The functional Orlicz–Brunn–Minkowski inequality for q‐torsional rigidity

DOI10.1112/mtk.12213zbMath1525.35150OpenAlexW4382023322MaRDI QIDQ6057071

Jinrong Hu, Ping Zhang

Publication date: 25 October 2023

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/mtk.12213

zbMATH Keywords

\(q\)-LaplacianOrlicz-Brunn-Minkowski inequality

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Cites Work

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• Brunn-Minkowski inequalities for variational functionals and related problems
• The Brunn-Minkowski-Firey theory. I: Mixed volumes and the Minkowski problem
• The Orlicz-Minkowski problem for torsional rigidity
• Capacitary inequalities of the Brunn-Minkowski type
• The Hadamard variational formula and the Minkowski problem for \(p\)-capacity
• Brunn-Minkowski inequality for variational functional involving the \(p\)-Laplacian operator
• Orlicz centroid bodies
• Orlicz projection bodies
• Greenian potentials and concavity
• Prescribing harmonic measure on convex domains
• The Brunn-Minkowski inequality for \(p\)-capacity of convex bodies
• Hadamard variational formulas for \(p\)-torsion and \(p\)-eigenvalue with applications
• A direct uniqueness proof for equations involving the \(p\)-Laplace operator
• On the case of equality in the Brunn-Minkowski inequality for capacity
• The uniqueness of the \(L_p\) Minkowski problem for \(q\)-torsional rigidity
• The functional Orlicz Brunn-Minkowski inequality for \(q\)-capacity
• The \(L_p\) Minkowski problem for the electrostatic \(\mathfrak{p}\)-capacity
• The dual Orlicz-Brunn-Minkowski theory
• The Orlicz Brunn-Minkowski inequality
• The Orlicz-Brunn-Minkowski theory: a general framework, additions, and inequalities
• The Minkowski problem for the torsional rigidity
• Brunn-Minkowski inequalities for two functionals involving thep-Laplace operator
• Convex Bodies The Brunn-MinkowskiTheory
• $p$-Means of Convex Bodies.

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