An extremal function for Sobolev trace inequality

• Autores: Young Ja Park
• Localización: Houston journal of mathematics, ISSN 0362-1588, Vol. 35, Nº 1, 2009, págs. 247-251
• Idioma: inglés
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• Resumen

  • We explain how an extremal function for the Sobolev trace inequality might be conjectured. We prove that this function is indeed an actual minimizer when we consider the space of functions which share values on the boundary with the conjectured function.