In this paper, we deal with a class of Schrödinger–Kirchhoff problems in ${\mathbb{R}}^N$, driven by the fractional magnetic operator, involving critical Sobolev–Hardy nonlinearities and a nontrivial perturbation term. By variational approach, we obtain the existence of solutions which tend to zero under a suitable value of λ. The main feature and difficulty of our equations is the presence of the magnetic field and critical term as well as the possible degenerate nature of the Kirchhoff function M.

中文翻译：

---

涉及磁性分数算子的关键 Sobolev-Hardy 问题的完整解的存在性

在本文中，我们处理一类薛定谔-基尔霍夫问题 ${\mathbb{电阻}}^N$，由分数磁算子驱动，涉及临界 Sobolev-Hardy 非线性和非平凡微扰项。通过变分方法，我们获得了在合适的λ值下趋于零的解的存在性。我们方程的主要特征和难点是磁场和临界项的存在以及基尔霍夫函数M的可能退化性质。