Guoyuan Chen, Xing Lin, Optimal feedback control for asymptotic stabilization of the inverted 3D pendulum based on deep neural networks, preprinted, 2021.
Guoyuan Chen, Deep neural network approximations for the stable manifolds of the Hamilton-Jacobi-Bellman equations, arXiv:2020.15350. 2020.
Guoyuan Chen, Gaosheng Zhu, Symplectic algorithms for stable manifolds in control theory, IEEE Transactions on Automatic Control, Vol. 67, No. 6, 3105-3111, DOI: 10.1109/TAC.2021.3093594, 2022.
Guoyuan Chen. Nondegeneracy of Ground States and Multiple Semiclassical Solutions of the Hartree Equation for General Dimensions. Results in Math, 76, 34, 2021.
Guoyuan Chen, Yong Liu, Juncheng Wei, Nondegeneracy of harmonic maps R2 to S2, Discrete and Continuous Dynamical Systems A, Volume 40, Number 6, June 2020, pp. 3215-3233. doi:10.3934/dcds.2019228.
Guoyuan Chen, Juncheng Wei, Yifu Zhou, Finite time blow-up for the fractional critical heat equation in Rn, Nonlinear Analysis: Theory, Methods and Applications, 193, 111420, April 2020.
Guoyuan Chen, Youquan Zheng, Fractional nonlinear Schr\"odinger equations with singular potential in $\mathbf R^n$, Journal of Mathematical Physics, 59, 071507, 2018.
Guoyuan Chen, Singularly perturbed Neumann problem for fractional Schrödinger equations, SCIENCE CHINA Mathematics, Vol. 61(4), 695-708, 2018.
Guoyuan Chen, Multiple semiclassical standing waves for fractional nonlinear Schrödinger equations, Nonlinearity, Vol. 28(4), 927-949, 2015.
Guoyuan Chen, Youquan Zheng, A perturbation result for the Q_{\gamma} curvature on S^n, Nonlinear Analysis: Theory, Methods and Applications, Vol. 97, 4-14, 2014.
Guoyuan Chen, Youquan Zheng, Concentration phenomenon for fractional nonlinear Schrödinger equations, Communications on Pure and Applied Analysis, Vol. 13, 2359-2376, 2014.
Guoyuan Chen, Youquan Zheng, Stationary solutions of non-autonomous Maxwell–Dirac systems, Journal of Differential Equations, Vol. 255, 840-864, 2013.
Guoyuan Chen, Fredholm index and spectral flow in non-self-adjoint case, Acta Mathematica Sinica, English Series, Vol. 29, 957-992, 2013.
Guoyuan Chen, Youquan Zheng, Solitary waves for the Klein–Gordon–Dirac model, Journal of Differential Equations, Vol. 253, 2263-2284, 2012.
Bernhelm Booss-Bavnbek, Guoyuan Chen, Matthias Lesch, Chaofeng Zhu, Perturbation of sectorial projections of elliptic pseudo-differential operators, Journal of Pseudo-differential Operators and Applications, Vol. 1 (3), 49-79, 2012.