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- W2078317863 abstract "We prove a Hardy–Sobolev–Mazʼya inequality for arbitrary domains Ω ⊂ R N with a constant depending only on the dimension N ⩾ 3 . In particular, for convex domains this settles a conjecture by Filippas, Mazʼya and Tertikas. As an application we derive Hardy–Lieb–Thirring inequalities for eigenvalues of Schrödinger operators on domains. On établit une inégalité de Hardy–Sobolev–Mazʼya pour des domaines Ω quelconques dans R N , avec une constante ne dépendant que de la dimension N ⩾ 3 . Pour des domaines convexes, ceci répond à une conjecture de Filippas, Mazʼya et Tertikas. On déduit ensuite de ce résultat des inégalités de type Hardy–Lieb–Thirring pour les valeurs propres dʼopérateurs de Schrödinger sur un domaine." @default.
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- W2078317863 date "2012-01-01" @default.
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- W2078317863 title "Hardy–Sobolev–Mazʼya inequalities for arbitrary domains" @default.
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- W2078317863 doi "https://doi.org/10.1016/j.matpur.2011.04.004" @default.
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