Speaker: Professor Zhitao Zhang
Institution: Academy of Mathematics and Systems Science, CAS
Time: 2017.07.16. 10:30--11:30
Location: Room 503, Gewu Building
Title: Existence of solutions for Schrodinger systems with linear and nonlinear couplings
Abstract: We are concerned with the important system of nonlinear Schrodinger equations with linear and nonlinear couplings which arises from Bose-Einstein condensates, we prove phase segregation results of the limit competition case, we use variational methods to prove the existence of ground state and bound state solutions of the systems, and use bifurcation theory to get structure of positive solutions. We give some partial symmetry results of positive solutions by Morse index and obtain existence and uniqueness of positive solution via synchronized solution techniques etc.
