Some remarks on the comparison principle in Kirchhoff equations

  • Giovany M. Figueiredo

    Universidade de Brasília, Brazil
  • Antonio Suárez

    Universidad de Sevilla, Spain
Some remarks on the comparison principle in Kirchhoff equations cover
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Abstract

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.

Cite this article

Giovany M. Figueiredo, Antonio Suárez, Some remarks on the comparison principle in Kirchhoff equations. Rev. Mat. Iberoam. 34 (2018), no. 2, pp. 609–620

DOI 10.4171/RMI/997