题目：Ground state solutions for Schrödinger-Poisson systems on R³ with  a weighted critical exponent

作者：杜瑶、苏加宝（通讯作者）

期刊：Mathematical Methods in the Applied Sciences, 46,6(2023), 7466-7488

简介：In this paper, we are interested in the existence of ground state solutions for the weighted critical Schrödinger–Poisson systems. The weighted critical exponent may be the Hénon–Sobolev, the Sobolev or the Hardy–Sobolev critical exponent. Moreover, the potentials are power type, which may be singular at origin or unbounded. Due to the presence of Possion term, we can not directly obtain the boundedness of the Palais–Smale sequences of the associated functional for some cases. The Pohozaev identity, the minimax principle and some techniques are used to overcome the difficulties.