Existence and concentration of solutions for a fractional Schrödinger–Poisson system with discontinuous nonlinearity
Year: 2024
Type: article
Abstract: In this paper, we study the following fractional Schrödinger–Poisson system with discontinuous nonlinearity: ε 2 s ( − Δ ) s u + V ( x ) u + ϕ u = H ( u − β ) f ( u ) , in R 3 , ε 2 s ( − Δ ) s ϕ = u 2 , in R 3 , u > 0 , in R 3 , $$\begin{cases}^{2s}{\left(-{\Delta}\right)}^{s}u+V\left(x\right)u+\phi u=H\left(u-\beta \right)f\left(u\right),\quad \hfill & \text{in} {\mathbb{R}}^{3},\hfill \\ {\varepsilon }^{2s}{\left(-{\Delta}\right)}^{s}\phi ={u}^{2},\quad \hfill & \text{in} {\mathbb{R}}^{3},\hfill \\ u{ >}0,\quad \hfill & \text{in} {\mathbb
Source: Advanced Nonlinear Studies
Authors: Changyang Mu, Zhipeng Yang, Wei Zhang
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $1,299
OpenAlex ID: W4402680042