Critical fractional Schrödinger-Poisson systems with lower perturbations: the existence and concentration behavior of ground state solutions
In this article, we study the following fractional Schrödinger-Poisson system: ε2s(−Δ)su+V(x)u+ϕu=f(u)+∣u∣2s*−2u,inR3,ε2t(−Δ)tϕ=u2,inR3,\left\{\begin{array}{ll}{\varepsilon }^{2s}{\left(-\Delta )}^{s}u+V\left(x)u+\phi u=f\left(u)+{| u| }^{{2}_{s}^{* }-2}u,\hspace{1.0em}& \hspace{0.1em}\text{in}\...
Main Authors: | Feng Shenghao, Chen Jianhua, Huang Xianjiu |
---|---|
Format: | Article |
Language: | English |
Published: |
De Gruyter
2024-04-01
|
Series: | Advances in Nonlinear Analysis |
Subjects: | |
Online Access: | https://doi.org/10.1515/anona-2024-0006 |
Similar Items
-
Existence, multiplicity and non-existence of solutions for modified Schrödinger-Poisson systems
by: Xian Zhang, et al.
Published: (2023-01-01) -
Ground state solution for some new Kirchhoff-type equations with Hartree-type nonlinearities and critical or supercritical growth
by: Zhou Li, et al.
Published: (2022-08-01) -
Existence and Uniqueness of Multi-Bump Solutions for Nonlinear Schrödinger–Poisson Systems
by: Yu Mingzhu, et al.
Published: (2021-08-01) -
Multiple positive solutions for a class of concave-convex Schrödinger-Poisson-Slater equations with critical exponent
by: Zheng Tian-Tian, et al.
Published: (2024-03-01) -
Existence of Ground States of Fractional Schrödinger Equations
by: Ma Li, et al.
Published: (2021-08-01)