| 一类不确定薛定谔基尔霍夫方程解的存在性和集中性 |
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| 引用本文： | 陈玉松,常荷洁. 一类不确定薛定谔基尔霍夫方程解的存在性和集中性[J]. 数学季刊, 2020, 0(1): 37-45 |
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| 作者姓名： | 陈玉松 常荷洁 |
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| 作者单位： | Ministry of Basic Education;Ministry of Basic Education |
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| 基金项目： | Supported by the Youth Foundation of Shangqiu Institute of Technology(2018XKQ01)。 |
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| 摘 要： | This paper is concerned with the nonlinear Schrodinger-Kirchhoff system-(a+b∫R^3/u/^2dx)△u+λV(x)u=f(x,u)in R^3,where constants a>0,6≥0 andλ>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)asλ→+∞as A—>H-oo 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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| 关 键 词： | Schrodinger-Kirchhoff system SUBLINEAR VARIATIONAL methods CONCENTRATION |
Existence and Concentration of Solutions for An Indefinite Schrodinger-Kirchhoff System |
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| CHEN Yu-song,CHANG He-jie. Existence and Concentration of Solutions for An Indefinite Schrodinger-Kirchhoff System[J]. Chinese Quarterly Journal of Mathematics, 2020, 0(1): 37-45 |
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| Authors: | CHEN Yu-song CHANG He-jie |
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| Affiliation: | (Ministry of Basic Education,Shangqiu Institute of Technology,Henan Shangqiu 476300,China;Ministry of Basic Education,Luohe Vocational Technology College,Henan Luohe 462000,China) |
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