摘要
In this paper,we consider the following fractional Schrodinger-Poisson problem:{ε^2s(-Δ)^su+V(x)u+φu=|u|^p-1u,x∈R^N,(-Δ)^tφ=u^2,x∈R^N,where ε>0 is a small parameter,N≥3 and V(x)is a potential function.We construct non-radial sign-changing solutions,whose components may have spikes clustering at the local minimum point of V(x).
基金
supported by National Natural Science Foundation of China(Grant Nos.11501264 and 11871253)
the Natural Science Foundation of Jiangxi Province(Grant No.20171BCB23030)
Jiangxi Provincial Department of Education Fund
supported by National Natural Science Foundation of China(Grant Nos.11671179 and 11771300)。
