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20182026
most citedStability in Gagliardo-Nirenberg-Sobolev inequalities: flows, regularity and the entropy method

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math.AP2026

From weighted Carlson-Levin inequalities to weighted Gagliardo-Nirenberg inequalities

Francesco Pagliarin, Nikita Simonov

We study weighted Carlson-Levin inequalities on cones, computing the optimal constant and classifying optimizers via an Entropy method. The limiting case of a logarithmic Carlson-L…