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Sharp Sobolev Asymptotics for Critical Anisotropic Equations

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Abstract

We investigate blow-up theory and prove sharp Sobolev asymptotics for a general class of anisotropic critical equations in bounded domains of \({\mathbb{R}^n}\) .

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Authors and Affiliations

  1. Université de La Rochelle, Laboratoire de Mathématiques et Applications, Avenue Michel Crépeau, 17042, La Rochelle Cedex, France

    Abdallah El Hamidi

  2. Département de Mathématiques, Université de Cergy-Pontoise, CNRS UMR 8088, Site de Saint-Martin, 2 Avenue Adolphe Chauvin, 95302, Cergy-Pontoise Cedex, France

    Jérôme Vétois

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  1. Abdallah El Hamidi
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Correspondence to Jérôme Vétois.

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Communicated by S. Müller

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Hamidi, A.E., Vétois, J. Sharp Sobolev Asymptotics for Critical Anisotropic Equations. Arch Rational Mech Anal 192, 1–36 (2009). https://doi.org/10.1007/s00205-008-0122-8

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