摘要
We consider the Schrodinger-Poisson system with nonlinear term Q(x)|u|^p-1u,where the value of |x|→∞ lim Q(x)may not exist and Q may change sign.This means that the problem may have no limit problem.The existence of nonnegative ground state solutions is established.Our method relies upon the variational method and some analysis tricks.
作者
杜瑶
唐春雷
Yao DU;Chuniei TANG(School of Mathematics and Statistics,Southwest University,Chongqing 400715,China;School of Mathematical Sciences,Capital Normal University,Beijing 100048,China)
基金
National Natural Science Foundation of China(11471267)
the first author was supported by Graduate Student Scientific Research Innovation Projects of Chongqing(CYS17084).