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

DOI10.1007/s12220-024-01557-1arXiv2307.12738OpenAlexW4392186664MaRDI QIDQ6196202

LeiNa Zhao, Jinrong Hu, Niufa Fang

Publication date: 14 March 2024

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2307.12738

zbMATH Keywords

Poincaré inequalityconvex bodytorsional rigidityBrunn-Minkowski inequality

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Inequalities involving derivatives and differential and integral operators (26D10)

Cites Work

• Brunn-Minkowski inequalities for variational functionals and related problems
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• Greenian potentials and concavity
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• Hadamard variational formulas for \(p\)-torsion and \(p\)-eigenvalue with applications
• The Minkowski problem for the torsional rigidity
• FROM THE BRUNN–MINKOWSKI INEQUALITY TO A CLASS OF POINCARÉ-TYPE INEQUALITIES
• On the regularity of the solution of then-dimensional Minkowski problem
• The Brunn-Minkowski inequality
• Poincaré and Brunn-Minkowski inequalities on the boundary of weighted Riemannian manifolds
• Convex Bodies The Brunn-MinkowskiTheory
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