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math.AP2024
Uniqueness of positive radial solutions of Choquard type equations
Tao Wang, Xiaoyu Tian, Hui Guo
In this paper, we consider the following Choquard type equation \begin{equation} \left\{\begin{aligned} &-Îu+λu=γ(Φ_N(|x|)\ast|u|^p)u \ \ \mbox{in }, \\ &\lim\lim…
math.AP2024
Existence and uniqueness of ground state solutions for the planar Schrödinger-Newton equation on the disc
Hui Guo, Zhiwen Long, Tao Wang
This paper is concerned with the existence and qualitative properties of positive ground state solutions for the planar Schrödinger-Newton equation on the disc. First, we prove th…