Geometric and functional inequalities

DOI10.1007/978-3-031-37883-6_3MaRDI QIDQ6612728

A. Colesanti, Daniel Hug

Publication date: 1 October 2024

zbMATH Keywords

torsionBrunn-Minkowski inequalityAleksandrov-Fenchel inequalityreverse isoperimetric inequalityfirst Dirichlet eigenvalueBrascamp-Lieb inequalityelectrostatic capacity\(L_p\)-Brunn-Minkowski theoryBarthe inequality

Mathematics Subject Classification ID

Variational inequalities (49J40) Inequalities and extremum problems involving convexity in convex geometry (52A40)

Cites Work

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• Dar's conjecture and the log-Brunn-Minkowski inequality
• The log-Brunn-Minkowski inequality
• 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
• Gaussian kernels have only Gaussian maximizers
• Subadditivity of the entropy and its relation to Brascamp-Lieb type inequalities
• Greenian potentials and concavity
• On a reverse form of the Brascamp-Lieb inequality
• Ellipsoids of maximal volume in convex bodies
• The approximation of convex sets by polyhedra
• On extensions of the Brunn-Minkowski and Prekopa-Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation
• Best constants in Young's inequality, its converse, and its generalization to more than three functions
• Capacitary functions in convex rings
• A Minkowski problem for electrostatic capacity
• The Brunn-Minkowski inequality for \(p\)-capacity of convex bodies
• A general rearrangement inequality for multiple integrals
• On the case of equality in the Brunn-Minkowski inequality for capacity
• Euclidean forward-reverse Brascamp-Lieb inequalities: finiteness, structure, and extremals
• The extremals of Minkowski's quadratic inequality
• Continuous version of the approximate geometric Brascamp-Lieb inequalities
• Floating bodies and approximation of convex bodies by polytopes
• Best and random approximation of a convex body by a polytope
• The uniqueness of the \(L_p\) Minkowski problem for \(q\)-torsional rigidity
• The \(L_p\) Minkowski problem for the electrostatic \(\mathfrak{p}\)-capacity
• On the nonlinear Brascamp-Lieb inequality
• One more proof of the Alexandrov-Fenchel inequality
• Brascamp-Lieb inequalities on compact homogeneous spaces
• The Brascamp-Lieb inequalities: Finiteness, structure and extremals
• An arithmetic proof of John's ellipsoid theorem
• John's decomposition in the general case and applications
• Volume inequalities for subspaces of \(L_p\)
• Remarks on the conjectured log-Brunn-Minkowski inequality
• The direct method in the calculus of variations for convex bodies
• Über einige Affinvarianten konvexer Bereiche
• An isoperimetric minimax
• Dropping a vertex or a facet from a convex polytope
• Convex geometry and functional analysis
• A note on a Brunn-Minkowski inequality for the Gaussian measure
• Correlation and Brascamp-Lieb Inequalities for Markov Semigroups
• The Minkowski problem for the torsional rigidity
• Surface Area of a Convex Body Under Affine Transformations
• Volume Ratios and a Reverse Isoperimetric Inequality
• Isotropic surface area measures
• The Brunn-Minkowski inequality
• Strengthened volume inequalities for $L_p$ zonoids of even isotropic measures
• Strengthened inequalities for the mean width and the ℓ‐norm
• Lectures on Convex Geometry
• Foundations of Modern Probability
• Brunn-Minkowski inequalities for two functionals involving thep-Laplace operator
• Convex and Discrete Geometry
• Isotropic measures and stronger forms of the reverse isoperimetric inequality
• Convex Bodies The Brunn-MinkowskiTheory
• $p$-Means of Convex Bodies.
• The extremals of the Alexandrov-Fenchel inequality for convex polytopes
• An intrinsic volume metric for the class of convex bodies in ℝn

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