Some remarks on the comparison principle in Kirchhoff equations
Analysis of PDEs
2015-10-09 v1
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
@article{arxiv.1510.02151,
title = {Some remarks on the comparison principle in Kirchhoff equations},
author = {Giovany M. Figueiredo and Antonio Suarez},
journal= {arXiv preprint arXiv:1510.02151},
year = {2015}
}