【摘要】 该文研究如下一类非线性Choquard方程■其中N≥3,α∈(0,N),I_α是Riesz势,位势函数V:R~N→R为连续函数，F∈C~1(R,R),且F’(s)=f(s).在函数V和f满足合适的条件下(但f不必满足(AR)条件),利用变分方法,该文证明了上述方程存在一个正的基态解.更多还原

【Abstract】 In this paper we study the following nonlinear Choquard equation ■where N≥3,α ∈(0,N),I_α is the Riesz potential,V(x):R~N→R is a given potential function,and F ∈ C~1(R,R) with F’(s)=f(s).Under assumptions on V and f,we do not require the(AR) condition of f,the existence of ground state solutions are obtained via variational methods.更多还原