Normalized solutions to the fractional Kirchhoff equations with a perturbation

作者：Lintao Liu, Haibo Chen, Jie Yang · 发表于：Applicable Analysis · 年份：2021 · DOI：10.1080/00036811.2021.1979222 · 被引用次数：15 · 研究领域：Nonlinear Partial Differential Equations、Nonlinear Differential Equations Analysis、Fractional Differential Equations Solutions

In this paper, we study the following fractional Kirchhoff equation (a+b∫R3|(−Δ)s2u|2dx)(−Δ)su=λu+μ|u|q−2u+|u|p−2uinR3,with a prescribed mass ∫R3|u|2dx=c2,where s∈(34,1), a, b, c>0, 2<q<p<2s∗=63−2s, μ>0 and λ∈R as a Lagrange multiplier. By decomposing Pohozaev set and constructing fiber map, the existence and properties of normalized ground states are established.