论文标题

关于关键Kirchhoff方程的紧凑型阈值

On the compactness threshold in the critical Kirchhoff equation

论文作者

Hasani, Erisa, Perera, Kanishka

论文摘要

我们研究了一类关键的Kirchhoff问题,具有一般的非本地术语。这里的主要困难是没有用于紧凑型阈值的闭合形式公式。首先,我们获得了该阈值水平的各种表征。然后,我们基于此变异表征证明了一系列的存在和多样性结果。

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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