Resumen de Some remarks on the comparison principle in Kirchhoff equations

Giovany M. Figueiredo, Antonio Suárez Fernández

• 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.