The Existence Of Solutions Of A Class Of Schr(?)dinger Systems With Gradient Nonlinear Terms

In recent years,nonlinear problems have appeared in various fields,such as nonlinear mechanics,nonlinear optics,nonlinear dynamics.Many scholar have be-gun to pay more and more attention to these problems.There are many methods to solve this kind of problem,such as topological degree method,variational method,fixed point theory,etc.This paper mainly studies a class of Schrodinger systems with gradient non-linear terms.This paper mainly proves the existence of solutions of a class of Schrodinger systems with gradient nonlinear terms by means of variational method,which is converting the existence of the solutions of the equation into the extreme point problem of the corresponding energy function,combining mountain pass lem-ma and Nehari-Pohozaev manifold.