Xu, Xindong; You, Jiangong; Zhou, Qi Quasiperiodic solutions of NLS with Liouvillean frequencies. (English) Zbl 1493.37086 Anal. PDE 14, No. 8, 2327-2362 (2021). MSC: 37K55 35Q55 PDFBibTeX XMLCite \textit{X. Xu} et al., Anal. PDE 14, No. 8, 2327--2362 (2021; Zbl 1493.37086) Full Text: DOI arXiv
Wang, Jing; You, Jiangong; Zhou, Qi Response solutions for quasi-periodically forced harmonic oscillators. (English) Zbl 1369.34064 Trans. Am. Math. Soc. 369, No. 6, 4251-4274 (2017). Reviewer: Petro Feketa (Erfurt) MSC: 34C27 34C15 37C60 70K40 34C46 PDFBibTeX XMLCite \textit{J. Wang} et al., Trans. Am. Math. Soc. 369, No. 6, 4251--4274 (2017; Zbl 1369.34064) Full Text: DOI
Geng, Jiansheng; You, Jiangong; Zhao, Zhiyan Localization in one-dimensional quasi-periodic nonlinear systems. (English) Zbl 1293.35335 Geom. Funct. Anal. 24, No. 1, 116-158 (2014). MSC: 35Q82 35Q55 82B44 37K55 PDFBibTeX XMLCite \textit{J. Geng} et al., Geom. Funct. Anal. 24, No. 1, 116--158 (2014; Zbl 1293.35335) Full Text: DOI
You, Jiangong; Zhou, Qi Embedding of analytic quasi-periodic cocycles into analytic quasi-periodic linear systems and its applications. (English) Zbl 1286.37004 Commun. Math. Phys. 323, No. 3, 975-1005 (2013). Reviewer: Meirong Zhang (Beijing) MSC: 37A20 37C55 37J40 34C27 PDFBibTeX XMLCite \textit{J. You} and \textit{Q. Zhou}, Commun. Math. Phys. 323, No. 3, 975--1005 (2013; Zbl 1286.37004) Full Text: DOI arXiv
Wu, Jian; You, Jiangong Reducibility of slow quasi-periodic linear systems. (English) Zbl 1350.37022 Proc. Am. Math. Soc. 141, No. 9, 3147-3155 (2013). MSC: 37C15 37C05 34A30 34C27 34C20 PDFBibTeX XMLCite \textit{J. Wu} and \textit{J. You}, Proc. Am. Math. Soc. 141, No. 9, 3147--3155 (2013; Zbl 1350.37022) Full Text: DOI
Geng, Jiansheng; You, Jiangong A KAM theorem for higher dimensional nonlinear Schrödinger equations. (English) Zbl 1358.37113 J. Dyn. Differ. Equations 25, No. 2, 451-476 (2013). MSC: 37K55 35B10 35Q55 PDFBibTeX XMLCite \textit{J. Geng} and \textit{J. You}, J. Dyn. Differ. Equations 25, No. 2, 451--476 (2013; Zbl 1358.37113) Full Text: DOI
Geng, Jiansheng; Xu, Xindong; You, Jiangong An infinite dimensional KAM theorem and its application to the two dimensional cubic Schrödinger equation. (English) Zbl 1213.37104 Adv. Math. 226, No. 6, 5361-5402 (2011). Reviewer: Chuangan Hu (Cupertino) MSC: 37K55 35B10 35Q55 PDFBibTeX XMLCite \textit{J. Geng} et al., Adv. Math. 226, No. 6, 5361--5402 (2011; Zbl 1213.37104) Full Text: DOI
Lu, Hui; You, Jian Gong Two-dimensional invariant tori in the neighborhood of an elliptic equilibrium of Hamiltonian systems. (English) Zbl 1175.37064 Acta Math. Sin., Engl. Ser. 25, No. 8, 1363-1378 (2009). Reviewer: Jan Andres (Olomouc) MSC: 37J40 PDFBibTeX XMLCite \textit{H. Lu} and \textit{J. G. You}, Acta Math. Sin., Engl. Ser. 25, No. 8, 1363--1378 (2009; Zbl 1175.37064) Full Text: DOI
Xu, Junxiang; You, Jiangong Gevrey-smoothness of invariant tori for analytic nearly integrable Hamiltonian systems under Rüssmann’s non-degeneracy condition. (English) Zbl 1112.37045 J. Differ. Equations 235, No. 2, 609-622 (2007). MSC: 37J40 37J15 PDFBibTeX XMLCite \textit{J. Xu} and \textit{J. You}, J. Differ. Equations 235, No. 2, 609--622 (2007; Zbl 1112.37045) Full Text: DOI
Geng, Jiansheng; You, Jiangong A KAM theorem for Hamiltonian partial differential equations in higher dimensional spaces. (English) Zbl 1103.37047 Commun. Math. Phys. 262, No. 2, 343-372 (2006). MSC: 37K55 35Q72 35Q55 35L75 PDFBibTeX XMLCite \textit{J. Geng} and \textit{J. You}, Commun. Math. Phys. 262, No. 2, 343--372 (2006; Zbl 1103.37047) Full Text: DOI
Geng, Jiansheng; You, Jiangong A KAM theorem for one dimensional Schrödinger equation with periodic boundary conditions. (English) Zbl 1064.35186 J. Differ. Equations 209, No. 1, 1-56 (2005). Reviewer: Igor Andrianov (Köln) MSC: 35Q55 37K55 PDFBibTeX XMLCite \textit{J. Geng} and \textit{J. You}, J. Differ. Equations 209, No. 1, 1--56 (2005; Zbl 1064.35186) Full Text: DOI
Geng, Jiansheng; You, Jiangong KAM tori of Hamiltonian perturbations of 1D linear beam equations. (English) Zbl 1017.35110 J. Math. Anal. Appl. 277, No. 1, 104-121 (2003). MSC: 35Q72 37K55 74K10 PDFBibTeX XMLCite \textit{J. Geng} and \textit{J. You}, J. Math. Anal. Appl. 277, No. 1, 104--121 (2003; Zbl 1017.35110) Full Text: DOI
Xu, Junxiang; You, Jiangong Persistence of lower-dimensional tori under the first Melnikov’s non-resonance condition. (English) Zbl 1031.37053 J. Math. Pures Appl., IX. Sér. 80, No. 10, 1045-1067 (2001). Reviewer: Manuel de León (Madrid) MSC: 37J40 70H08 PDFBibTeX XMLCite \textit{J. Xu} and \textit{J. You}, J. Math. Pures Appl. (9) 80, No. 10, 1045--1067 (2001; Zbl 1031.37053) Full Text: DOI
You, Jiangong Perturbations of lower dimensional tori for Hamiltonian systems. (English) Zbl 0919.58055 J. Differ. Equations 152, No. 1, 1-29 (1999). MSC: 37J40 PDFBibTeX XMLCite \textit{J. You}, J. Differ. Equations 152, No. 1, 1--29 (1999; Zbl 0919.58055) Full Text: DOI Link