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Zhitao Zhang--Existence of solutions for Schrodinger systems with linear and nonlinear couplings
发布人:管理员LIU  发布时间:2017-07-16   浏览次数:505


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.


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