Special Session 106: 

Existence of solutions for Schr\\{o}dinger poisson systems with saturable nonlinearity

Fubao Zhang
Southeast University
Peoples Rep of China
Co-Author(s):    Haihua Jiang
Abstract:
In this talk, we are mainly concerned with the schr\{o}dinger poisson system with saturable nonlinearity, and prove the existence of bound state and ground state ,and nonexistence of nontrivial solution . Furthermore, we consider the existence and nonexistence of standing waves with prescribed $L^2-$norm for a class of schr\{o}dinger-poisson slater equations.