On the compactness threshold in the critical Kirchhoff equation
Analysis of PDEs
2020-12-22 v3
Abstract
We study a class of critical Kirchhoff problems with a general nonlocal term. The main difficulty here is the absence of a closed-form formula for the compactness threshold. First we obtain a variational characterization of this threshold level. Then we prove a series of existence and multiplicity results based on this variational characterization.
Cite
@article{arxiv.2012.05317,
title = {On the compactness threshold in the critical Kirchhoff equation},
author = {Erisa Hasani and Kanishka Perera},
journal= {arXiv preprint arXiv:2012.05317},
year = {2020}
}