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arXiv · 1510.02151

Some remarks on the comparison principle in Kirchhoff equations

Giovany M. Figueiredo·Antonio Suarez
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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.

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Giovany M. Figueiredo, Antonio Suarez. 2015-10-07. Some remarks on the comparison principle in Kirchhoff equations. https://arxiv.org/abs/1510.02151

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