摘要
In this article,we study the generalized quasilinear Schrodinger equation-div(ε^2g^2(u)▽u)+ε^2g(u)g′(u)|▽u|^2+V(x)u=K(x)|u|^p-2u,x∈R^N where A≥3,e>0,4<p<,22*,g∈C 1(R,R+),V∈C(R^N)∩L∞(R^N)has a positive global minimum,and K∈C(R^N)∩L∞(R^N)has a positive global maximum.By using a change of variable,we obtain the existence and concentration behavior of ground state solutions for this problem and establish a phenomenon of exponential decay.
作者
Jianhua CHEN
Xianjiu HUANG
Bitao CHENG
Xianhua TANG
陈建华;黄先玖;程毕陶;唐先华(Department of Mathematics,Nanchang University,Nanchang 330031,China;School of Mathematics and Statistics,Qujing Normal University,Qujing 655011,China;School of Mathematics and Statistics,Central South University,Changsha 410083,China)
基金
supported by the National Natural Science Foundation of China(11661053,11771198,11901345,11901276,11961045 and 11971485)
partly by the Provincial Natural Science Foundation of Jiangxi,China(20161BAB201009 and 20181BAB201003)
the Outstanding Youth Scientist Foundation Plan of Jiangxi(20171BCB23004)
the Yunnan Local Colleges Applied Basic Research Projects(2017FH001-011).
