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New Sharp Gagliardo–Nirenberg–Sobolev Inequalities and an Improved Borell–Brascamp–Lieb Inequality

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Publication:3296127
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DOI10.1093/imrn/rny111zbMath1450.26006arXiv1702.03090OpenAlexW2594934496WikidataQ129897663 ScholiaQ129897663MaRDI QIDQ3296127

François Bolley, Ivan Gentil, Arnaud Guillin, Yasuhiro Fujita, Dario Cordero-Erausquin

Publication date: 7 July 2020

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.03090

zbMATH Keywords

Sobolev inequalityBrunn-Minkowski inequalityBorell-Brascamp-Lieb inequality


Mathematics Subject Classification ID

Convexity of real functions of several variables, generalizations (26B25) Inequalities involving derivatives and differential and integral operators (26D10)


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On quantum dissipative systems: ground states and orbital stability, Sharp trace Gagliardo-Nirenberg-Sobolev inequalities for convex cones, and convex domains, Sharp Gagliardo-Nirenberg trace inequalities via mass transportation method and their affine versions, A mass transportation proof of the sharp one-dimensional Gagliardo-Nirenberg inequalities



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