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) |
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作者姓名: | 陈玉松 常荷洁 |
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作者单位: | 1. Ministry of Basic Education,Shangqiu Institute of Technology;2. Ministry of Basic Education,Luohe Vocational Technology College |
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摘 要: | 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...
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