典型文献
The Ground State Solutions for Kirchhoff-Schr?dinger Type Equations with Singular Exponential Nonlinearities in RN
文献摘要:
In this paper,the authors consider the following singular Kirchhoff-Schr?dinger problem M(∫RN|▽u|N+V(x)|u|Ndx)(-Nu+V(x)|u|N-2u)=f(x,y)/|x|η in RN,(Pη)where 0<η<N,M is a Kirchhoff-type function and V(x)is a continuous function with positive lower bound,f(x,t)has a critical exponential growth behavior at infinity.Combining variational techniques with some estimates,they get the existence of ground state solution for(Pη).Moreover,they also get the same result without the A-R condition.
文献关键词:
中图分类号:
作者姓名:
Yanjun LIU;Chungen LIU
作者机构:
School of Mathematical Sciences,Chongqing Normal University,Chongqing 401331,China;School of Mathematics and Information Science,Guangzhou University,Guangzhou 510006,China
文献出处:
引用格式:
[1]Yanjun LIU;Chungen LIU-.The Ground State Solutions for Kirchhoff-Schr?dinger Type Equations with Singular Exponential Nonlinearities in RN)[J].数学年刊B辑(英文版),2022(04):549-566
A类:
Nonlinearities,N+V,Ndx,Nu+V
B类:
Ground,State,Solutions,Kirchhoff,Schr,dinger,Type,Equations,Singular,Exponential,RN,In,this,paper,authors,consider,following,singular,problem,2u,where,type,function,continuous,positive,lower,bound,has,critical,exponential,growth,behavior,infinity,Combining,variational,techniques,some,estimates,they,get,existence,ground,state,solution,Moreover,also,same,result,without,condition
AB值:
0.645857
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