典型文献
Ground States of K-component Coupled Nonlinear Schr?dinger Equations with Inverse-square Potential
文献摘要：
In this paper,the authors study ground states for a class of K-component coupled nonlinear Schr?dinger equations with a sign-changing potential which is periodic or asymptotically periodic.The resulting problem engages three major difficulties:One is that the associated functional is strongly indefinite,the second is that,due to the asymp-totically periodic assumption,the associated functional loses the ZN-translation invariance,many effective methods for periodic problems cannot be applied to asymptotically periodic ones.The third difficulty is singular potential ui/|x|2,which does not belong to the Kato's class.These enable them to develop a direct approach and new tricks to overcome the difficulties caused by singularity and the dropping of periodicity of potential.
文献关键词：
中图分类号：
作者姓名：
Peng CHEN;Huimao CHEN;Xianhua TANG
作者机构：
Three Gorges Mathematical Research Center,China Three Gorges University,Yichang,Hubei 443002,China;College of Science,China Three Gorges University,Yichang,Hubei 443002,China;School of Mathematics and Statistics,Central South University,Changsha,Hunan 410083,China
文献出处：
引用格式：
[1]Peng CHEN;Huimao CHEN;Xianhua TANG-.Ground States of K-component Coupled Nonlinear Schr?dinger Equations with Inverse-square Potential)[J].数学年刊B辑（英文版）,2022(03):319-342
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totically
B类：
Ground,States,component,Coupled,Nonlinear,Schr,dinger,Equations,Inverse,square,Potential,this,paper,authors,study,ground,states,class,coupled,nonlinear,equations,sign,changing,potential,which,asymptotically,resulting,engages,three,major,difficulties,One,that,associated,functional,strongly,indefinite,second,due,assumption,loses,ZN,translation,invariance,many,effective,methods,problems,cannot,applied,ones,third,difficulty,ui,does,belong,Kato,These,enable,them,develop,direct,approach,new,tricks,overcome,caused,by,singularity,dropping,periodicity
AB值：
0.646848
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