Revista Matemática Iberoamericana
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Published online: 2018-05-28
Some remarks on the comparison principle in Kirchhoff equationsGiovany M. Figueiredo and Antonio Suárez (1) Universidade de Brasília, Brazil
(2) Universidad de Sevilla, Spain
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.
Keywords: Kirchhoff equation, comparison principle, sub-supersolution method
Figueiredo Giovany, Suárez Antonio: Some remarks on the comparison principle in Kirchhoff equations. Rev. Mat. Iberoam. 34 (2018), 609-620. doi: 10.4171/RMI/997