摘要
In this article,we study the existence and asymptotic behavior of multi-bump solutions for nonlinear Choquard equation with a general nonlinearity-Δu+(λa(x)+1)u=(1/|x|α*F(u))f(u)in R^N,where N≥3,0<α<min{N,4},λis a positive parameter and the nonnegative potential function a(x)is continuous.Using variational methods,we prove that if the potential well int(a^-1(0))consists of k disjoint components,then there exist at least 2^k-1 multi-bump solutions.The asymptotic behavior of these solutions is also analyzed asλ→+∞.
作者
Lun GUO
Tingxi HU
郭伦;胡亭曦(College of Science,Huazhong Agricultural University,Wuhan 430070,China;School of Mathematics and Statistics,Southwest University,Chongqing 400715,China)
基金
L.Guo is supported by the Fundamental Research Funds for the Central Universities(2662018QD039)
T.Hu is supported by the Project funded by China Postdoctoral Science Foundation(2018M643389).