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arXiv · 2012.05317

On the compactness threshold in the critical Kirchhoff equation

Erisa Hasani·Kanishka Perera
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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.

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Erisa Hasani, Kanishka Perera. 2020-12-09. On the compactness threshold in the critical Kirchhoff equation. https://arxiv.org/abs/2012.05317

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