How to recognize convexity of a set from its marginals

DOI10.1016/j.jfa.2013.05.040zbMath1294.26022arXiv1502.06511OpenAlexW2338993439WikidataQ112631989 ScholiaQ112631989MaRDI QIDQ2452465

Alessio Figalli, David S. Jerison

Publication date: 3 June 2014

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.06511

zbMATH Keywords

convexitylog-concavitymarginals

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Inequalities for sums, series and integrals (26D15)

Related Items (4)

On stable solutions for boundary reactions: a De Giorgi-type result in dimension \(4 + 1\) ⋮ Some energy estimates for stable solutions to fractional Allen-Cahn equations ⋮ Going to Lorentz when fractional Sobolev, Gagliardo and Nirenberg estimates fail ⋮ Asymptotic behavior of the W^1∕q,q-norm of mollified BV functions and applications to singular perturbation problems

Cites Work

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• Uniform estimates and limiting arguments for nonlocal minimal surfaces
• Gamma-convergence of nonlocal perimeter functionals
• The Mathematics of Computerized Tomography
• Sets of Finite Perimeter and Geometric Variational Problems
• Nonlocal minimal surfaces
• A Result on the Steiner Symmetrization of a Compact Set
• The Brunn-Minkowski inequality

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