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arXiv · 1810.07537

Energy properties of critical Kirchhoff problems with applications

Francesca Faraci·Csaba Farkas·Alexandru Kristály
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Abstract

In this paper we fully characterize the sequentially weakly lower semicontinuity of the parameter-depending energy functional associated with the critical Kirchhoff problem. We also establish sufficient criteria with respect to the parameters for the convexity and validity of the Palais-Smale condition of the same energy functional. We then apply these regularity properties in the study of some elliptic problems involving the critical Kirchhoff term.

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Francesca Faraci, Csaba Farkas, Alexandru Kristály. 2018-10-17. Energy properties of critical Kirchhoff problems with applications. https://arxiv.org/abs/1810.07537

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