4 citations · 6 across the 3 of their papers we have counts for
3 papers
math.OC2020★ 1 cited
Symplectic algorithms for stable manifolds in control theory
Guoyuan Chen, Gaosheng Zhu
In this note, we propose a symplectic algorithm for the stable manifolds of the Hamilton-Jacobi equations combined with an iterative procedure in [Sakamoto-van~der Schaft, IEEE Tra…
math.AP2016★ 4 cited
Nondegeneracy of ground states and multiple semiclassical solutions of the Hartree equation for general dimensions
Guoyuan Chen
We study nondegeneracy of ground states of the Hartree equation $$ -Δu+u=(I_{2}\ast u^2)u\quad\mbox{ in }\mathbb R^n $$ where and is the Newton potential. As an app…
math.AP2015★ 1 cited
Fractional nonlinear Schrödinger equations with singular potential in
Guoyuan Chen, Youquan Zheng
We are interested in nonlinear fractional Schrödinger equations with singular potential of form \begin{equation*} (-Δ)^su=\fracλ{|x|^α}u+|u|^{p-1}u,\quad \mathbf R^n\setminus\{0\},…