3 papers
math.AP2025
Ground state solutions for Schrödinger-Poisson system with a doping profile
Mathieu Colin, Tatsuya Watanabe
This paper is devoted to the study of the nonlinear Schrödinger-Poisson system with a doping profile. We are interested in the existence of ground state solutions by considering t…
math.AP2025
Stable standing waves for Nonlinear Schrödinger-Poisson system with a doping profile
Mathieu Colin, Tatsuya Watanabe
This paper is devoted to the study of the nonlinear Schrödinger-Poisson system with a doping profile. We are interested in the existence of stable standing waves by considering th…
math.AP2025
Strong instability of standing waves for -supercritical Schrödinger-Poisson system with a doping profile
Mathieu Colin, Tatsuya Watanabe
This paper is devoted to the study of the nonlinear Schrödinger-Poisson system with a doping profile. We are interested in the strong instability of standing waves associated with…