Existence And Multiplicity Of Solutions Of Schr(?)dinger Equation In Unbounded Domain

Nonlinear ellipse related problems have attracted much attention because of their wide applications in optics and other physical fields.In recent years,nonlinear Schr(?)dinger system has attracted a large number of scholars,and the relevant results of the system play an important role in the field of physics.The critical point theory and variational methods used to study this kind of system also lay a foundation for the research in the field of physics.This paper mainly studies the existence and multiplicity of solutions of Schr(?)dinger equation in unbounded domain.Using the variational methods and critical point theory,combined with the relevant results of symmetric critical principle in different cases of equation definition domain,the existence and multiplicity of solutions of Schr(?)dinger equation on a class of unbounded domain are proved.