Extremal functions for the anisotropic Sobolev inequalities
A. El Hamidi, J. M. Rakotoson (2007)
Annales de l'I.H.P. Analyse non linéaire
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A. El Hamidi, J. M. Rakotoson (2007)
Annales de l'I.H.P. Analyse non linéaire
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Teresa D'Aprile, Angela Pistoia (2009)
Annales de l'I.H.P. Analyse non linéaire
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El Manouni, Said (2010)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Husain, T. (2005)
Acta Mathematica Universitatis Comenianae. New Series
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Hong, Yong (2006)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Cappiello, M. (2003)
Rendiconti del Seminario Matematico
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Viktor Harangi (2011)
Open Mathematics
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We say that a set in a Euclidean space does not contain an angle α if the angle determined by any three points of the set is not equal to α. The goal of this paper is to construct compact sets of large Hausdorff dimension that do not contain a given angle α ∈ (0,π). We will construct such sets in ℝn of Hausdorff dimension c(α)n with a positive c(α) depending only on α provided that α is different from π/3, π/2 and 2π/3. This improves on an earlier construction (due to several authors)...
Carbery, Anthony
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We discuss recent progress on issues surrounding the Brascamp–Lieb inequalities.