Edit Profile (opens in new tab) Long, Yiming Co-Author Distance Author ID: long.yiming Published as: Long, Yiming; Long, Yi Ming; Long, Yi-Ming more...less Homepage: http://en.cim.nankai.edu.cn/About_CIM/Faculty/Long_Yiming.htm External Links: MGP · Wikidata · ResearchGate · GND · IdRef Videos: carmin.tv Documents Indexed: 112 Publications since 1989, including 1 Book and 2 Additional arXiv Preprints 3 Contributions as Editor Reviewing Activity: 11 Reviews Co-Authors: 43 Co-Authors with 80 Joint Publications 1,036 Co-Co-Authors all top 5 Co-Authors 35 single-authored 13 Duan, Huagui 13 Wang, Wei 11 Liu, Hui 7 Liu, Chungen 7 Zhu, Chaofeng 4 Hu, Xijun 4 Sun, Shanzhong 4 Zhou, Qinglong 3 An, Tianqing 3 Dong, Yujun 3 Xiao, Yuming 3 Zhang, Shiqing 2 Chang, Kung-Ching 2 Dong, Di 2 Zeng, Chongchun 2 Zhang, Duanzhi 1 Ambrosetti, Antonio 1 Bangert, Victor 1 Benci, Vieri 1 Chang, Yinshan 1 Chen, Guoling 1 Chen, Hua 1 Ekeland, Ivar 1 Kuang, Wentian 1 Li, Chengyue 1 Liu, Bowen 1 Liu, Sai 1 Llibre, Jaume 1 Lu, Guangcun 1 Nishiura, Yasumasa 1 Ou, Yuwei 1 Qi, Zihao 1 Qiao, Hui 1 Sun, Shanzong 1 Sun, Yijing 1 Wang, Jian 1 Wang, Yuchen 1 Wu, Shaoping 1 Xu, Xiangjin 1 Zehnder, Eduard J. 1 Zhang, Ping’an 1 Zhou, Congyi 1 Zhu, Gaosheng all top 5 Serials 12 Journal of Differential Equations 7 Acta Mathematica Sinica. English Series 6 Advanced Nonlinear Studies 5 Journal of Functional Analysis 5 Science in China. Series A 5 Calculus of Variations and Partial Differential Equations 4 Archive for Rational Mechanics and Analysis 4 Advances in Mathematics 4 Chinese Annals of Mathematics. Series B 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 Frontiers of Mathematics in China 3 Mathematische Zeitschrift 3 Nankai Series in Pure, Applied Mathematics and Theoretical Physics 3 Nonlinear Analysis. Theory, Methods & Applications 2 Acta Mathematica Sinica 2 Mathematische Annalen 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Transactions of the American Mathematical Society 2 Chinese Science Bulletin 2 Qualitative Theory of Dynamical Systems 1 Nonlinearity 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Duke Mathematical Journal 1 Journal of Differential Geometry 1 Pacific Journal of Mathematics 1 Chinese Annals of Mathematics. Series A 1 Advances in Mathematics (Beijing) 1 International Journal of Mathematics 1 Acta Mathematica Sinica. New Series 1 Celestial Mechanics and Dynamical Astronomy 1 Topological Methods in Nonlinear Analysis 1 NoDEA. Nonlinear Differential Equations and Applications 1 Discrete and Continuous Dynamical Systems 1 Annals of Mathematics. Second Series 1 Regular and Chaotic Dynamics 1 Journal of the European Mathematical Society (JEMS) 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Analysis in Theory and Applications 1 Progress in Mathematics 1 Journal of Fixed Point Theory and Applications 1 Scientia Sinica. Mathematica 1 Communications in Mathematics and Statistics all top 5 Fields 70 Dynamical systems and ergodic theory (37-XX) 54 Global analysis, analysis on manifolds (58-XX) 42 Ordinary differential equations (34-XX) 40 Differential geometry (53-XX) 27 Mechanics of particles and systems (70-XX) 6 Partial differential equations (35-XX) 4 General and overarching topics; collections (00-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Convex and discrete geometry (52-XX) 2 Topological groups, Lie groups (22-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Manifolds and cell complexes (57-XX) 1 Number theory (11-XX) 1 Group theory and generalizations (20-XX) 1 Operator theory (47-XX) 1 Algebraic topology (55-XX) 1 Probability theory and stochastic processes (60-XX) 1 Fluid mechanics (76-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Astronomy and astrophysics (85-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 96 Publications have been cited 2,186 times in 792 Documents Cited by ▼ Year ▼ Index theory for symplectic paths with applications. Zbl 1012.37012 Long, Yiming 260 2002 Combined effects of singular and superlinear nonlinearities in some singular boundary value problems. Zbl 1109.35344 Sun, Yijing; Wu, Shaoping; Long, Yiming 127 2001 Closed characteristics on compact convex hypersurfaces in \(\mathbb{R}^{2n}\). Zbl 1028.53003 Long, Yiming; Zhu, Chaofeng 115 2002 Maslov-type index, degenerate critical points, and asymptotically linear Hamiltonian systems. Zbl 0736.58022 Long, Yiming 105 1990 Bott formula of the Maslov-type index theory. Zbl 0924.58024 Long, Yiming 92 1999 Precise iteration formulae of the Maslov-type index theory and ellipticity of closed characteristics. Zbl 0970.37013 Long, Yiming 75 2000 The existence of two closed geodesics on every Finsler 2-sphere. Zbl 1187.53040 Bangert, Victor; Long, Yiming 62 2010 Nonlinear oscillations for classical Hamiltonian systems with bi-even subquadratic potentials. Zbl 0824.34042 Long, Yiming 56 1995 Multiple brake orbits in bounded convex symmetric domains. Zbl 1118.58006 Long, Yiming; Zhang, Duanzhi; Zhu, Chaofeng 55 2006 Multiple solutions of perturbed superquadratic second order Hamiltonian systems. Zbl 0676.34026 Long, Yiming 53 1989 Maslov-type index theory for symplectic paths and spectral flow. I. Zbl 0959.58016 Zhu, Chaofeng; Long, Yiming 49 1999 A Maslov-type index theory for symplectic paths. Zbl 0977.53075 Long, Yiming 48 1997 Maslov-type index theory for symplectic paths and spectral flow. II. Zbl 0959.58017 Long, Yiming; Zhu, Chaofeng 47 2000 The iteration formula of the Maslov-type index theory with applications to nonlinear Hamiltonian systems. Zbl 0870.58024 Dong, Di; Long, Yiming 45 1997 Multiplicity of closed characteristics on symmetric convex hypersurfaces in \(\mathbb{R}^{2n}\). Zbl 1005.37030 Liu, Chun-gen; Long, Yiming; Zhu, Chaofeng 41 2002 Resonance identity, stability, and multiplicity of closed characteristics on compact convex hypersurfaces. Zbl 1139.58007 Wang, Wei; Hu, Xijun; Long, Yiming 40 2007 Four-body central configurations with some equal masses. Zbl 1033.70004 Long, Yiming; Sun, Shanzhong 39 2002 The minimal period problem of periodic solutions for autonomous superquadratic second order Hamiltonian systems. Zbl 0804.34043 Long, Yiming 38 1994 The minimal period problem of classical Hamiltonian systems with even potentials. Zbl 0804.58018 Long, Yiming 36 1993 Multiple closed geodesics on 3-spheres. Zbl 1172.53027 Long, Yiming; Duan, Huagui 32 2009 Linear stability of elliptic Lagrangian solutions of the planar three-body problem via index theory. Zbl 1301.70007 Hu, Xijun; Long, Yiming; Sun, Shanzhong 31 2014 Multiple closed geodesics on bumpy Finsler \(n\)-spheres. Zbl 1106.53048 Duan, Huagui; Long, Yiming 30 2007 The index growth and multiplicity of closed geodesics. Zbl 1206.53043 Duan, Huagui; Long, Yiming 30 2010 Multiplicity and stability of closed geodesics on Finsler 2-spheres. Zbl 1099.53036 Long, Yiming 28 2006 Iterated index formulae for closed geodesics with applications. Zbl 1054.53063 Liu, Chungen; Long, Yiming 28 2002 Iteration inequalities of the Maslov-type index theory with applications. Zbl 0961.37017 Liu, Chungen; Long, Yiming 25 2000 The enhanced common index jump theorem for symplectic paths and non-hyperbolic closed geodesics on Finsler manifolds. Zbl 1381.53071 Duan, Huagui; Long, Yiming; Wang, Wei 23 2016 Multiple periodic points of the Poincaré map of Lagrangian systems on tori. Zbl 0984.37074 Long, Yiming 22 2000 On the minimal period for the periodic solutions problem of nonlinear Hamiltonian systems. Zbl 0890.58069 Long, Yiming 22 1997 A note on the existence of multiple brake orbits. Zbl 0811.70015 Ambrosetti, Antonio; Benci, Vieri; Long, Yiming 21 1993 Closed characteristics on partially symmetric compact convex hypersurfaces in \(\mathbb R^{2n}\). Zbl 1109.37048 Dong, Yujun; Long, Yiming 21 2004 Two closed geodesics on compact simply connected bumpy Finsler manifolds. Zbl 1357.53086 Duan, Huagui; Long, Yiming; Wang, Wei 21 2016 Hyperbolic closed characteristics on compact convex smooth hypersurfaces in \(\mathbb{R}^{2n}\). Zbl 0915.58032 Long, Yiming 20 1998 Indexing domains of instability for Hamiltonian systems. Zbl 0915.58035 Long, Yiming; An, Tianqing 18 1998 Closed characteristics on non-degenerate star-shaped hypersurfaces in \(\mathbb R^{2n}\). Zbl 1099.37047 Hu, Xijun; Long, Yiming 17 2002 Geometric characterizations for variational minimization solutions of the 3-body problem. Zbl 0980.70009 Long, Yiming; Zhang, Shiqing 16 2000 Stability of closed geodesics on Finsler 2-spheres. Zbl 1151.53037 Long, Yiming; Wang, Wei 15 2008 Periodic solutions for a class of nonautonomous Hamiltonian systems. Zbl 0960.37028 Long, Yiming; Xu, Xiangjin 14 2000 The existence of two closed characteristics on every compact star-shaped hypersurface in \(\mathbb{R}^{4}\). Zbl 1338.58008 Liu, Hui; Long, Yi Ming 14 2016 An unbounded solution of a superlinear Duffing’s equation. Zbl 0741.34015 Long, Yiming 13 1991 The structure of the singular symplectic matrix set. Zbl 0746.15006 Long, Yiming 13 1991 Periodic solutions of perturbed superquadratic Hamiltonian systems. Zbl 0724.34052 Long, Yiming 13 1990 Resonance identities for closed characteristics on compact star-shaped hypersurfaces in \(\mathbf R^{2n}\). Zbl 1347.37099 Liu, Hui; Long, Yiming; Wang, Wei 13 2014 Topological structure of non-contractible loop space and closed geodesics on real projective spaces with odd dimensions. Zbl 1351.37153 Xiao, Yuming; Long, Yiming 13 2015 Hyperbolic characteristics on star-shaped hypersurfaces. Zbl 0988.37078 Liu, Chungen; Long, Yiming 12 1999 Collinear central configurations and singular surfaces in the mass space. Zbl 1067.70010 Long, Yiming; Sun, Shanzong 12 2004 Two closed geodesics on \(\mathbb RP^{2n+1}\) with a bumpy Finsler metric. Zbl 1330.53096 Duan, Huagui; Long, Yiming; Xiao, Yuming 12 2015 Maslov-type indices and linear stability of elliptic Euler solutions of the three-body problem. Zbl 1382.35293 Zhou, Qinglong; Long, Yiming 12 2017 Geometric characterization for variational minimization solutions of the 3-body problem with fixed energy. Zbl 0947.70009 Long, Yiming; Zhang, Shiqing 11 2000 Periodic solutions of superquadratic Hamiltonian systems with bounded forcing terms. Zbl 0666.34045 Long, Yiming 11 1990 Multiple closed geodesics on Riemannian 3-spheres. Zbl 1125.58005 Long, Yiming; Wang, Wei 11 2007 Periodic solutions of second order nonlinear Hamiltonian systems with superquadratic potentials having zero mean value. Zbl 1062.37508 Chen, Guoling; Long, Yiming 10 1998 On the index theories for second order Hamiltonian systems. Zbl 0945.37018 An, Tianqing; Long, Yiming 10 1998 Multiplicity and stability of closed geodesics on bumpy Finsler 3-spheres. Zbl 1165.53052 Duan, Huagui; Long, Yiming 10 2008 Normal forms of symplectic matrices. Zbl 0959.15008 Long, Yiming; Dong, Di 9 2000 Stable closed characteristics on partially symmetric convex hypersurfaces. Zbl 1108.37044 Dong, Yujun; Long, Yiming 9 2004 Admissible shapes of 4-body non-collinear relative equilibria. Zbl 1106.70009 Long, Yiming 9 2003 Topological structures of \(\omega\)-subsets in symplectic groups. Zbl 0930.22001 Long, Yiming 8 1999 Non-hyperbolic closed characteristics on non-degenerate star-shaped hypersurfaces in \(\mathbb{R}^{2n}\). Zbl 1383.58007 Duan, Hua Gui; Liu, Hui; Long, Yi Ming; Wang, Wei 8 2018 Resonance identity for symmetric closed characteristics on symmetric convex Hamiltonian energy hypersurfaces and its applications. Zbl 1321.37060 Liu, Hui; Long, Yiming 8 2013 A new class of problems in the calculus of variations. Zbl 1286.49025 Ekeland, Ivar; Long, Yiming; Zhou, Qinglong 8 2013 Resonance identities and stability of symmetric closed characteristics on symmetric compact star-shaped hypersurfaces. Zbl 1357.37083 Liu, Hui; Long, Yiming 7 2015 The reduction of the linear stability of elliptic Euler-Moulton solutions of the \(n\)-body problem to those of 3-body problems. Zbl 1365.70012 Zhou, Qinglong; Long, Yiming 7 2017 The existence of two non-contractible closed geodesics on every bumpy Finsler compact space form. Zbl 1423.53053 Liu, Hui; Long, Yiming; Xiao, Yuming 7 2018 Periodic solutions for the generalized anisotropic Lennard-Jones Hamiltonian. Zbl 1343.70010 Llibre, Jaume; Long, Yiming 6 2015 An optimal increasing estimate of the iterated Maslov-type indices. Zbl 1002.53055 Liu, Chungen; Long, Yiming 6 1998 Index iteration theory for symplectic paths with applications to nonlinear Hamiltonian systems. Zbl 1036.37020 Long, Yiming 6 2002 Linear stability of the elliptic relative equilibrium with \((1 + n)\)-gon central configurations in planar \(n\)-body problem. Zbl 1437.37066 Hu, Xijun; Long, Yiming; Ou, Yuwei 6 2020 Infinitely many periodic solution orbits of autonomous Lagrangian systems on tori. Zbl 1011.37038 Long, Yiming; Lu, Guangcun 5 2003 Forced oscillations for the triple pendulum. Zbl 0723.70025 Chang, Kung-Ching; Long, Yiming; Zehnder, Eduard 5 1990 Concentrated steady vorticities of the Euler equation on 2-d domains and their linear stability. Zbl 1412.35244 Long, Yiming; Wang, Yuchen; Zeng, Chongchun 5 2019 Geometric characterizations for variational minimization solutions of the 3-body problem. Zbl 1288.70007 Long, Yiming; Zhang, Shiqing 4 1999 Collinear central configurations in celestial mechanics. Zbl 1041.37042 Long, Yiming; Sun, Shanzhong 4 2003 Index iteration theory for symplectic paths and multiple periodic solution orbits. Zbl 1222.37050 Long, Yi-Ming 4 2006 Geodesics in the compactly supported Hamiltonian diffeomorphism group. Zbl 0843.58022 Long, Yiming 3 1995 Closed characteristics on asymmetric convex hypersurfaces in \(\mathbb{R}^{2n}\) and the corresponding pinching conditions. Zbl 1073.53010 Dong, Yujun; Long, Yiming 3 2004 Dynamics on compact convex hypersurfaces in \(\mathbb{R}^{2n}\). Zbl 1193.37084 Long, Yiming 3 2000 Stability of closed characteristics on compact convex hypersurfaces. Zbl 1136.58009 Long, Yiming; Wang, Wei 3 2006 Equivalence of linear stabilities of elliptic triangle solutions of the planar charged and classical three-body problems. Zbl 1309.70011 Zhou, Qinglong; Long, Yiming 3 2015 Symmetric closed characteristics on symmetric compact convex hypersurfaces in \(\mathbb{R}^8\). Zbl 1329.52004 Liu, Hui; Long, Yiming; Wang, Wei; Zhang, Ping’an 3 2014 Non-hyperbolic closed characteristics on symmetric compact convex hypersurfaces in \(\mathbb R^{2n}\). Zbl 1408.58010 Liu, Hui; Long, Yiming; Wang, Wei 3 2014 Linear stability of some symplectic matrices. Zbl 1200.37049 Zhu, Gaosheng; Long, Yiming 3 2010 Index iteration theory for brake orbit type solutions and applications. Zbl 1488.37044 Liu, Chungen; Long, Yiming; Zhang, Duanzhi 3 2021 The Rabinowitz minimal periodic solution conjecture. Zbl 1493.37077 Long, Yiming 3 2021 Existence of nontrival homoclinic orbits in a class of Hamiltonian systems \(\ddot u-L(t)u+W_u^\prime(t,u)=0\). Zbl 1014.37039 Li, Chengyue; Long, Yiming 2 2002 A new index theory for \(\mathrm{GL}^{+}(2)\)-paths with applications to asymptotically linear systems. Zbl 1360.58009 Liu, Sai; Long, Yiming 2 2017 Index iteration theories for periodic orbits: old and new. Zbl 1457.37082 Duan, Huagui; Long, Yiming; Zhu, Chaofeng 2 2020 \(\omega\)-index theory and linear stability of elliptic Lagrangian solutions of the classical three-body problem. Zbl 1336.70026 Long, Yiming 2 2012 Collection of problems proposed at International Conference on Variational Methods. Zbl 1147.53002 Long, Yiming 2 2008 Solutions of the generalized Lennard-Jones system. Zbl 1383.34021 Liu, Bowen; Long, Yiming; Zeng, Chongchun 2 2018 On the density of the range for some nonlinear operators. Zbl 0757.34034 Long, Yiming 1 1989 Estimates on the minimal period for periodic solutions to autonomous superquadratic second-order Hamiltonian systems. Zbl 1011.34030 Long, Yiming 1 1992 Criterion for \(\text{SL}(2,\mathbb{Z})\)-matrix to be conjugate to its inverse. Zbl 1022.20021 Long, Yiming 1 2002 Morse indices of closed geodesics on Katok’s 2-spheres. Zbl 1197.58003 Long, Yiming; Wang, Wei 1 2008 On bifurcation of eigenvalues along convex symplectic paths. Zbl 1409.37058 Chang, Yinshan; Long, Yiming; Wang, Jian 1 2019 Irrationally elliptic closed characteristics on symmetric compact star-shaped hypersurfaces in \(\mathbf{R}^{4}\). Zbl 1365.58008 Liu, Hui; Long, Yiming 1 2017 Index iteration theory for brake orbit type solutions and applications. Zbl 1488.37044 Liu, Chungen; Long, Yiming; Zhang, Duanzhi 3 2021 The Rabinowitz minimal periodic solution conjecture. Zbl 1493.37077 Long, Yiming 3 2021 Linear stability of the elliptic relative equilibrium with \((1 + n)\)-gon central configurations in planar \(n\)-body problem. Zbl 1437.37066 Hu, Xijun; Long, Yiming; Ou, Yuwei 6 2020 Index iteration theories for periodic orbits: old and new. Zbl 1457.37082 Duan, Huagui; Long, Yiming; Zhu, Chaofeng 2 2020 Concentrated steady vorticities of the Euler equation on 2-d domains and their linear stability. Zbl 1412.35244 Long, Yiming; Wang, Yuchen; Zeng, Chongchun 5 2019 On bifurcation of eigenvalues along convex symplectic paths. Zbl 1409.37058 Chang, Yinshan; Long, Yiming; Wang, Jian 1 2019 Non-hyperbolic closed characteristics on non-degenerate star-shaped hypersurfaces in \(\mathbb{R}^{2n}\). Zbl 1383.58007 Duan, Hua Gui; Liu, Hui; Long, Yi Ming; Wang, Wei 8 2018 The existence of two non-contractible closed geodesics on every bumpy Finsler compact space form. Zbl 1423.53053 Liu, Hui; Long, Yiming; Xiao, Yuming 7 2018 Solutions of the generalized Lennard-Jones system. Zbl 1383.34021 Liu, Bowen; Long, Yiming; Zeng, Chongchun 2 2018 Maslov-type indices and linear stability of elliptic Euler solutions of the three-body problem. Zbl 1382.35293 Zhou, Qinglong; Long, Yiming 12 2017 The reduction of the linear stability of elliptic Euler-Moulton solutions of the \(n\)-body problem to those of 3-body problems. Zbl 1365.70012 Zhou, Qinglong; Long, Yiming 7 2017 A new index theory for \(\mathrm{GL}^{+}(2)\)-paths with applications to asymptotically linear systems. Zbl 1360.58009 Liu, Sai; Long, Yiming 2 2017 Irrationally elliptic closed characteristics on symmetric compact star-shaped hypersurfaces in \(\mathbf{R}^{4}\). Zbl 1365.58008 Liu, Hui; Long, Yiming 1 2017 The enhanced common index jump theorem for symplectic paths and non-hyperbolic closed geodesics on Finsler manifolds. Zbl 1381.53071 Duan, Huagui; Long, Yiming; Wang, Wei 23 2016 Two closed geodesics on compact simply connected bumpy Finsler manifolds. Zbl 1357.53086 Duan, Huagui; Long, Yiming; Wang, Wei 21 2016 The existence of two closed characteristics on every compact star-shaped hypersurface in \(\mathbb{R}^{4}\). Zbl 1338.58008 Liu, Hui; Long, Yi Ming 14 2016 Topological structure of non-contractible loop space and closed geodesics on real projective spaces with odd dimensions. Zbl 1351.37153 Xiao, Yuming; Long, Yiming 13 2015 Two closed geodesics on \(\mathbb RP^{2n+1}\) with a bumpy Finsler metric. Zbl 1330.53096 Duan, Huagui; Long, Yiming; Xiao, Yuming 12 2015 Resonance identities and stability of symmetric closed characteristics on symmetric compact star-shaped hypersurfaces. Zbl 1357.37083 Liu, Hui; Long, Yiming 7 2015 Periodic solutions for the generalized anisotropic Lennard-Jones Hamiltonian. Zbl 1343.70010 Llibre, Jaume; Long, Yiming 6 2015 Equivalence of linear stabilities of elliptic triangle solutions of the planar charged and classical three-body problems. Zbl 1309.70011 Zhou, Qinglong; Long, Yiming 3 2015 Linear stability of elliptic Lagrangian solutions of the planar three-body problem via index theory. Zbl 1301.70007 Hu, Xijun; Long, Yiming; Sun, Shanzhong 31 2014 Resonance identities for closed characteristics on compact star-shaped hypersurfaces in \(\mathbf R^{2n}\). Zbl 1347.37099 Liu, Hui; Long, Yiming; Wang, Wei 13 2014 Symmetric closed characteristics on symmetric compact convex hypersurfaces in \(\mathbb{R}^8\). Zbl 1329.52004 Liu, Hui; Long, Yiming; Wang, Wei; Zhang, Ping’an 3 2014 Non-hyperbolic closed characteristics on symmetric compact convex hypersurfaces in \(\mathbb R^{2n}\). Zbl 1408.58010 Liu, Hui; Long, Yiming; Wang, Wei 3 2014 Resonance identity for symmetric closed characteristics on symmetric convex Hamiltonian energy hypersurfaces and its applications. Zbl 1321.37060 Liu, Hui; Long, Yiming 8 2013 A new class of problems in the calculus of variations. Zbl 1286.49025 Ekeland, Ivar; Long, Yiming; Zhou, Qinglong 8 2013 \(\omega\)-index theory and linear stability of elliptic Lagrangian solutions of the classical three-body problem. Zbl 1336.70026 Long, Yiming 2 2012 The existence of two closed geodesics on every Finsler 2-sphere. Zbl 1187.53040 Bangert, Victor; Long, Yiming 62 2010 The index growth and multiplicity of closed geodesics. Zbl 1206.53043 Duan, Huagui; Long, Yiming 30 2010 Linear stability of some symplectic matrices. Zbl 1200.37049 Zhu, Gaosheng; Long, Yiming 3 2010 Multiple closed geodesics on 3-spheres. Zbl 1172.53027 Long, Yiming; Duan, Huagui 32 2009 Stability of closed geodesics on Finsler 2-spheres. Zbl 1151.53037 Long, Yiming; Wang, Wei 15 2008 Multiplicity and stability of closed geodesics on bumpy Finsler 3-spheres. Zbl 1165.53052 Duan, Huagui; Long, Yiming 10 2008 Collection of problems proposed at International Conference on Variational Methods. Zbl 1147.53002 Long, Yiming 2 2008 Morse indices of closed geodesics on Katok’s 2-spheres. Zbl 1197.58003 Long, Yiming; Wang, Wei 1 2008 Resonance identity, stability, and multiplicity of closed characteristics on compact convex hypersurfaces. Zbl 1139.58007 Wang, Wei; Hu, Xijun; Long, Yiming 40 2007 Multiple closed geodesics on bumpy Finsler \(n\)-spheres. Zbl 1106.53048 Duan, Huagui; Long, Yiming 30 2007 Multiple closed geodesics on Riemannian 3-spheres. Zbl 1125.58005 Long, Yiming; Wang, Wei 11 2007 Multiple brake orbits in bounded convex symmetric domains. Zbl 1118.58006 Long, Yiming; Zhang, Duanzhi; Zhu, Chaofeng 55 2006 Multiplicity and stability of closed geodesics on Finsler 2-spheres. Zbl 1099.53036 Long, Yiming 28 2006 Index iteration theory for symplectic paths and multiple periodic solution orbits. Zbl 1222.37050 Long, Yi-Ming 4 2006 Stability of closed characteristics on compact convex hypersurfaces. Zbl 1136.58009 Long, Yiming; Wang, Wei 3 2006 Closed characteristics on partially symmetric compact convex hypersurfaces in \(\mathbb R^{2n}\). Zbl 1109.37048 Dong, Yujun; Long, Yiming 21 2004 Collinear central configurations and singular surfaces in the mass space. Zbl 1067.70010 Long, Yiming; Sun, Shanzong 12 2004 Stable closed characteristics on partially symmetric convex hypersurfaces. Zbl 1108.37044 Dong, Yujun; Long, Yiming 9 2004 Closed characteristics on asymmetric convex hypersurfaces in \(\mathbb{R}^{2n}\) and the corresponding pinching conditions. Zbl 1073.53010 Dong, Yujun; Long, Yiming 3 2004 Admissible shapes of 4-body non-collinear relative equilibria. Zbl 1106.70009 Long, Yiming 9 2003 Infinitely many periodic solution orbits of autonomous Lagrangian systems on tori. Zbl 1011.37038 Long, Yiming; Lu, Guangcun 5 2003 Collinear central configurations in celestial mechanics. Zbl 1041.37042 Long, Yiming; Sun, Shanzhong 4 2003 Index theory for symplectic paths with applications. Zbl 1012.37012 Long, Yiming 260 2002 Closed characteristics on compact convex hypersurfaces in \(\mathbb{R}^{2n}\). Zbl 1028.53003 Long, Yiming; Zhu, Chaofeng 115 2002 Multiplicity of closed characteristics on symmetric convex hypersurfaces in \(\mathbb{R}^{2n}\). Zbl 1005.37030 Liu, Chun-gen; Long, Yiming; Zhu, Chaofeng 41 2002 Four-body central configurations with some equal masses. Zbl 1033.70004 Long, Yiming; Sun, Shanzhong 39 2002 Iterated index formulae for closed geodesics with applications. Zbl 1054.53063 Liu, Chungen; Long, Yiming 28 2002 Closed characteristics on non-degenerate star-shaped hypersurfaces in \(\mathbb R^{2n}\). Zbl 1099.37047 Hu, Xijun; Long, Yiming 17 2002 Index iteration theory for symplectic paths with applications to nonlinear Hamiltonian systems. Zbl 1036.37020 Long, Yiming 6 2002 Existence of nontrival homoclinic orbits in a class of Hamiltonian systems \(\ddot u-L(t)u+W_u^\prime(t,u)=0\). Zbl 1014.37039 Li, Chengyue; Long, Yiming 2 2002 Criterion for \(\text{SL}(2,\mathbb{Z})\)-matrix to be conjugate to its inverse. Zbl 1022.20021 Long, Yiming 1 2002 Combined effects of singular and superlinear nonlinearities in some singular boundary value problems. Zbl 1109.35344 Sun, Yijing; Wu, Shaoping; Long, Yiming 127 2001 Precise iteration formulae of the Maslov-type index theory and ellipticity of closed characteristics. Zbl 0970.37013 Long, Yiming 75 2000 Maslov-type index theory for symplectic paths and spectral flow. II. Zbl 0959.58017 Long, Yiming; Zhu, Chaofeng 47 2000 Iteration inequalities of the Maslov-type index theory with applications. Zbl 0961.37017 Liu, Chungen; Long, Yiming 25 2000 Multiple periodic points of the Poincaré map of Lagrangian systems on tori. Zbl 0984.37074 Long, Yiming 22 2000 Geometric characterizations for variational minimization solutions of the 3-body problem. Zbl 0980.70009 Long, Yiming; Zhang, Shiqing 16 2000 Periodic solutions for a class of nonautonomous Hamiltonian systems. Zbl 0960.37028 Long, Yiming; Xu, Xiangjin 14 2000 Geometric characterization for variational minimization solutions of the 3-body problem with fixed energy. Zbl 0947.70009 Long, Yiming; Zhang, Shiqing 11 2000 Normal forms of symplectic matrices. Zbl 0959.15008 Long, Yiming; Dong, Di 9 2000 Dynamics on compact convex hypersurfaces in \(\mathbb{R}^{2n}\). Zbl 1193.37084 Long, Yiming 3 2000 Bott formula of the Maslov-type index theory. Zbl 0924.58024 Long, Yiming 92 1999 Maslov-type index theory for symplectic paths and spectral flow. I. Zbl 0959.58016 Zhu, Chaofeng; Long, Yiming 49 1999 Hyperbolic characteristics on star-shaped hypersurfaces. Zbl 0988.37078 Liu, Chungen; Long, Yiming 12 1999 Topological structures of \(\omega\)-subsets in symplectic groups. Zbl 0930.22001 Long, Yiming 8 1999 Geometric characterizations for variational minimization solutions of the 3-body problem. Zbl 1288.70007 Long, Yiming; Zhang, Shiqing 4 1999 Hyperbolic closed characteristics on compact convex smooth hypersurfaces in \(\mathbb{R}^{2n}\). Zbl 0915.58032 Long, Yiming 20 1998 Indexing domains of instability for Hamiltonian systems. Zbl 0915.58035 Long, Yiming; An, Tianqing 18 1998 Periodic solutions of second order nonlinear Hamiltonian systems with superquadratic potentials having zero mean value. Zbl 1062.37508 Chen, Guoling; Long, Yiming 10 1998 On the index theories for second order Hamiltonian systems. Zbl 0945.37018 An, Tianqing; Long, Yiming 10 1998 An optimal increasing estimate of the iterated Maslov-type indices. Zbl 1002.53055 Liu, Chungen; Long, Yiming 6 1998 A Maslov-type index theory for symplectic paths. Zbl 0977.53075 Long, Yiming 48 1997 The iteration formula of the Maslov-type index theory with applications to nonlinear Hamiltonian systems. Zbl 0870.58024 Dong, Di; Long, Yiming 45 1997 On the minimal period for the periodic solutions problem of nonlinear Hamiltonian systems. Zbl 0890.58069 Long, Yiming 22 1997 Nonlinear oscillations for classical Hamiltonian systems with bi-even subquadratic potentials. Zbl 0824.34042 Long, Yiming 56 1995 Geodesics in the compactly supported Hamiltonian diffeomorphism group. Zbl 0843.58022 Long, Yiming 3 1995 The minimal period problem of periodic solutions for autonomous superquadratic second order Hamiltonian systems. Zbl 0804.34043 Long, Yiming 38 1994 The minimal period problem of classical Hamiltonian systems with even potentials. Zbl 0804.58018 Long, Yiming 36 1993 A note on the existence of multiple brake orbits. Zbl 0811.70015 Ambrosetti, Antonio; Benci, Vieri; Long, Yiming 21 1993 Estimates on the minimal period for periodic solutions to autonomous superquadratic second-order Hamiltonian systems. Zbl 1011.34030 Long, Yiming 1 1992 An unbounded solution of a superlinear Duffing’s equation. Zbl 0741.34015 Long, Yiming 13 1991 The structure of the singular symplectic matrix set. Zbl 0746.15006 Long, Yiming 13 1991 Maslov-type index, degenerate critical points, and asymptotically linear Hamiltonian systems. Zbl 0736.58022 Long, Yiming 105 1990 Periodic solutions of perturbed superquadratic Hamiltonian systems. Zbl 0724.34052 Long, Yiming 13 1990 Periodic solutions of superquadratic Hamiltonian systems with bounded forcing terms. Zbl 0666.34045 Long, Yiming 11 1990 Forced oscillations for the triple pendulum. Zbl 0723.70025 Chang, Kung-Ching; Long, Yiming; Zehnder, Eduard 5 1990 Multiple solutions of perturbed superquadratic second order Hamiltonian systems. Zbl 0676.34026 Long, Yiming 53 1989 On the density of the range for some nonlinear operators. Zbl 0757.34034 Long, Yiming 1 1989 all cited Publications top 5 cited Publications all top 5 Cited by 646 Authors 60 Long, Yiming 33 Liu, Chungen 32 Hu, Xijun 30 Liu, Hui 26 Wang, Wei 24 Zhang, Duanzhi 22 Papageorgiou, Nikolaos S. 22 Zhang, Shiqing 20 Tang, Chun-Lei 18 Duan, Huagui 15 Portaluri, Alessandro 14 Xie, Zhifu 13 Ginzburg, Viktor L’vovich 13 Wu, Li 12 Shan, Yuan 11 Piccione, Paolo 11 Zhang, Xiaofei 10 Giannoni, Fabio 10 Macarini, Leonardo 10 Ou, Yuwei 10 Santos, Carlos Alberto P. 10 Zhu, Chaofeng 9 Giambò, Roberto 9 Guo, Fei 9 Gürel, Basak Zehra 9 Liao, Jiafeng 9 Yan, Duokui 8 Mazzucchelli, Marco 8 Sun, Shanzhong 8 Zhou, Qinglong 7 An, Tianqing 7 Llibre, Jaume 7 Lu, Guangcun 7 Wu, Xingping 6 Dong, Yujun 6 Fei, Guihua 6 Kang, Jungsoo 6 Lei, Chunyu 6 Li, Yong 6 Ouyang, Tiancheng 6 Rademacher, Hans-Bert 6 Rădulescu, Vicenţiu D. 6 Schechter, Martin 6 Wang, Qi 6 Wang, Xing 6 Yang, Minbo 6 Yang, Ran 6 Yang, Xue 5 Abreu, Miguel 5 Chen, Haibo 5 Cheng, Rong 5 Deng, Chunhua 5 Ding, Yanheng 5 Jiang, Meiyue 5 Li, Keqiang 5 Ou, Zengqi 5 Repovš, Dušan D. 5 Santoprete, Manuele 5 Wang, Penghui 5 Wang, Yiqian 5 Xiao, Yuming 5 Zhao, Peihao 5 Zhou, Jiazheng 4 Abbondandolo, Alberto 4 Agarwal, Ravi P. 4 Bartsch, Thomas J. 4 Barutello, Vivina L. 4 Boscaggin, Alberto 4 Chen, Guanwei 4 Deng, Yiyang 4 Fan, Zhiping 4 Faraci, Francesca 4 Han, Zhiqing 4 Hryniewicz, Umberto L. 4 Li, Chun 4 Liu, Bowen 4 Liu, Lei 4 Saoudi, Kamel 4 Sun, Yijing 4 Taĭmanov, Iskander Asanovich 4 Tang, Shanshan 4 Vetro, Calogero 4 Winkert, Patrick 4 Zhang, Li 4 Zhang, Meirong 4 Zhao, Furong 4 Zhou, Benxing 4 Zhou, Qing 4 Zhu, Gaosheng 4 Zou, Wenming 3 Asselle, Luca 3 Booss-Bavnbek, Bernhelm 3 Capietto, Anna 3 Chen, Siyu 3 Corbera, Montserrat 3 Damanik, David 3 Deng, Yanxia 3 Duong Trong Luyen 3 Gao, Wenjie 3 Gasiński, Leszek ...and 546 more Authors all top 5 Cited in 171 Serials 73 Journal of Differential Equations 66 Journal of Mathematical Analysis and Applications 55 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 28 Calculus of Variations and Partial Differential Equations 27 Acta Mathematica Sinica. English Series 23 Discrete and Continuous Dynamical Systems 15 Boundary Value Problems 15 Frontiers of Mathematics in China 14 Celestial Mechanics and Dynamical Astronomy 14 Science China. Mathematics 13 Advances in Mathematics 13 Journal of Functional Analysis 13 Mathematische Zeitschrift 12 Journal of Mathematical Physics 12 Journal of Fixed Point Theory and Applications 11 Archive for Rational Mechanics and Analysis 11 Advanced Nonlinear Studies 10 Applied Mathematics Letters 9 Nonlinearity 9 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 9 Qualitative Theory of Dynamical Systems 9 Nonlinear Analysis. Theory, Methods & Applications 8 Applicable Analysis 8 Journal of Geometry and Physics 7 Applied Mathematics and Computation 7 Duke Mathematical Journal 7 Science in China. Series A 7 Journal of Dynamics and Differential Equations 7 Abstract and Applied Analysis 7 Regular and Chaotic Dynamics 6 Communications in Mathematical Physics 6 Mathematical Methods in the Applied Sciences 6 Transactions of the American Mathematical Society 6 Advances in Difference Equations 6 Complex Variables and Elliptic Equations 5 Rocky Mountain Journal of Mathematics 5 Mathematische Annalen 5 Proceedings of the American Mathematical Society 5 Chinese Annals of Mathematics. Series B 5 International Journal of Mathematics 5 Topological Methods in Nonlinear Analysis 5 Communications on Pure and Applied Analysis 5 Electronic Research Archive 4 Acta Applicandae Mathematicae 4 Electronic Journal of Differential Equations (EJDE) 4 Journal of Inequalities and Applications 4 Communications in Contemporary Mathematics 4 Acta Mathematica Scientia. Series B. (English Edition) 4 Mediterranean Journal of Mathematics 3 Computers & Mathematics with Applications 3 Israel Journal of Mathematics 3 Archiv der Mathematik 3 Annals of Global Analysis and Geometry 3 Positivity 3 Nonlinear Analysis. Real World Applications 3 Portugaliae Mathematica. Nova Série 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Journal of Applied Analysis and Computation 3 Advances in Nonlinear Analysis 3 Journal of Function Spaces 2 Communications on Pure and Applied Mathematics 2 Physics Letters. A 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Anais da Academia Brasileira de Ciências 2 Compositio Mathematica 2 Journal of Optimization Theory and Applications 2 Mathematische Nachrichten 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Proceedings of the London Mathematical Society. Third Series 2 Ricerche di Matematica 2 Ergodic Theory and Dynamical Systems 2 Zeitschrift für Analysis und ihre Anwendungen 2 Physica D 2 Mathematical and Computer Modelling 2 Differential Geometry and its Applications 2 The Journal of Geometric Analysis 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Linear Algebra and its Applications 2 Chinese Science Bulletin 2 Georgian Mathematical Journal 2 Annals of Mathematics. Second Series 2 Journal of the European Mathematical Society (JEMS) 2 Annales Henri Poincaré 2 Algebraic & Geometric Topology 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Bulletin of the Brazilian Mathematical Society. New Series 2 SIAM Journal on Applied Dynamical Systems 2 Differential Equations and Applications 2 Analysis and Mathematical Physics 2 Open Mathematics 2 AIMS Mathematics 2 Frontiers of Mathematics 1 Houston Journal of Mathematics 1 Indian Journal of Pure & Applied Mathematics 1 Journal of the Franklin Institute 1 Lithuanian Mathematical Journal 1 Mathematical Notes 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Periodica Mathematica Hungarica 1 Physics Reports ...and 71 more Serials all top 5 Cited in 38 Fields 358 Dynamical systems and ergodic theory (37-XX) 269 Ordinary differential equations (34-XX) 224 Global analysis, analysis on manifolds (58-XX) 202 Mechanics of particles and systems (70-XX) 181 Differential geometry (53-XX) 176 Partial differential equations (35-XX) 63 Operator theory (47-XX) 26 Calculus of variations and optimal control; optimization (49-XX) 20 Convex and discrete geometry (52-XX) 13 Difference and functional equations (39-XX) 13 Manifolds and cell complexes (57-XX) 11 Algebraic topology (55-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Fluid mechanics (76-XX) 6 Quantum theory (81-XX) 4 Functional analysis (46-XX) 4 Mechanics of deformable solids (74-XX) 3 Geometry (51-XX) 3 Probability theory and stochastic processes (60-XX) 2 Number theory (11-XX) 2 \(K\)-theory (19-XX) 2 Topological groups, Lie groups (22-XX) 2 Real functions (26-XX) 2 Functions of a complex variable (30-XX) 2 Potential theory (31-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Abstract harmonic analysis (43-XX) 2 Numerical analysis (65-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Operations research, mathematical programming (90-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Algebraic geometry (14-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Relativity and gravitational theory (83-XX) 1 Systems theory; control (93-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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