Edit Profile (opens in new tab) Xu, Junxiang Co-Author Distance Author ID: xu.junxiang Published as: Xu, Junxiang; Xu, Jun Xiang External Links: ResearchGate · Math-Net.Ru Documents Indexed: 161 Publications since 1990 Co-Authors: 39 Co-Authors with 149 Joint Publications 1,296 Co-Co-Authors all top 5 Co-Authors 12 single-authored 47 Zhang, Fubao 27 Wang, Jun 25 Zhang, Dongfeng 18 Zhang, Hui 11 Shi, Yanling 11 You, Jiangong 10 Wang, Xiaocai 8 Xu, XinDong 8 Yang, Xiaomei 7 Ding, Jian 7 Lu, Xuezhu 6 Cao, Xiaofei 6 Ma, Zhichao 6 Tian, Lixin 5 Li, Qi 5 Zhu, Min 4 Jiang, Shunjun 4 Li, Jia 3 Cheng, Rong 3 Kong, Yuedong 3 Qiu, Qingjiu 3 Wu, Hao 2 Wang, Kun 2 Wang, Lei 1 Bi, Qiaoyan 1 Chen, Xumei 1 Cheng, Chunrui 1 Du, Miao 1 Geng, Jiansheng 1 Liang, Jianli 1 Lu, Dianchen 1 Ni, Song 1 Qu, Ru 1 Wang, Shaoping 1 Xu, Shoujun 1 Yang, Renzi 1 Zhang, Li 1 Zheng, Qin 1 Zou, Hanru all top 5 Serials 11 Journal of Mathematical Analysis and Applications 10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 9 Discrete and Continuous Dynamical Systems 9 Qualitative Theory of Dynamical Systems 7 Journal of Mathematical Physics 7 Mathematical Methods in the Applied Sciences 7 Journal of Differential Equations 6 Proceedings of the American Mathematical Society 6 NoDEA. Nonlinear Differential Equations and Applications 5 Ergodic Theory and Dynamical Systems 5 Acta Applicandae Mathematicae 5 Journal of Dynamics and Differential Equations 5 Discrete and Continuous Dynamical Systems. Series B 4 Electronic Journal of Differential Equations (EJDE) 4 Electronic Journal of Qualitative Theory of Differential Equations 4 Regular and Chaotic Dynamics 3 Applicable Analysis 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Science in China. Series A 3 Abstract and Applied Analysis 3 Advanced Nonlinear Studies 3 Scientia Sinica. Mathematica 2 Nonlinearity 2 Mathematische Zeitschrift 2 Topological Methods in Nonlinear Analysis 2 Calculus of Variations and Partial Differential Equations 2 Acta Mathematica Sinica. English Series 2 Communications on Pure and Applied Analysis 2 Boundary Value Problems 1 Computers & Mathematics with Applications 1 Communications in Mathematical Physics 1 Rocky Mountain Journal of Mathematics 1 Journal of Geometry and Physics 1 Applied Mathematics and Computation 1 Mathematische Nachrichten 1 Mathematika 1 Journal of Nanjing University. Natural Sciences 1 Chinese Annals of Mathematics. Series A 1 Journal of Nanjing University. Mathematical Biquarterly 1 Applied Mathematics Letters 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Mathematical Analysis 1 Applied Mathematics 1 Differential Equations and Dynamical Systems 1 Far East Journal of Applied Mathematics 1 Annales Henri Poincaré 1 Dynamical Systems 1 Central European Journal of Mathematics 1 Analysis in Theory and Applications 1 Frontiers of Mathematics in China 1 Acta Mathematica Sinica. Chinese Series 1 Science China. Mathematics 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM all top 5 Fields 98 Dynamical systems and ergodic theory (37-XX) 59 Partial differential equations (35-XX) 45 Ordinary differential equations (34-XX) 39 Mechanics of particles and systems (70-XX) 12 Global analysis, analysis on manifolds (58-XX) 10 Operator theory (47-XX) 3 Real functions (26-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Quantum theory (81-XX) 1 Differential geometry (53-XX) 1 Algebraic topology (55-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 131 Publications have been cited 1,442 times in 868 Documents Cited by ▼ Year ▼ Multiplicity and concentration of positive solutions for a Kirchhoff type problem with critical growth. Zbl 1402.35119 Wang, Jun; Tian, Lixin; Xu, Junxiang; Zhang, Fubao 288 2012 Invariant tori for nearly integrable Hamiltonian systems with degeneracy. Zbl 0899.34030 Xu, Junxiang; You, Jiangong; Qiu, Qingjiu 97 1997 Existence and concentration of positive solutions for semilinear Schrödinger-Poisson systems in \({\mathbb{R}^{3}}\). Zbl 1278.35074 Wang, Jun; Tian, Lixin; Xu, Junxiang; Zhang, Fubao 70 2013 Persistence of lower-dimensional tori under the first Melnikov’s non-resonance condition. Zbl 1031.37053 Xu, Junxiang; You, Jiangong 44 2001 On the persistence of degenerate lower-dimensional tori in reversible systems. Zbl 1351.37231 Wang, Xiaocai; Xu, Junxiang; Zhang, Dongfeng 31 2015 Existence and multiplicity of homoclinic orbits for the second order Hamiltonian systems. Zbl 1204.37067 Wang, Jun; Zhang, Fubao; Xu, Junxiang 28 2010 Normal form of reversible systems and persistence of lower dimensional tori under weaker nonresonance conditions. Zbl 1075.37020 Xu, Junxiang 27 2004 Existence and multiplicity of solutions for superlinear fractional Schrödinger equations in \(\mathbb{R}^{N}\). Zbl 1328.35225 Zhang, Hui; Xu, Junxiang; Zhang, Fubao 25 2015 Reducibility for a class of nonlinear quasi-periodic differential equations with degenerate equilibrium point under small perturbation. Zbl 1218.34050 Xu, Junxiang; Jiang, Shunjun 25 2011 Homoclinic orbits for a class of Hamiltonian systems with superquadratic or asymptotically quadratic potentials. Zbl 1231.37033 Wang, Jun; Xu, Junxiang; Zhang, Fubao 23 2011 Degenerate lower dimensional tori in reversible systems. Zbl 1260.37029 Wang, Xiaocai; Xu, Junxiang; Zhang, Dongfeng 20 2012 On the wave-breaking phenomena for the periodic two-component Dullin-Gottwald-Holm system. Zbl 1298.35121 Zhu, Min; Xu, Junxiang 19 2012 On the reducibility of a class of linear differential equations with quasiperiodic coefficients. Zbl 1043.34036 Xu, Junxiang 19 1999 On small perturbation of two-dimensional quasi-periodic systems with hyperbolic-type degenerate equilibrium point. Zbl 1217.34076 Xu, Junxiang 19 2011 Persistence of lower dimensional elliptic invariant tori for a class of nearly integrable reversible systems. Zbl 1202.37080 Wang, Xiaocai; Xu, Junxiang; Zhang, Dongfeng 19 2010 Gevrey-smoothness of invariant tori for analytic reversible systems under Rüssmann’s non-degeneracy condition. Zbl 1175.37065 Wang, Xiaocai; Xu, Junxiang 18 2009 A KAM theorem of degenerate infinite dimensional Hamiltonian systems. II. Zbl 0855.58030 Xu, Junxiang; Qiu, Qingjiu; You, Jiangong 18 1996 Existence of multiple positive solutions for Schrödinger-Poisson systems with critical growth. Zbl 1329.35144 Wang, Jun; Tian, Lixin; Xu, Junxiang; Zhang, Fubao 17 2015 Persistence of the non-twist torus in nearly integrable Hamiltonian systems. Zbl 1202.37079 Xu, Junxiang; You, Jiangong 17 2010 Existence of multi-bump solutions for a semilinear Schrödinger-Poisson system. Zbl 1301.35159 Wang, Jun; Xu, Junxiang; Zhang, Fubao; Chen, Xumei 16 2013 On quasi-periodic perturbations of hyperbolic-type degenerate equilibrium point of a class of planar systems. Zbl 1278.34045 Xu, Junxiang 16 2013 On the reducibility of linear differential equations with quasiperiodic coefficients which are degenerate. Zbl 0897.34011 Xu, Junxiang; Zheng, Qin 16 1998 Gevrey-smoothness of invariant tori for analytic nearly integrable Hamiltonian systems under Rüssmann’s non-degeneracy condition. Zbl 1112.37045 Xu, Junxiang; You, Jiangong 16 2007 On elliptic lower dimensional tori for Gevrey-smooth Hamiltonian systems under Rüssmann’s non-degeneracy condition. Zbl 1112.37046 Zhang, Dongfeng; Xu, Junxiang 15 2006 On the reducibility of two-dimensional linear quasi-periodic systems with small parameter. Zbl 1352.37070 Xu, Junxiang; Lu, Xuezhu 14 2015 On the reducibility of a class of nonlinear quasi-periodic system with small perturbation parameter near zero equilibrium point. Zbl 1151.34030 Wang, Xiaocai; Xu, Junxiang 14 2008 A KAM theorem of degenerate infinite dimensional Hamiltonian systems. I. Zbl 0855.58029 Xu, Junxiang; Qiu, Qingjiu; You, Jiangong 14 1996 Existence and multiplicity of solutions for a generalized Choquard equation. Zbl 1375.35134 Zhang, Hui; Xu, Junxiang; Zhang, Fubao 14 2017 Gevrey-smoothness of elliptic lower-dimensional invariant tori in Hamiltonian systems under Rüssmann’s non-degeneracy condition. Zbl 1102.37040 Zhang, Dongfeng; Xu, Junxiang 13 2006 Persistence of lower dimensional tori for a class of nearly integrable reversible systems. Zbl 1223.37075 Wang, Xiaocai; Zhang, Dongfeng; Xu, Junxiang 12 2011 On a class of semilinear Schrödinger equations with indefinite linear part. Zbl 1312.35105 Zhang, Hui; Xu, Junxiang; Zhang, Fubao 12 2014 On quasi-periodic solutions for a generalized Boussinesq equation. Zbl 1339.37078 Shi, Yanling; Xu, Junxiang; Xu, Xindong 12 2014 On the reducibility of 2-dimensional linear quasi-periodic systems with small parameters. Zbl 1350.34039 Xu, Junxiang; Kun, Wang; Min, Zhu 11 2016 Positive ground states for asymptotically periodic Schrödinger-Poisson systems. Zbl 1271.35022 Zhang, Hui; Xu, Junxiang; Zhang, Fubao 11 2013 Existence of solutions for nonperiodic superquadratic Hamiltonian elliptic systems. Zbl 1183.35115 Wang, Jun; Xu, Junxiang; Zhang, Fubao 11 2010 Persistence of hyperbolic-type degenerate lower-dimensional invariant tori with prescribed frequencies in Hamiltonian systems. Zbl 1481.37067 Xu, Junxiang; You, Jiangong 11 2020 On reducibility of linear differential equations with almost-periodic coefficients. Zbl 0922.34040 Xu, Junxiang; You, Jiangong 10 1996 Invariant curves of analytic reversible mappings under Brjuno-Rüssmann’s non-resonant condition. Zbl 1320.47009 Zhang, Dongfeng; Xu, Junxiang 10 2014 Reducibility of three dimensional skew symmetric system with Liouvillean basic frequencies. Zbl 1430.34052 Zhang, Dongfeng; Xu, Junxiang; Xu, Xindong 10 2018 On invariant tori of vector field under weaker non-degeneracy condition. Zbl 1358.37101 Zhang, Dongfeng; Xu, Junxiang 9 2015 Homoclinic orbits for superlinear Hamiltonian systems without Ambrosetti-Rabinowitz growth condition. Zbl 1203.37103 Wang, Jun; Xu, Junxiang; Zhang, Fubao 9 2010 Ground state solutions for asymptotically periodic Schrödinger equations with indefinite linear part. Zbl 1317.35024 Zhang, Hui; Xu, Junxiang; Zhang, Fubao 9 2015 General KAM theorems and their applications to invariant tori with prescribed frequencies. Zbl 1344.37070 Xu, Junxiang; Lu, Xuezhu 9 2016 On the reducibility of linear quasi-periodic systems with Liouvillean basic frequencies and multiple eigenvalues. Zbl 1475.70016 Zhang, Dongfeng; Xu, Junxiang; Wu, Hao; Xu, Xindong 9 2020 On the persistence of lower-dimensional elliptic tori with prescribed frequencies in reversible systems. Zbl 1333.37091 Wang, Xiaocai; Xu, Junxiang; Zhang, Dongfeng 8 2016 Existence and multiplicity of solutions for asymptotically Hamiltonian elliptic systems in \(\mathbb R^N\). Zbl 1187.35055 Wang, Jun; Xu, Junxiang; Zhang, Fubao 8 2010 Reducibility of a class of nonlinear quasi-periodic systems with Liouvillean basic frequencies. Zbl 1469.37048 Zhang, Dongfeng; Xu, Junxiang 8 2021 Multiplicity of semiclassical states for Schrödinger-Poisson systems with critical frequency. Zbl 1433.35065 Zhang, Hui; Xu, Junxiang; Zhang, Fubao 8 2020 A note on the extension of the Dinaburg-Sinai theorem to higher dimension. Zbl 1087.34023 Liang, Jianli; Xu, Junxiang 8 2005 Multiple positive solutions for Kirchhoff type problems involving concave and convex nonlinearities in \(\mathbb R^3\). Zbl 1353.35005 Cao, Xiaofei; Xu, Junxiang; Wang, Jun 7 2016 Persistence of lower dimensional degenerate invariant tori with prescribed frequencies in Hamiltonian systems with small parameter. Zbl 1512.37072 Xu, Junxiang 7 2021 Persistence of elliptic lower dimensional invariant tori for small perturbation of degenerate integrable Hamiltonian systems. Zbl 0889.58045 Xu, Junxiang 7 1997 Bound and ground states for a concave-convex generalized Choquard equation. Zbl 1515.35017 Zhang, Hui; Xu, Junxiang; Zhang, Fubao 7 2017 Ground states for asymptotically periodic Schrödinger-Poisson systems with critical growth. Zbl 1300.35033 Zhang, Hui; Xu, Junxiang; Zhang, Fubao; Du, Miao 7 2014 On small perturbations of a nonlinear periodic system with degenerate equilibrium. Zbl 1315.37038 Lu, Xuezhu; Xu, Junxiang 7 2014 Infinitely many solutions for diffusion equations without symmetry. Zbl 1231.35095 Wang, Jun; Xu, Junxiang; Zhang, Fubao 7 2011 Existence of semiclassical ground-state solutions for semilinear elliptic systems. Zbl 1329.35141 Wang, Jun; Xu, Junxiang; Zhang, Fubao 7 2012 On invariant tori with prescribed frequency in Hamiltonian systems. Zbl 1364.70034 Zhang, Dongfeng; Xu, Junxiang; Wu, Hao 6 2016 Persistence of invariant torus in Hamiltonian systems with two-degree of freedom. Zbl 1134.37025 Zhang, Li; Xu, Junxiang 6 2008 On the Cauchy problem for the two-component \(b\)-family system. Zbl 1277.35136 Zhu, Min; Xu, Junxiang 6 2013 Quasi-periodic solutions of generalized Boussinesq equation with quasi-periodic forcing. Zbl 1366.37138 Shi, Yanling; Xu, Junxiang; Xu, Xindong 6 2017 Existence of infinitely many homoclinic orbits for nonperiodic superquadratic Hamiltonian systems. Zbl 1248.34055 Wang, Jun; Zhang, Hui; Xu, Junxiang; Zhang, Fubao 6 2012 Existence and nonexistence of the ground state solutions for nonlinear Schrödinger equations with nonperiodic nonlinearities. Zbl 1256.35143 Wang, Jun; Tian, Lixin; Xu, Junxiang; Zhang, Fubao 6 2012 Erratum to: Existence and concentration of positive solutions for semilinear Schrödinger-Poisson systems in \({\mathbb{R}^{3}}\). Zbl 1278.35073 Wang, Jun; Tian, Lixin; Xu, Junxiang; Zhang, Fubao 6 2013 Existence of positive ground states for some nonlinear Schrödinger systems. Zbl 1282.35363 Zhang, Hui; Xu, Junxiang; Zhang, Fubao 6 2013 On the quasi-periodic solutions for generalized Boussinesq equation with higher order nonlinearity. Zbl 1331.35176 Shi, Yanling; Xu, Junxiang; Xu, Xindong; Jiang, Shunjun 5 2015 On the reducibility for a class of quasi-periodic Hamiltonian systems with small perturbation parameter. Zbl 1222.37049 Li, Jia; Xu, Junxiang 5 2011 Persistence of lower dimensional hyperbolic tori for reversible system. Zbl 1334.37068 Kong, Yuedong; Xu, Junxiang 5 2014 Corrigendum for the paper “Invariant tori for nearly integrable Hamiltonian systems with degeneracy”. Zbl 1129.34314 Xu, Junxiang; You, Jiangong 5 2007 Periodic solutions for a class of non-autonomous differential delay equations. Zbl 1186.34091 Cheng, Rong; Xu, Junxiang 5 2009 A KAM theorem for a class of nearly integrable symplectic mappings. Zbl 1370.37117 Lu, Xuezhu; Li, Jia; Xu, Junxiang 5 2017 The existence of solutions with prescribed \(L^{2}\)-norm for Kirchhoff type system. Zbl 1371.35056 Cao, Xiaofei; Xu, Junxiang; Wang, Jun 5 2017 Persistence of lower dimensional hyperbolic invariant tori for nearly integrable symplectic mappings. Zbl 1339.37044 Bi, Qiaoyan; Xu, Junxiang 5 2014 Infinitely many homoclinic orbits for superlinear Hamiltonian systems. Zbl 1261.37026 Wang, Jun; Xu, Junxiang; Zhang, Fubao 5 2012 On the effective reducibility of a class of quasi-periodic Hamiltonian systems. Zbl 1332.34077 Li, Jia; Xu, Junxiang 4 2015 A new KAM theorem for the hyperbolic lower dimensional tori in reversible systems. Zbl 1338.37075 Wang, Xiaocai; Xu, Junxiang; Zhang, Dongfeng 4 2016 Existence of positive and sign-changing solutions to a coupled elliptic system with mixed nonlinearity growth. Zbl 1448.35210 Wang, Jun; Xu, Junxiang 4 2020 Existence and concentration of positive ground state solutions for Schrödinger-Poisson systems. Zbl 1295.35219 Wang, Jun; Tian, Lixin; Xu, Junxiang; Zhang, Fubao 4 2013 Homoclinic orbits for an unbounded superquadratic Hamiltonian systems. (Homoclinic orbits for an unbounded superquadratic.) Zbl 1202.58015 Wang, Jun; Xu, Junxiang; Zhang, Fubao; Wang, Lei 4 2010 Multiple solutions for Kirchhoff type problems involving super-linear and sub-linear terms. Zbl 1363.35116 Cao, Xiaofei; Xu, Junxiang 3 2016 Response solutions of 3-dimensional degenerate quasi-periodic systems with small parameter. Zbl 1476.37077 Xu, Junxiang; Li, Qi; Wang, Jun 3 2021 On quasi-periodic solutions for generalized Boussinesq equation with quadratic nonlinearity. Zbl 1308.76041 Shi, Yanling; Xu, Junxiang; Xu, Xindong 3 2015 Multiple positive solutions for semilinear Schrödinger equations with critical growth in \(\mathbb{R}^{N}\). Zbl 1318.35111 Wang, Jun; Lu, Dianchen; Xu, Junxiang; Zhang, Fubao 3 2015 Quasi-periodic solutions for Schrödinger equation with derivative nonlinearity \((|u|^{2p}u)_x\). Zbl 1314.37055 Shi, Yanling; Lu, Xuezhu; Xu, Junxiang; Xu, Xindong 3 2015 A KAM theorem for quasi-periodic non-twist mappings and its application. Zbl 1498.37099 Ma, Zhichao; Xu, Junxiang 3 2022 A KAM theorem for the elliptic lower dimensional tori with one normal frequency in reversible systems. Zbl 1364.37131 Zhang, Dongfeng; Xu, Junxiang; Wang, Xiaocai 3 2017 Ground state solutions for asymptotically periodic Schrödinger equations with critical growth. Zbl 1291.35040 Zhang, Hui; Xu, Junxiang; Zhang, Fubao 3 2013 Persistence of multi-dimensional degenerate hyperbolic lower dimensional invariant tori in reversible systems. Zbl 1511.37069 Yang, Xiaomei; Xu, Junxiang 3 2023 Persistence of degenerate lower dimensional invariant tori in reversible systems with Bruno non-degeneracy conditions. Zbl 1459.37053 Yang, Xiaomei; Xu, Junxiang 3 2021 Invariant tori with prescribed frequency for nearly integrable Hamiltonian systems. Zbl 1345.70027 Lu, Xuezhu; Xu, Junxiang 3 2014 Wave-breaking phenomena and global solutions for periodic two-component Dullin-Gottwald-Holm systems. Zbl 1288.35125 Zhu, Min; Xu, Junxiang 3 2013 Invariant tori for Gevrey-smooth Hamiltonian systems under Rüssmann’s nondegeneracy condition. Zbl 1121.37046 Zhang, Dongfeng; Xu, Junxiang 3 2007 Persistence of Floquet invariant tori for a class of non-conservative dynamical systems. Zbl 1189.37066 Xu, Junxiang 3 2007 A symplectic map and its application to the persistence of lower dimensional invariant tori. Zbl 1099.37045 Xu, Junxiang; You, Jiangong 2 2002 Response solutions for completely degenerate oscillators under arbitrary quasi-periodic perturbations. Zbl 1540.37088 Ma, Zhichao; Xu, Junxiang 2 2023 Ground states for Schrödinger-Poisson systems with three growth terms. Zbl 1315.35088 Zhang, Hui; Zhang, Fubao; Xu, Junxiang 2 2014 Solutions of non-periodic super-quadratic Dirac equations. Zbl 1186.35171 Ding, Jian; Xu, Junxiang; Zhang, Fubao 2 2010 Even homoclinic orbits for super quadratic Hamiltonian systems. Zbl 1201.37096 Ding, Jian; Xu, Junxiang; Zhang, Fubao 2 2010 Positive ground states of coupled nonlinear Schrödinger equations on \(\mathbb{R}^n\). Zbl 1488.35511 Zhang, Hui; Xu, Junxiang; Zhang, Fubao 2 2013 Multiple positive solutions for Schrödinger problems with concave and convex nonlinearities. Zbl 1413.35002 Cao, Xiaofei; Xu, Junxiang 2 2018 Response solutions of a class of degenerate quasi-periodic systems with a small parameter. Zbl 1532.37056 Yang, Xiaomei; Xu, Junxiang 1 2024 Persistence of multi-dimensional degenerate hyperbolic lower dimensional invariant tori in reversible systems. Zbl 1511.37069 Yang, Xiaomei; Xu, Junxiang 3 2023 Response solutions for completely degenerate oscillators under arbitrary quasi-periodic perturbations. Zbl 1540.37088 Ma, Zhichao; Xu, Junxiang 2 2023 Response solutions of 2-dimensional degenerate systems under quasi-periodic perturbations. Zbl 1539.34046 Ma, Zhichao; Qu, Ru; Xu, Junxiang 2 2023 Persistence of degenerate lower dimensional invariant tori with prescribed frequencies in reversible systems. Zbl 1533.37127 Yang, Xiaomei; Xu, Junxiang; Jiang, Shunjun 2 2023 A Moser’s non-twist theorem for nearly integrable mappings with self-intersection property. Zbl 1533.37125 Ma, Zhichao; Xu, Junxiang 1 2023 A KAM theorem for quasi-periodic non-twist mappings and its application. Zbl 1498.37099 Ma, Zhichao; Xu, Junxiang 3 2022 Lagrange stability for asymptotic linear Duffing equations. Zbl 1507.34058 Ma, Zhichao; Xu, Junxiang 2 2022 On the reducibility of analytic quasi-periodic systems with Liouvillean basic frequencies. Zbl 1513.70066 Zhang, Dongfeng; Xu, Junxiang 2 2022 Reducibility of a class of nonlinear quasi-periodic systems with Liouvillean basic frequencies. Zbl 1469.37048 Zhang, Dongfeng; Xu, Junxiang 8 2021 Persistence of lower dimensional degenerate invariant tori with prescribed frequencies in Hamiltonian systems with small parameter. Zbl 1512.37072 Xu, Junxiang 7 2021 Response solutions of 3-dimensional degenerate quasi-periodic systems with small parameter. Zbl 1476.37077 Xu, Junxiang; Li, Qi; Wang, Jun 3 2021 Persistence of degenerate lower dimensional invariant tori in reversible systems with Bruno non-degeneracy conditions. Zbl 1459.37053 Yang, Xiaomei; Xu, Junxiang 3 2021 Quasi-periodic solutions for two dimensional modified Boussinesq equation. Zbl 1467.37069 Shi, Yanling; Xu, Junxiang 2 2021 On the reducibility of a class of almost periodic Hamiltonian systems. Zbl 1477.37067 Li, Jia; Xu, Junxiang 2 2021 Multiplicity of concentrating positive solutions for nonlinear Kirchhoff type problems with critical growth. Zbl 1478.35122 Zhang, Hui; Zhang, Fubao; Xu, Junxiang 2 2021 A \(C^{1+\alpha}\) mechanical counterexample to Moser’s twist theorem. Zbl 1477.70029 Ma, Zhichao; Xu, Junxiang 2 2021 Multiple solutions of Choquard equations in \(\mathbb{R}^2\) with critical exponential growth via penalization method. Zbl 1473.35248 Zhang, Hui; Xu, Junxiang 1 2021 Persistence of hyperbolic-type degenerate lower-dimensional invariant tori with prescribed frequencies in Hamiltonian systems. Zbl 1481.37067 Xu, Junxiang; You, Jiangong 11 2020 On the reducibility of linear quasi-periodic systems with Liouvillean basic frequencies and multiple eigenvalues. Zbl 1475.70016 Zhang, Dongfeng; Xu, Junxiang; Wu, Hao; Xu, Xindong 9 2020 Multiplicity of semiclassical states for Schrödinger-Poisson systems with critical frequency. Zbl 1433.35065 Zhang, Hui; Xu, Junxiang; Zhang, Fubao 8 2020 Existence of positive and sign-changing solutions to a coupled elliptic system with mixed nonlinearity growth. Zbl 1448.35210 Wang, Jun; Xu, Junxiang 4 2020 Existence of invariant curves for area-preserving mappings under weaker non-degeneracy conditions. Zbl 1446.37058 Wang, Kun; Xu, Junxiang 2 2020 Quasi-periodic solutions for a class of beam equation system. Zbl 1427.37056 Shi, Yanling; Xu, Junxiang 1 2020 Quasi-periodic solutions for a class of higher dimensional beam equation with quasi-periodic forcing. Zbl 1411.37062 Shi, Yanling; Xu, Junxiang; Xu, Xindong 2 2019 Reducibility of three dimensional skew symmetric system with Liouvillean basic frequencies. Zbl 1430.34052 Zhang, Dongfeng; Xu, Junxiang; Xu, Xindong 10 2018 Multiple positive solutions for Schrödinger problems with concave and convex nonlinearities. Zbl 1413.35002 Cao, Xiaofei; Xu, Junxiang 2 2018 Normalized solutions for a coupled Schrödinger system with saturable nonlinearities. Zbl 1382.35262 Cao, Xiaofei; Xu, Junxiang; Wang, Jun; Zhang, Fubao 2 2018 A new KAM iteration with nearly infinitely small steps in reversible systems of polynomial character. Zbl 1392.37048 Zhang, Dongfeng; Xu, Junxiang; Wang, Xiaocai 2 2018 Existence and multiplicity of solutions for a generalized Choquard equation. Zbl 1375.35134 Zhang, Hui; Xu, Junxiang; Zhang, Fubao 14 2017 Bound and ground states for a concave-convex generalized Choquard equation. Zbl 1515.35017 Zhang, Hui; Xu, Junxiang; Zhang, Fubao 7 2017 Quasi-periodic solutions of generalized Boussinesq equation with quasi-periodic forcing. Zbl 1366.37138 Shi, Yanling; Xu, Junxiang; Xu, Xindong 6 2017 A KAM theorem for a class of nearly integrable symplectic mappings. Zbl 1370.37117 Lu, Xuezhu; Li, Jia; Xu, Junxiang 5 2017 The existence of solutions with prescribed \(L^{2}\)-norm for Kirchhoff type system. Zbl 1371.35056 Cao, Xiaofei; Xu, Junxiang; Wang, Jun 5 2017 A KAM theorem for the elliptic lower dimensional tori with one normal frequency in reversible systems. Zbl 1364.37131 Zhang, Dongfeng; Xu, Junxiang; Wang, Xiaocai 3 2017 Semiclassical ground states for a class of nonlinear Kirchhoff-type problems. Zbl 1379.35127 Zhang, Hui; Xu, Junxiang; Zhang, Fubao 2 2017 KAM theory in finite and infinite dimensional spaces. Zbl 1499.37118 You, Jiangong; Geng, Jiansheng; Xu, Junxiang 1 2017 On the reducibility of 2-dimensional linear quasi-periodic systems with small parameters. Zbl 1350.34039 Xu, Junxiang; Kun, Wang; Min, Zhu 11 2016 General KAM theorems and their applications to invariant tori with prescribed frequencies. Zbl 1344.37070 Xu, Junxiang; Lu, Xuezhu 9 2016 On the persistence of lower-dimensional elliptic tori with prescribed frequencies in reversible systems. Zbl 1333.37091 Wang, Xiaocai; Xu, Junxiang; Zhang, Dongfeng 8 2016 Multiple positive solutions for Kirchhoff type problems involving concave and convex nonlinearities in \(\mathbb R^3\). Zbl 1353.35005 Cao, Xiaofei; Xu, Junxiang; Wang, Jun 7 2016 On invariant tori with prescribed frequency in Hamiltonian systems. Zbl 1364.70034 Zhang, Dongfeng; Xu, Junxiang; Wu, Hao 6 2016 A new KAM theorem for the hyperbolic lower dimensional tori in reversible systems. Zbl 1338.37075 Wang, Xiaocai; Xu, Junxiang; Zhang, Dongfeng 4 2016 Multiple solutions for Kirchhoff type problems involving super-linear and sub-linear terms. Zbl 1363.35116 Cao, Xiaofei; Xu, Junxiang 3 2016 Existence and nonexistence of ground states for a class of quasilinear Schrödinger equations. Zbl 1357.35109 Zhang, Hui; Zhang, Fubao; Xu, Junxiang 1 2016 On the persistence of degenerate lower-dimensional tori in reversible systems. Zbl 1351.37231 Wang, Xiaocai; Xu, Junxiang; Zhang, Dongfeng 31 2015 Existence and multiplicity of solutions for superlinear fractional Schrödinger equations in \(\mathbb{R}^{N}\). Zbl 1328.35225 Zhang, Hui; Xu, Junxiang; Zhang, Fubao 25 2015 Existence of multiple positive solutions for Schrödinger-Poisson systems with critical growth. Zbl 1329.35144 Wang, Jun; Tian, Lixin; Xu, Junxiang; Zhang, Fubao 17 2015 On the reducibility of two-dimensional linear quasi-periodic systems with small parameter. Zbl 1352.37070 Xu, Junxiang; Lu, Xuezhu 14 2015 On invariant tori of vector field under weaker non-degeneracy condition. Zbl 1358.37101 Zhang, Dongfeng; Xu, Junxiang 9 2015 Ground state solutions for asymptotically periodic Schrödinger equations with indefinite linear part. Zbl 1317.35024 Zhang, Hui; Xu, Junxiang; Zhang, Fubao 9 2015 On the quasi-periodic solutions for generalized Boussinesq equation with higher order nonlinearity. Zbl 1331.35176 Shi, Yanling; Xu, Junxiang; Xu, Xindong; Jiang, Shunjun 5 2015 On the effective reducibility of a class of quasi-periodic Hamiltonian systems. Zbl 1332.34077 Li, Jia; Xu, Junxiang 4 2015 On quasi-periodic solutions for generalized Boussinesq equation with quadratic nonlinearity. Zbl 1308.76041 Shi, Yanling; Xu, Junxiang; Xu, Xindong 3 2015 Multiple positive solutions for semilinear Schrödinger equations with critical growth in \(\mathbb{R}^{N}\). Zbl 1318.35111 Wang, Jun; Lu, Dianchen; Xu, Junxiang; Zhang, Fubao 3 2015 Quasi-periodic solutions for Schrödinger equation with derivative nonlinearity \((|u|^{2p}u)_x\). Zbl 1314.37055 Shi, Yanling; Lu, Xuezhu; Xu, Junxiang; Xu, Xindong 3 2015 KAM tori for defocusing modified KDV equation. Zbl 1375.37164 Shi, Yanling; Xu, Junxiang 2 2015 On a class of semilinear Schrödinger equations with indefinite linear part. Zbl 1312.35105 Zhang, Hui; Xu, Junxiang; Zhang, Fubao 12 2014 On quasi-periodic solutions for a generalized Boussinesq equation. Zbl 1339.37078 Shi, Yanling; Xu, Junxiang; Xu, Xindong 12 2014 Invariant curves of analytic reversible mappings under Brjuno-Rüssmann’s non-resonant condition. Zbl 1320.47009 Zhang, Dongfeng; Xu, Junxiang 10 2014 Ground states for asymptotically periodic Schrödinger-Poisson systems with critical growth. Zbl 1300.35033 Zhang, Hui; Xu, Junxiang; Zhang, Fubao; Du, Miao 7 2014 On small perturbations of a nonlinear periodic system with degenerate equilibrium. Zbl 1315.37038 Lu, Xuezhu; Xu, Junxiang 7 2014 Persistence of lower dimensional hyperbolic tori for reversible system. Zbl 1334.37068 Kong, Yuedong; Xu, Junxiang 5 2014 Persistence of lower dimensional hyperbolic invariant tori for nearly integrable symplectic mappings. Zbl 1339.37044 Bi, Qiaoyan; Xu, Junxiang 5 2014 Invariant tori with prescribed frequency for nearly integrable Hamiltonian systems. Zbl 1345.70027 Lu, Xuezhu; Xu, Junxiang 3 2014 Ground states for Schrödinger-Poisson systems with three growth terms. Zbl 1315.35088 Zhang, Hui; Zhang, Fubao; Xu, Junxiang 2 2014 Existence and concentration of positive solutions for semilinear Schrödinger-Poisson systems in \({\mathbb{R}^{3}}\). Zbl 1278.35074 Wang, Jun; Tian, Lixin; Xu, Junxiang; Zhang, Fubao 70 2013 Existence of multi-bump solutions for a semilinear Schrödinger-Poisson system. Zbl 1301.35159 Wang, Jun; Xu, Junxiang; Zhang, Fubao; Chen, Xumei 16 2013 On quasi-periodic perturbations of hyperbolic-type degenerate equilibrium point of a class of planar systems. Zbl 1278.34045 Xu, Junxiang 16 2013 Positive ground states for asymptotically periodic Schrödinger-Poisson systems. Zbl 1271.35022 Zhang, Hui; Xu, Junxiang; Zhang, Fubao 11 2013 On the Cauchy problem for the two-component \(b\)-family system. Zbl 1277.35136 Zhu, Min; Xu, Junxiang 6 2013 Erratum to: Existence and concentration of positive solutions for semilinear Schrödinger-Poisson systems in \({\mathbb{R}^{3}}\). Zbl 1278.35073 Wang, Jun; Tian, Lixin; Xu, Junxiang; Zhang, Fubao 6 2013 Existence of positive ground states for some nonlinear Schrödinger systems. Zbl 1282.35363 Zhang, Hui; Xu, Junxiang; Zhang, Fubao 6 2013 Existence and concentration of positive ground state solutions for Schrödinger-Poisson systems. Zbl 1295.35219 Wang, Jun; Tian, Lixin; Xu, Junxiang; Zhang, Fubao 4 2013 Ground state solutions for asymptotically periodic Schrödinger equations with critical growth. Zbl 1291.35040 Zhang, Hui; Xu, Junxiang; Zhang, Fubao 3 2013 Wave-breaking phenomena and global solutions for periodic two-component Dullin-Gottwald-Holm systems. Zbl 1288.35125 Zhu, Min; Xu, Junxiang 3 2013 Positive ground states of coupled nonlinear Schrödinger equations on \(\mathbb{R}^n\). Zbl 1488.35511 Zhang, Hui; Xu, Junxiang; Zhang, Fubao 2 2013 Multiplicity and concentration of positive solutions for a Kirchhoff type problem with critical growth. Zbl 1402.35119 Wang, Jun; Tian, Lixin; Xu, Junxiang; Zhang, Fubao 288 2012 Degenerate lower dimensional tori in reversible systems. Zbl 1260.37029 Wang, Xiaocai; Xu, Junxiang; Zhang, Dongfeng 20 2012 On the wave-breaking phenomena for the periodic two-component Dullin-Gottwald-Holm system. Zbl 1298.35121 Zhu, Min; Xu, Junxiang 19 2012 Existence of semiclassical ground-state solutions for semilinear elliptic systems. Zbl 1329.35141 Wang, Jun; Xu, Junxiang; Zhang, Fubao 7 2012 Existence of infinitely many homoclinic orbits for nonperiodic superquadratic Hamiltonian systems. Zbl 1248.34055 Wang, Jun; Zhang, Hui; Xu, Junxiang; Zhang, Fubao 6 2012 Existence and nonexistence of the ground state solutions for nonlinear Schrödinger equations with nonperiodic nonlinearities. Zbl 1256.35143 Wang, Jun; Tian, Lixin; Xu, Junxiang; Zhang, Fubao 6 2012 Infinitely many homoclinic orbits for superlinear Hamiltonian systems. Zbl 1261.37026 Wang, Jun; Xu, Junxiang; Zhang, Fubao 5 2012 Reducibility for a class of nonlinear quasi-periodic differential equations with degenerate equilibrium point under small perturbation. Zbl 1218.34050 Xu, Junxiang; Jiang, Shunjun 25 2011 Homoclinic orbits for a class of Hamiltonian systems with superquadratic or asymptotically quadratic potentials. Zbl 1231.37033 Wang, Jun; Xu, Junxiang; Zhang, Fubao 23 2011 On small perturbation of two-dimensional quasi-periodic systems with hyperbolic-type degenerate equilibrium point. Zbl 1217.34076 Xu, Junxiang 19 2011 Persistence of lower dimensional tori for a class of nearly integrable reversible systems. Zbl 1223.37075 Wang, Xiaocai; Zhang, Dongfeng; Xu, Junxiang 12 2011 Infinitely many solutions for diffusion equations without symmetry. Zbl 1231.35095 Wang, Jun; Xu, Junxiang; Zhang, Fubao 7 2011 On the reducibility for a class of quasi-periodic Hamiltonian systems with small perturbation parameter. Zbl 1222.37049 Li, Jia; Xu, Junxiang 5 2011 The existence of solutions for superquadratic Hamiltonian elliptic systems on \(\mathbb R^N\). Zbl 1204.35084 Wang, Jun; Xu, Junxiang; Zhang, Fubao 2 2011 Lagrangian stability of a class of second-order periodic systems. Zbl 1222.34047 Jiang, Shunjun; Xu, Junxiang; Zhang, Fubao 1 2011 Existence and multiplicity of homoclinic orbits for the second order Hamiltonian systems. Zbl 1204.37067 Wang, Jun; Zhang, Fubao; Xu, Junxiang 28 2010 Persistence of lower dimensional elliptic invariant tori for a class of nearly integrable reversible systems. Zbl 1202.37080 Wang, Xiaocai; Xu, Junxiang; Zhang, Dongfeng 19 2010 Persistence of the non-twist torus in nearly integrable Hamiltonian systems. Zbl 1202.37079 Xu, Junxiang; You, Jiangong 17 2010 Existence of solutions for nonperiodic superquadratic Hamiltonian elliptic systems. Zbl 1183.35115 Wang, Jun; Xu, Junxiang; Zhang, Fubao 11 2010 Homoclinic orbits for superlinear Hamiltonian systems without Ambrosetti-Rabinowitz growth condition. Zbl 1203.37103 Wang, Jun; Xu, Junxiang; Zhang, Fubao 9 2010 Existence and multiplicity of solutions for asymptotically Hamiltonian elliptic systems in \(\mathbb R^N\). Zbl 1187.35055 Wang, Jun; Xu, Junxiang; Zhang, Fubao 8 2010 Homoclinic orbits for an unbounded superquadratic Hamiltonian systems. (Homoclinic orbits for an unbounded superquadratic.) Zbl 1202.58015 Wang, Jun; Xu, Junxiang; Zhang, Fubao; Wang, Lei 4 2010 Solutions of non-periodic super-quadratic Dirac equations. Zbl 1186.35171 Ding, Jian; Xu, Junxiang; Zhang, Fubao 2 2010 ...and 31 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 798 Authors 91 Xu, Junxiang 35 Tang, Xianhua 35 Zhang, Fubao 29 Zhang, Dongfeng 27 Wang, Jun 25 Zhang, Jian 21 Li, Yong 21 Tang, Chun-Lei 18 Zhang, Wen 16 Zhang, Hui 14 Geng, Jiansheng 14 Shi, Yanling 14 Zhang, Ziheng 13 Chen, Haibo 13 Li, Jia 13 Li, Quanqing 13 Ma, Shiwang 13 Si, Jianguo 12 Wang, Dabin 12 Xu, XinDong 11 Ambrosio, Vincenzo 11 Liu, Zhisu 11 Si, Wen 11 Wang, Xiaocai 11 Xie, Qilin 11 You, Jiangong 10 Shuai, Wei 10 Teng, Kaimin 10 Zhang, Jianjun 9 Chen, Guanwei 9 Chen, Sitong 9 Li, Gongbao 9 Wang, Wenbo 9 Zhang, Xu 9 Zhao, Fukun 8 Cheng, Bitao 8 Du, Miao 8 Guan, Wen 8 Jiang, Shunjun 8 Yang, Xiaomei 8 Ye, Hongyu 8 Yi, Yingfei 8 Zhang, Min 7 Alves, Claudianor Oliveira 7 Chen, Peng 7 Figueiredo, Giovany Malcher 7 Guo, Shangjiang 7 Qin, Dongdong 7 Sun, Juntao 7 Suo, Hong-Min 7 Tian, Lixin 7 Xiao, Lu 7 Yuan, Rong 6 Cong, Fuzhong 6 Do Ó, João M. Bezerra 6 Huang, Yisheng 6 Lei, Chunyu 6 Lü, Dengfeng 6 Lu, Xuezhu 6 Ma, Zhichao 6 Peng, Shuangjie 6 Sevryuk, Mikhail Borisovich 6 Shi, Junping 6 Sun, Jijiang 6 Wu, Xian 5 Chen, Jianhua 5 Fan, Haining 5 Li, Fuyi 5 Li, Lin 5 Liang, Sihua 5 Liao, Jiafeng 5 Liu, Weiming 5 Liu, Zeng 5 Mao, Anmin 5 Ou, Zengqi 5 Rui, Jie 5 Santos, João R. jun. 5 Sun, Dongdong 5 Wu, Hao 5 Wu, Tsungfang 5 Xue, Shuaishuai 5 Yang, Zhipeng 5 Yu, Jian-She 5 Yu, Yuanyang 5 Zhang, Jian 5 Zhang, Zhitao 5 Zhu, Chunpeng 4 Cao, Xiaofei 4 Cheng, Rong 4 Chu, Changmu 4 Deng, Yinbin 4 Gao, Meina 4 Hanßmann, Heinz 4 He, Qihan 4 He, Xiaoming 4 Hu, Tingxi 4 Huang, Peng 4 Li, Qi 4 Li, Yuhua 4 Liao, Fangfang ...and 698 more Authors all top 5 Cited in 151 Serials 52 Journal of Mathematical Analysis and Applications 50 Journal of Differential Equations 40 Nonlinear Analysis. Theory, Methods & Applications. 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Mathematics 6 Communications in Contemporary Mathematics 6 Mediterranean Journal of Mathematics 5 Acta Applicandae Mathematicae 5 Asymptotic Analysis 5 Journal of Inequalities and Applications 5 Annales Henri Poincaré 5 Journal of Applied Mathematics and Computing 4 Chaos, Solitons and Fractals 4 Frontiers of Mathematics in China 4 Science China. Mathematics 4 SN Partial Differential Equations and Applications 3 Indian Journal of Pure & Applied Mathematics 3 Rocky Mountain Journal of Mathematics 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Journal of Functional Analysis 3 Ergodic Theory and Dynamical Systems 3 Journal of Nonlinear Science 3 Taiwanese Journal of Mathematics 3 Discrete Dynamics in Nature and Society 3 Communications in Nonlinear Science and Numerical Simulation 3 Journal of Nonlinear Science and Applications 3 Analysis and Mathematical Physics 2 Communications in Mathematical Physics 2 Archiv der Mathematik 2 Duke Mathematical Journal 2 Journal of the Korean Mathematical Society 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Transactions of the American Mathematical Society 2 Chinese Annals of Mathematics. Series B 2 Physica D 2 Science in China. Series A 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 SIAM Journal on Mathematical Analysis 2 Indagationes Mathematicae. 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