| 摘 要： | This paper is concerned with the nonlinear Schrodinger-Kirchhoff system -(a+b∫_(R~3)|▽u|~2 dx)△u+λV(x)u=f(x,u) in R~3,where constants a 0,b≥ 0 and λ 0 is a parameter.We require that V(x) ∈C(R~3)and has a potential well V~(-1)(0).Combining this with other suitable assumptions on K and f,the existence of nontrivial solutions is obtained via variational methods.Furthermore,the concentration behavior of the nontrivial solution is also explored on the set V~(-1)(0) as λ→+∞ as well.It is worth noting that the(PS)-condition can not be directly got as done in the literature,which makes the problem more complicated.To overcome this difficulty,we adopt different method.
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