3 papers
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} &-Δu+λu=γ(Φ_N(|x|)\ast|u|^p)u \ \ \mbox{in }, \\ &\lim\limits_…
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 the…
math.AP2022
Uniqueness, symmetry and convergence of positive ground state solutions of the Choquard type equation on a ball
Hui Guo, Tao Wang, Taishan Yi
This paper is concerned with the qualitative properties of the positive ground state solutions to the nonlocal Choquard type equation on a ball . First, we prove the radial sy…