Moser-Trudinger trace inequalities

• Autores: Andrea Cianchi
• Localización: Advances in mathematics, ISSN 0001-8708, Vol. 217, Nº 5, 2008, págs. 2005-2044
• Idioma: inglés
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• Resumen

  • Sharp constants in exponential inequalities involving a general class of measures in domains are exhibited in the limiting case of the Sobolev embedding theorem. A comprehensive approach is presented yielding, as special instances, trace inequalities on ?O, on smooth submanifolds of O of arbitrary dimension, and also on fractal subsets of O, and recovering, in particular, the classical Moser�Trudinger inequality