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