The quasilinear Schrödinger–Poisson system
Copyright policy )The quasilinear Schrödinger–Poisson system
This paper deals with the (p, q)-Schrödinger–Poisson system, which is new and has never been considered in the literature. The uniqueness of solutions of the quasilinear Poisson equation is obtained via the Minty–Browder theorem. The variational framework of the quasilinear system is built, and nontrivial solutions of the system are obtained via the mountain pass theorem.
- Sichuan University China (People's Republic of)
- Department of Mathematics
- Sichuan University
- Sichuan University
- Capital Normal University China (People's Republic of)
Variational methods for second-order elliptic equations, Variational methods applied to PDEs, Mathematics - Analysis of PDEs, NLS equations (nonlinear Schrödinger equations), FOS: Mathematics, Nonlinear elliptic equations, Analysis of PDEs (math.AP)
Variational methods for second-order elliptic equations, Variational methods applied to PDEs, Mathematics - Analysis of PDEs, NLS equations (nonlinear Schrödinger equations), FOS: Mathematics, Nonlinear elliptic equations, Analysis of PDEs (math.AP)
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