personal page of Jiansheng Geng

Jiansheng Geng	(中文版)
Professor
Department of Mathematics Nanjing University Office: 201-5，Mengminwei Building，Gulou Campus Tel: +86-25-83592216 Email: jgeng@nju.edu.cn

Main interests: Differential Equations and Dynamical Systems

Selected Publications: Geng,J.,You,J. and Zhao,Z., Localization in one-dimensional quasi-periodic nonlinear systems, Geom. Funct. Anal., 24(2014), 116-158 Geng,J. and Zhao, Z., Quasi-periodic solutions for one-dimensional nonlinear lattice Schrodinger equation with tangent potential, SIAM J. Math. Anal., 45(2013), 3651-3689 Geng,J. and You,J., A KAM theorem for higher dimensional nonlinear Schrodinger equation, J. Dynam. Differential Equations, 25(2013), 451-476 Geng, J. and Xu, X., Almost periodic solutions of one dimensional Schrodinger equation with the external parameters, J. Dynam. Differential Equations, 25(2013), 435-450 Geng, J. and Wu, J., Real analytic quasi-periodic solutions for the derivative nonlinear Schrodinger equation, J. Math. Phys., 53(2012), 102702, 27 pp. Geng, J., Invariant tori for full dimension for a nonlinear Schrodinger equation, J. Differential Equations, 252(2012), 1-34 Geng,J., Xu,X. and You, J., An infinite dimensional KAM theorem and its application to the two dimensional cubic Schrodinger equation, Adv. Math., 226(2011), 5361-5402 Geng, J. and Yi, Y., Quasi-periodic solutions in a nonlinear Schrodinger equation, J. Differential Equations, 233(2007),512-542 Geng, J. Viveros, J. and Yi, Y., Quasi-periodic breathers in Hamiltonian networks of long-range coupling, Physica D, 237(2008), 2866-2892 Geng, J. and You, J., KAM tori for higher dimensional beam equation with constant potential, Nonlinearity, 19(2006), 2405-2423 Geng,J.and You, J., A KAM theorem for Hamiltonian partial differential eqautions in higher dimensional spaces, Commun. Math. Phys., 262(2006), 343-372 Geng,J. and You, J., A KAM theorem for one dimensional Schrodinger equation with periodic boundary conditions, J. Differential Equations, 209(2005), 1-56