Some remarks on the comparison principle in Kirchhoff equations

• Giovany M. Figueiredo ^[1] ; Antonio Suárez ^[2]
  1. [1] Universidade de Brasília

     Universidade de Brasília

     Brasil

     
  2. [2] Universidad de Sevilla

     Universidad de Sevilla

     Sevilla, España

     
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 34, Nº 2, 2018, págs. 609-620
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • In this paper we study the validity of the comparison principle and the sub-supersolution method for Kirchhoff type equations. We show that these principles do not work when the Kirchhoff function is increasing, contradicting some previous results. We give an alternative sub-supersolution method and apply it to some models.