In this paper, we are concerned with the Kirchhoff-type variable-order fractional Laplacian problem with critical variable exponent. By using constraint variational method and quantitative deformation lemma we show the existence of one least energy solution, which is strictly larger than twice of that of any ground state solution.

中文翻译：

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涉及变阶分数拉普拉斯算子和临界指数的 Kirchhoff 类型问题的符号变化解

在本文中，我们关注具有临界变量指数的基尔霍夫型变阶分数拉普拉斯问题。通过使用约束变分法和定量变形引理，我们证明了存在一个最小能量解，它严格大于任何基态解的两倍。