Positive Solutions for Fractional Kirchhoff Type Problem with Steep Potential Well

In this paper, we study the following nonlinear fractional Kirchhoff type problem $$\begin{aligned} \left\{ \begin{array}{ll} \left( a+b\int _{\mathbb {R}^{3}}|(-\Delta )^{\frac{s}{2}}u|^{2}\mathrm{d}x\right) (-\Delta )^{s}u+\lambda V(x)u=|u|^{p-2}u, &{} {\mathrm{in }}\mathbb {R}^3, \\ u\in H^{s}(\mathbb {R}^3), \end{array} \right. \end{aligned}$$ where $$s\in (\frac{3}{4}, 1)$$ , $$a, b, \lambda $$ are positive parameters, $$2

Keywords:

• kirchhoff type
• Combinatorics
• Truncation
• continuous function
• Omega
• Mathematics
• Lambda

• Correction
• Source
• Cite
• Save
• Machine Reading By IdeaReader