Moser-Trudinger trace inequalities on a compact Riemannian surface with boundary

• Autores: Yunyan Yang
• Localización: Pacific journal of mathematics, ISSN 0030-8730, Vol. 227, Nº 1, 2006, págs. 177-200
• Idioma: inglés
• DOI: 10.2140/pjm.2006.227.177
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• Resumen

  • Let (M,g) be a compact smooth Riemannian surface with boundary. In this paper, we use blowing-up analysis to prove that some Moser¿Trudinger trace inequalities hold on certain function spaces, and that the extremal functions exist in those function spaces without any additional hypothesis on (M,g).