On a paper of Berestycki–Hamel–Rossi and its relations to the weak maximum principle at infinity, with applications

• Marco Magliaro ^[1] ; Luciano Mari ^[2] ; Marco Rigoli ^[3]
  1. [1] Universidade Federal do Ceará

     Universidade Federal do Ceará

     Brasil

     
  2. [2] Scuola Normale Superiore
  3. [3] Università degli Studi de Milano

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• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 34, Nº 2, 2018, págs. 915-936
• Idioma: inglés
• DOI: 10.4171/RMI/1009
• Texto completo no disponible (Saber más ...)
• Resumen

  • The aim of this paper is to study a new equivalent form of the weak maximum principle for a large class of differential operators on Riemannian manifolds. This new form has been inspired by the work of Berestycki, Hamel and Rossi for trace operators, and allows us to shed new light on it and to introduce a new sufficient bounded Khas’minskii type condition for its validity. We show its effectiveness by applying it to obtain some uniqueness results in a geometric setting.