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Revista Matemática Iberoamericana

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Volume 34, Issue 2, 2018, pp. 609–620
DOI: 10.4171/RMI/997

Published online: 2018-05-28

Some remarks on the comparison principle in Kirchhoff equations

Giovany M. Figueiredo[1] and Antonio Suárez[2]

(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