一类不确定薛定谔基尔霍夫方程解的存在性和集中性（英文）

发布时间：2024-05-25 01:19

　　This paper is concerned with the nonlinear Schrodinger-Kirchhoff system -(a+b∫_R³|▽u|² dx)△u+λV(x)u=f(x,u) in R³,where constants a> 0,b≥ 0 and λ> 0 is a parameter.We require that V(x) ∈C(R³)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 e...

【文章页数】：9 页

【文章目录】：
§1.Introduction and Main Results
§2.Preliminaries,Variational Setting andProof of Theorem 1.1
§3.Concentration of Solutions



本文编号：3981492