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math.AP2021★ 1 cited
A unified divergent approach to Hardy-Poincaré inequalities in classical and variable Sobolev spaces
Giovanni Di Fratta, Alberto Fiorenza
We present a unified strategy to derive Hardy-Poincaré inequalities on bounded and unbounded domains. The approach allows proving a general Hardy-Poincaré inequality from which the…
math.AP2019
Landau-de Gennes corrections to the Oseen-Frank theory of nematic liquid crystals
Giovanni Di Fratta, Jonathan Robbins, Valeriy Slastikov +1
We study the asymptotic behavior of the minimisers of the Landau-de Gennes model for nematic liquid crystals in a two-dimensional domain in the regime of small elastic constant. At…