In this work, we are concerned with a class of fractional equations of Kirchhoff type with potential. Using variational methods and a variant of quantitative deformation lemma, we prove the existence of a least energy sign-changing solution. Moreover, the existence of infinitely many solution is established.

中文翻译：

---

关于一类涉及各向异性算子和势的基尔霍夫方程

在这项工作中，我们关注一类具有潜力的Kirchhoff型分数方程。使用变分方法和定量变形引理的变体，我们证明了最小能量符号转换解的存在。而且，建立了无限多个解的存在。