Geometric elliptic functionals and mean curvature

• Luis J. Alías ^[1] ; Jorge H. S. De Lira ^[2] ; Marco Rigoli ^[3]
  1. [1] Universidad de Murcia

     Universidad de Murcia

     Murcia, España

     
  2. [2] Universidade Federal do Ceará

     Universidade Federal do Ceará

     Brasil

     
  3. [3] University of Milan

     University of Milan

     Milán, Italia

     

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• Localización: Annali della Scuola Normale Superiore di Pisa. Classe di scienze, ISSN 0391-173X, Vol. 15, Nº Extra 1 (Special volume), 2016, págs. 609-655
• Idioma: inglés
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• Resumen

  • We introduce an extended notion of mean curvature for graphs via the Euler-Lagrange equation of a geometric elliptic functional. We then draw some geometric conclusions for Killing graphs with prescribed weighted and anisotropic mean curvatures with the aid of a general form of the weak maximum principle and a sufficient condition for an appropriate notion of parabolicity.