Multiple solutions for a class of Schrödinger–Bopp–Podolsky system with sublinear nonlinearity
Abstract
In this paper, we investigate the existence and concentration of solutions for the following Schrödinger–Bopp–Podolsky system with sublinear nonlinearity: { − Δ u + λ V ( x ) u + G ( x ) ϕ u = f ( x , u ) in R 3 , − Δ ϕ + a 2 Δ 2 ϕ = 4 π G ( x ) u 2 in R 3 , where V ∈ C ( R 3 ) is a potential well, G ∈ L 2 ( R 3 ) is nonnegative and f ∈ C ( R 3 × R ) satisfies the sublinear conditions in R 3 . By imposing some suitable assumptions on V ( x ) , G ( x ) and
Fields of Study & Subjects
Nonlinear Partial Differential Equations
Nonlinear Waves and Solitons
Nonlinear Differential Equations Analysis
Publication details
- Journal / source
- Electronic journal of qualitative theory of differential equations
- Publisher
- University of Szeged
- Issue
- 4
- Pages
- 1–20
- Publication date
- 1 January 2026
- Language
- ENG