From the Brunn-Minkowski inequality to a class of generalized Poincaré-type inequalities for torsional rigidity

Abstract

In this paper, we establish a class of generalized Poincaré-type inequalities for torsional rigidity on the boundary of a convex body of class $C_{+}^2$ in $\rnnn$ by using the concavity of related Brunn-Minkowski inequality.

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