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arXiv · 2307.12738

From the Brunn-Minkowski inequality to a class of generalized Poincar\'{e}-type inequalities for torsional rigidity

Niufa Fang·Jinrong Hu·Leina Zhao
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Abstract

In this paper, we establish a class of generalized Poincar\'{e}-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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Niufa Fang, Jinrong Hu, Leina Zhao. 2023-07-24. From the Brunn-Minkowski inequality to a class of generalized Poincar\'{e}-type inequalities for torsional rigidity. https://arxiv.org/abs/2307.12738

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