Existence And Compactness Of Solutions For A Class Of Coupied Schr(?)dinger Systems

Great progress has been made in the study of nolinear Schr(?)dinger recently.Especially,many physical problems such as nonlinear optics and condensation can be solved by Schr(?)dinger systems.Therefore,it has received a great deal of attention.The existence,the multiplicity,the compactness and other properties of its ground state solutions and bound state solutions are being studied by many mathematicians.Lots of research results have been achieved and many physical problems have been solved.In the dissertation,the existence and the compactness of solutions of a type of Schr(?)dinger systems are mainly studied.In order to prove them,energy function of the equations was constructed,the variational methods and the reduction to absurdity are combined and theory of elliptic regularity and maximum principle are applied.