Wei Long

Multiple solutions for planar Schrodinger-Poisson system with logarithmic nonlinearity

This paper is concerned with the following planar Schrodinger-Poisson system: $\begin{cases} -\Delta u +V(x)u+\lambda\phi u=u\ln u^2,&\text{in }{R}^2,\\ \Delta\phi=u^2,&\text{in }{R}^2. \end{cases}$ where $\lambda\in{R}$ is a parameter and $V\in C^1({R}^2,R}^{+})$ is a coercive potential. Due to the presence of the log...