34 citations · 114 across the 17 of their papers we have counts for
17 papers
Positive normalized solutions of Schrödinger equations with Sobolev critical growth in bounded domains
Xiaojun Chang, Manting Liu, Duokui Yan
This paper investigates the existence of positive normalized solutions to the Sobolev critical Schrödinger equation: \begin{equation*} \left\{ \begin{aligned} &-Δu +λu =|u|^{2^*-2}…
Convergence of least energy sign-changing solutions for logarithmic Schrödinger equations on locally finite graphs
Xiaojun Chang, Vicenţiu D. Rădulescu, Ru Wang +1
In this paper, we study the following logarithmic Schrödinger equation \[ -Δu+λa(x)u=u\log u^2\ \ \ \ \mbox{ in }V \] on a connected locally finite graph , where denot…
Ground states for logarithmic Schrödinger equations on locally finite graphs
Xiaojun Chang, Ru Wang, Duokui Yan
In this paper, we study the following logarithmic Schrödinger equation \[ -Δu+a(x)u=u\log u^2\ \ \ \ \mbox{in }V, \] where is the graph Laplacian, is a connected loca…
Normalized ground state solutions of nonlinear Schrödinger equations involving exponential critical growth
Xiaojun Chang, Manting Liu, Duokui Yan
We are concerned with the following nonlinear Schrödinger equation \begin{eqnarray*} \begin{aligned} \begin{cases} -Δu+λu=f(u) \ \ {\rm in}\ \mathbb{R}^{2},\\ u\in H^{1}(\mathbb{R}…
Existence of hyperbolic motions to a class of Hamiltonians and generalized -body system via a geometric approach
Jiayin Liu, Duokui Yan, Yuan Zhou
For the classical -body problem in with , Maderna-Venturelli in their remarkable paper [Ann. Math. 2020] proved the existence of hyperbolic motions with an…
Geometric properties of minimizers in the planar three-body problem with two equal masses
Wentian Kuang, Duokui Yan
It it shown that each lobe of the figure-eight orbit is star-shaped, which implies the polar angle is monotone in each lobe. In general, it is not clear when a minimizer is star-sh…