General optimal L^p-Nash inequalities on Riemannian manifolds

• Jurandir Ceccon ^[1]
  1. [1] Universidade Federal do Paraná

     Universidade Federal do Paraná

     Brasil

     
• Localización: Annali della Scuola Normale Superiore di Pisa. Classe di scienze, ISSN 0391-173X, Vol. 15, Nº Extra 1 (Special volume), 2016, págs. 435-457
• Idioma: inglés
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• Resumen

  • Let (M, g) be a smooth compact Riemannian manifold of dimension 2 ≤ n, let 1 < p and 1 ≤q < p. In this paper, we establish the validity of the optimal Nash inequality and the existence of extremal functions for this optimal inequality