g. the first eigenvalue of the Laplacian, the Newton capacity, the torsional rigidity and generalizations of these examples. In this paper, we add new contributions to this topic: in particular, we establish equality conditions in the case of the first eigenvalue of the Laplacian and of the torsional rigidity, and we prove a Brunn–Minkowski inequality for another class of variational functionals. Moreover, we describe the links between Brunn–Minkowski type inequalities and the resolution of Minkowski type problems." @default.
• W2145004993 created "2016-06-24" @default.
• W2145004993 creator A5087558985 @default.
• W2145004993 date "2005-06-01" @default.
• W2145004993 modified "2023-09-24" @default.
• W2145004993 title "Brunn–Minkowski inequalities for variational functionals and related problems" @default.
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• W2145004993 doi "https://doi.org/10.1016/j.aim.2004.06.002" @default.
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