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Author ID: xu.junxiang Recent zbMATH articles by "Xu, Junxiang"
Published as: Xu, Junxiang; Xu, Jun Xiang
Documents Indexed: 154 Publications since 1990
Co-Authors: 37 Co-Authors with 140 Joint Publications
1,265 Co-Co-Authors
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
7 Mathematical Methods in the Applied Sciences
7 Journal of Differential Equations
6 Journal of Mathematical Physics
6 Proceedings of the American Mathematical Society
6 Qualitative Theory of Dynamical Systems
5 Ergodic Theory and Dynamical Systems
5 Acta Applicandae Mathematicae
5 Journal of Dynamics and Differential Equations
5 NoDEA. Nonlinear Differential Equations and Applications
5 Discrete and Continuous Dynamical Systems. Series B
4 Electronic Journal of Differential Equations (EJDE)
4 Electronic Journal of Qualitative Theory of Differential Equations
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 Regular and Chaotic Dynamics
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

Publications by Year

Citations contained in zbMATH Open

121 Publications have been cited 1,244 times in 749 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
246
2012
Invariant tori for nearly integrable Hamiltonian systems with degeneracy. Zbl 0899.34030
Xu, Junxiang; You, Jiangong; Qiu, Qingjiu
88
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
57
2013
Persistence of lower-dimensional tori under the first Melnikov’s non-resonance condition. Zbl 1031.37053
Xu, Junxiang; You, Jiangong
42
2001
Existence and multiplicity of homoclinic orbits for the second order Hamiltonian systems. Zbl 1204.37067
Wang, Jun; Zhang, Fubao; Xu, Junxiang
26
2010
Normal form of reversible systems and persistence of lower dimensional tori under weaker nonresonance conditions. Zbl 1075.37020
Xu, Junxiang
25
2004
On the persistence of degenerate lower-dimensional tori in reversible systems. Zbl 1351.37231
Wang, Xiaocai; Xu, Junxiang; Zhang, Dongfeng
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
23
2011
Homoclinic orbits for a class of Hamiltonian systems with superquadratic or asymptotically quadratic potentials. Zbl 1231.37033
Wang, Jun; Xu, Junxiang; Zhang, Fubao
22
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
18
2010
On small perturbation of two-dimensional quasi-periodic systems with hyperbolic-type degenerate equilibrium point. Zbl 1217.34076
Xu, Junxiang
18
2011
Degenerate lower dimensional tori in reversible systems. Zbl 1260.37029
Wang, Xiaocai; Xu, Junxiang; Zhang, Dongfeng
18
2012
On the reducibility of a class of linear differential equations with quasiperiodic coefficients. Zbl 1043.34036
Xu, Junxiang
18
1999
On the wave-breaking phenomena for the periodic two-component Dullin-Gottwald-Holm system. Zbl 1298.35121
Zhu, Min; Xu, Junxiang
17
2012
Gevrey-smoothness of invariant tori for analytic reversible systems under Rüssmann’s non-degeneracy condition. Zbl 1175.37065
Wang, Xiaocai; Xu, Junxiang
17
2009
A KAM theorem of degenerate infinite dimensional Hamiltonian systems. II. Zbl 0855.58030
Xu, Junxiang; Qiu, Qingjiu; You, Jiangong
16
1996
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
Existence of multiple positive solutions for Schrödinger-Poisson systems with critical growth. Zbl 1329.35144
Wang, Jun; Tian, Lixin; Xu, Junxiang; Zhang, Fubao
16
2015
On quasi-periodic perturbations of hyperbolic-type degenerate equilibrium point of a class of planar systems. Zbl 1278.34045
Xu, Junxiang
15
2013
Persistence of the non-twist torus in nearly integrable Hamiltonian systems. Zbl 1202.37079
Xu, Junxiang; You, Jiangong
15
2010
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
Existence and multiplicity of solutions for superlinear fractional Schrödinger equations in \(\mathbb{R}^{N}\). Zbl 1328.35225
Zhang, Hui; Xu, Junxiang; Zhang, Fubao
15
2015
Existence of multi-bump solutions for a semilinear Schrödinger-Poisson system. Zbl 1301.35159
Wang, Jun; Xu, Junxiang; Zhang, Fubao; Chen, Xumei
14
2013
A KAM theorem of degenerate infinite dimensional Hamiltonian systems. I. Zbl 0855.58029
Xu, Junxiang; Qiu, Qingjiu; You, Jiangong
13
1996
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
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
13
2008
On quasi-periodic solutions for a generalized Boussinesq equation. Zbl 1339.37078
Shi, Yanling; Xu, Junxiang; Xu, Xindong
12
2014
On a class of semilinear Schrödinger equations with indefinite linear part. Zbl 1312.35105
Zhang, Hui; Xu, Junxiang; Zhang, Fubao
11
2014
Existence of solutions for nonperiodic superquadratic Hamiltonian elliptic systems. Zbl 1183.35115
Wang, Jun; Xu, Junxiang; Zhang, Fubao
11
2010
On the reducibility of two-dimensional linear quasi-periodic systems with small parameter. Zbl 1352.37070
Xu, Junxiang; Lu, Xuezhu
11
2015
Existence and multiplicity of solutions for a generalized Choquard equation. Zbl 1375.35134
Zhang, Hui; Xu, Junxiang; Zhang, Fubao
11
2017
Persistence of lower dimensional tori for a class of nearly integrable reversible systems. Zbl 1223.37075
Wang, Xiaocai; Zhang, Dongfeng; Xu, Junxiang
11
2011
Positive ground states for asymptotically periodic Schrödinger-Poisson systems. Zbl 1271.35022
Zhang, Hui; Xu, Junxiang; Zhang, Fubao
10
2013
Invariant curves of analytic reversible mappings under Brjuno-Rüssmann’s non-resonant condition. Zbl 1320.47009
Zhang, Dongfeng; Xu, Junxiang
9
2014
On reducibility of linear differential equations with almost-periodic coefficients. Zbl 0922.34040
Xu, Junxiang; You, Jiangong
9
1996
On the reducibility of 2-dimensional linear quasi-periodic systems with small parameters. Zbl 1350.34039
Xu, Junxiang; Kun, Wang; Min, Zhu
9
2016
General KAM theorems and their applications to invariant tori with prescribed frequencies. Zbl 1344.37070
Xu, Junxiang; Lu, Xuezhu
8
2016
Homoclinic orbits for superlinear Hamiltonian systems without Ambrosetti-Rabinowitz growth condition. Zbl 1203.37103
Wang, Jun; Xu, Junxiang; Zhang, Fubao
8
2010
On invariant tori of vector field under weaker non-degeneracy condition. Zbl 1358.37101
Zhang, Dongfeng; Xu, Junxiang
8
2015
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
Ground state solutions for asymptotically periodic Schrödinger equations with indefinite linear part. Zbl 1317.35024
Zhang, Hui; Xu, Junxiang; Zhang, Fubao
8
2015
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
On small perturbations of a nonlinear periodic system with degenerate equilibrium. Zbl 1315.37038
Lu, Xuezhu; Xu, Junxiang
7
2014
A note on the extension of the Dinaburg-Sinai theorem to higher dimension. Zbl 1087.34023
Liang, Jianli; Xu, Junxiang
7
2005
Multiplicity of semiclassical states for Schrödinger-Poisson systems with critical frequency. Zbl 1433.35065
Zhang, Hui; Xu, Junxiang; Zhang, Fubao
7
2020
Persistence of hyperbolic-type degenerate lower-dimensional invariant tori with prescribed frequencies in Hamiltonian systems. Zbl 1481.37067
Xu, Junxiang; You, Jiangong
7
2020
Infinitely many solutions for diffusion equations without symmetry. Zbl 1231.35095
Wang, Jun; Xu, Junxiang; Zhang, Fubao
6
2011
Persistence of elliptic lower dimensional invariant tori for small perturbation of degenerate integrable Hamiltonian systems. Zbl 0889.58045
Xu, Junxiang
6
1997
Existence of semiclassical ground-state solutions for semilinear elliptic systems. Zbl 1329.35141
Wang, Jun; Xu, Junxiang; Zhang, Fubao
6
2012
On the Cauchy problem for the two-component \(b\)-family system. Zbl 1277.35136
Zhu, Min; Xu, Junxiang
6
2013
Reducibility of three dimensional skew symmetric system with Liouvillean basic frequencies. Zbl 1430.34052
Zhang, Dongfeng; Xu, Junxiang; Xu, Xindong
6
2018
Quasi-periodic solutions of generalized Boussinesq equation with quasi-periodic forcing. Zbl 1366.37138
Shi, Yanling; Xu, Junxiang; Xu, Xindong
6
2017
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
6
2016
Bound and ground states for a concave-convex generalized Choquard equation. Zbl 1515.35017
Zhang, Hui; Xu, Junxiang; Zhang, Fubao
6
2017
Persistence of lower dimensional hyperbolic invariant tori for nearly integrable symplectic mappings. Zbl 1339.37044
Bi, Qiaoyan; Xu, Junxiang
5
2014
Persistence of invariant torus in Hamiltonian systems with two-degree of freedom. Zbl 1134.37025
Zhang, Li; Xu, Junxiang
5
2008
Corrigendum for the paper “Invariant tori for nearly integrable Hamiltonian systems with degeneracy”. Zbl 1129.34314
Xu, Junxiang; You, Jiangong
5
2007
Ground states for asymptotically periodic Schrödinger-Poisson systems with critical growth. Zbl 1300.35033
Zhang, Hui; Xu, Junxiang; Zhang, Fubao; Du, Miao
5
2014
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
Existence of infinitely many homoclinic orbits for nonperiodic superquadratic Hamiltonian systems. Zbl 1248.34055
Wang, Jun; Zhang, Hui; Xu, Junxiang; Zhang, Fubao
5
2012
Periodic solutions for a class of non-autonomous differential delay equations. Zbl 1186.34091
Cheng, Rong; Xu, Junxiang
5
2009
Reducibility of a class of nonlinear quasi-periodic systems with Liouvillean basic frequencies. Zbl 1469.37048
Zhang, Dongfeng; Xu, Junxiang
5
2021
The existence of solutions with prescribed \(L^{2}\)-norm for Kirchhoff type system. Zbl 1371.35056
Cao, Xiaofei; Xu, Junxiang; Wang, Jun
5
2017
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
5
2020
A KAM theorem for a class of nearly integrable symplectic mappings. Zbl 1370.37117
Lu, Xuezhu; Li, Jia; Xu, Junxiang
5
2017
On invariant tori with prescribed frequency in Hamiltonian systems. Zbl 1364.70034
Zhang, Dongfeng; Xu, Junxiang; Wu, Hao
5
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
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
On the effective reducibility of a class of quasi-periodic Hamiltonian systems. Zbl 1332.34077
Li, Jia; Xu, Junxiang
4
2015
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
4
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
4
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
Infinitely many homoclinic orbits for superlinear Hamiltonian systems. Zbl 1261.37026
Wang, Jun; Xu, Junxiang; Zhang, Fubao
4
2012
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
On the reducibility for a class of quasi-periodic Hamiltonian systems with small perturbation parameter. Zbl 1222.37049
Li, Jia; Xu, Junxiang
4
2011
Existence of positive ground states for some nonlinear Schrödinger systems. Zbl 1282.35363
Zhang, Hui; Xu, Junxiang; Zhang, Fubao
4
2013
On quasi-periodic solutions for generalized Boussinesq equation with quadratic nonlinearity. Zbl 1308.76041
Shi, Yanling; Xu, Junxiang; Xu, Xindong
3
2015
Persistence of lower dimensional hyperbolic tori for reversible system. Zbl 1334.37068
Kong, Yuedong; Xu, Junxiang
3
2014
Invariant tori for Gevrey-smooth Hamiltonian systems under Rüssmann’s nondegeneracy condition. Zbl 1121.37046
Zhang, Dongfeng; Xu, Junxiang
3
2007
Invariant tori with prescribed frequency for nearly integrable Hamiltonian systems. Zbl 1345.70027
Lu, Xuezhu; Xu, Junxiang
3
2014
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
Persistence of Floquet invariant tori for a class of non-conservative dynamical systems. Zbl 1189.37066
Xu, Junxiang
3
2007
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
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
A KAM theorem for quasi-periodic non-twist mappings and its application. Zbl 1498.37099
Ma, Zhichao; Xu, Junxiang
3
2022
Solutions of super linear Dirac equations with general potentials. Zbl 1242.47055
Ding, Jian; Xu, Junxiang; Zhang, Fubao
2
2009
The existence of solutions for superquadratic Hamiltonian elliptic systems on \(\mathbb R^N\). Zbl 1204.35084
Wang, Jun; Xu, Junxiang; Zhang, Fubao
2
2011
Boundedness of solutions for a class of second-order differential equations. Zbl 1139.34033
Cheng, Chunrui; Xu, Junxiang
2
2008
Even homoclinic orbits for super quadratic Hamiltonian systems. Zbl 1201.37096
Ding, Jian; Xu, Junxiang; Zhang, Fubao
2
2010
A symplectic map and its application to the persistence of lower dimensional invariant tori. Zbl 1099.37045
Xu, Junxiang; You, Jiangong
2
2002
On the persistence of elliptic lower-dimensional tori in Hamiltonian systems under the first Melnikov condition and Rüssmann’s non-degeneracy condition. Zbl 1114.37033
Wang, Shaoping; Zhang, Dongfeng; Xu, Junxiang
2
2007
Existence and multiplicity of semiclassical solutions for a Schrödinger equation. Zbl 1173.35695
Wang, Jun; Xu, Junxiang; Zhang, Fubao
2
2009
Solutions of non-periodic super-quadratic Dirac equations. Zbl 1186.35171
Ding, Jian; Xu, Junxiang; Zhang, Fubao
2
2010
Quasi-periodic solutions for two dimensional modified Boussinesq equation. Zbl 1467.37069
Shi, Yanling; Xu, Junxiang
2
2021
KAM tori for defocusing modified KDV equation. Zbl 1375.37164
Shi, Yanling; Xu, Junxiang
2
2015
Positive ground states of coupled nonlinear Schrödinger equations on \(\mathbb{R}^n\). Zbl 1488.35511
Zhang, Hui; Xu, Junxiang; Zhang, Fubao
2
2013
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
Multiple solutions for Kirchhoff type problems involving super-linear and sub-linear terms. Zbl 1363.35116
Cao, Xiaofei; Xu, Junxiang
2
2016
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
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
1
2022
On the reducibility of analytic quasi-periodic systems with Liouvillean basic frequencies. Zbl 1513.70066
Zhang, Dongfeng; Xu, Junxiang
1
2022
Reducibility of a class of nonlinear quasi-periodic systems with Liouvillean basic frequencies. Zbl 1469.37048
Zhang, Dongfeng; Xu, Junxiang
5
2021
Quasi-periodic solutions for two dimensional modified Boussinesq equation. Zbl 1467.37069
Shi, Yanling; Xu, Junxiang
2
2021
A \(C^{1+\alpha}\) mechanical counterexample to Moser’s twist theorem. Zbl 1477.70029
Ma, Zhichao; Xu, Junxiang
2
2021
On the reducibility of a class of almost periodic Hamiltonian systems. Zbl 1477.37067
Li, Jia; Xu, Junxiang
1
2021
Multiplicity of concentrating positive solutions for nonlinear Kirchhoff type problems with critical growth. Zbl 1478.35122
Zhang, Hui; Zhang, Fubao; Xu, Junxiang
1
2021
Persistence of lower dimensional degenerate invariant tori with prescribed frequencies in Hamiltonian systems with small parameter. Zbl 1512.37072
Xu, Junxiang
1
2021
Response solutions of 3-dimensional degenerate quasi-periodic systems with small parameter. Zbl 1476.37077
Xu, Junxiang; Li, Qi; Wang, Jun
1
2021
Persistence of degenerate lower dimensional invariant tori in reversible systems with Bruno non-degeneracy conditions. Zbl 1459.37053
Yang, Xiaomei; Xu, Junxiang
1
2021
Multiplicity of semiclassical states for Schrödinger-Poisson systems with critical frequency. Zbl 1433.35065
Zhang, Hui; Xu, Junxiang; Zhang, Fubao
7
2020
Persistence of hyperbolic-type degenerate lower-dimensional invariant tori with prescribed frequencies in Hamiltonian systems. Zbl 1481.37067
Xu, Junxiang; You, Jiangong
7
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
5
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 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
6
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
Normalized solutions for a coupled Schrödinger system with saturable nonlinearities. Zbl 1382.35262
Cao, Xiaofei; Xu, Junxiang; Wang, Jun; Zhang, Fubao
1
2018
Existence and multiplicity of solutions for a generalized Choquard equation. Zbl 1375.35134
Zhang, Hui; Xu, Junxiang; Zhang, Fubao
11
2017
Quasi-periodic solutions of generalized Boussinesq equation with quasi-periodic forcing. Zbl 1366.37138
Shi, Yanling; Xu, Junxiang; Xu, Xindong
6
2017
Bound and ground states for a concave-convex generalized Choquard equation. Zbl 1515.35017
Zhang, Hui; Xu, Junxiang; Zhang, Fubao
6
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 a class of nearly integrable symplectic mappings. Zbl 1370.37117
Lu, Xuezhu; Li, Jia; Xu, Junxiang
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
On the reducibility of 2-dimensional linear quasi-periodic systems with small parameters. Zbl 1350.34039
Xu, Junxiang; Kun, Wang; Min, Zhu
9
2016
General KAM theorems and their applications to invariant tori with prescribed frequencies. Zbl 1344.37070
Xu, Junxiang; Lu, Xuezhu
8
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
6
2016
On invariant tori with prescribed frequency in Hamiltonian systems. Zbl 1364.70034
Zhang, Dongfeng; Xu, Junxiang; Wu, Hao
5
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
2
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
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
16
2015
Existence and multiplicity of solutions for superlinear fractional Schrödinger equations in \(\mathbb{R}^{N}\). Zbl 1328.35225
Zhang, Hui; Xu, Junxiang; Zhang, Fubao
15
2015
On the reducibility of two-dimensional linear quasi-periodic systems with small parameter. Zbl 1352.37070
Xu, Junxiang; Lu, Xuezhu
11
2015
On invariant tori of vector field under weaker non-degeneracy condition. Zbl 1358.37101
Zhang, Dongfeng; Xu, Junxiang
8
2015
Ground state solutions for asymptotically periodic Schrödinger equations with indefinite linear part. Zbl 1317.35024
Zhang, Hui; Xu, Junxiang; Zhang, Fubao
8
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
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
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
KAM tori for defocusing modified KDV equation. Zbl 1375.37164
Shi, Yanling; Xu, Junxiang
2
2015
On quasi-periodic solutions for a generalized Boussinesq equation. Zbl 1339.37078
Shi, Yanling; Xu, Junxiang; Xu, Xindong
12
2014
On a class of semilinear Schrödinger equations with indefinite linear part. Zbl 1312.35105
Zhang, Hui; Xu, Junxiang; Zhang, Fubao
11
2014
Invariant curves of analytic reversible mappings under Brjuno-Rüssmann’s non-resonant condition. Zbl 1320.47009
Zhang, Dongfeng; Xu, Junxiang
9
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 invariant tori for nearly integrable symplectic mappings. Zbl 1339.37044
Bi, Qiaoyan; Xu, Junxiang
5
2014
Ground states for asymptotically periodic Schrödinger-Poisson systems with critical growth. Zbl 1300.35033
Zhang, Hui; Xu, Junxiang; Zhang, Fubao; Du, Miao
5
2014
Persistence of lower dimensional hyperbolic tori for reversible system. Zbl 1334.37068
Kong, Yuedong; Xu, Junxiang
3
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
1
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
57
2013
On quasi-periodic perturbations of hyperbolic-type degenerate equilibrium point of a class of planar systems. Zbl 1278.34045
Xu, Junxiang
15
2013
Existence of multi-bump solutions for a semilinear Schrödinger-Poisson system. Zbl 1301.35159
Wang, Jun; Xu, Junxiang; Zhang, Fubao; Chen, Xumei
14
2013
Positive ground states for asymptotically periodic Schrödinger-Poisson systems. Zbl 1271.35022
Zhang, Hui; Xu, Junxiang; Zhang, Fubao
10
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
4
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
Existence of positive ground states for some nonlinear Schrödinger systems. Zbl 1282.35363
Zhang, Hui; Xu, Junxiang; Zhang, Fubao
4
2013
Positive ground states of coupled nonlinear Schrödinger equations on \(\mathbb{R}^n\). Zbl 1488.35511
Zhang, Hui; Xu, Junxiang; Zhang, Fubao
2
2013
Wave-breaking phenomena and global solutions for periodic two-component Dullin-Gottwald-Holm systems. Zbl 1288.35125
Zhu, Min; Xu, Junxiang
1
2013
Ground state solutions for asymptotically periodic Schrödinger equations with critical growth. Zbl 1291.35040
Zhang, Hui; Xu, Junxiang; Zhang, Fubao
1
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
246
2012
Degenerate lower dimensional tori in reversible systems. Zbl 1260.37029
Wang, Xiaocai; Xu, Junxiang; Zhang, Dongfeng
18
2012
On the wave-breaking phenomena for the periodic two-component Dullin-Gottwald-Holm system. Zbl 1298.35121
Zhu, Min; Xu, Junxiang
17
2012
Existence of semiclassical ground-state solutions for semilinear elliptic systems. Zbl 1329.35141
Wang, Jun; Xu, Junxiang; Zhang, Fubao
6
2012
Existence of infinitely many homoclinic orbits for nonperiodic superquadratic Hamiltonian systems. Zbl 1248.34055
Wang, Jun; Zhang, Hui; Xu, Junxiang; Zhang, Fubao
5
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
4
2012
Infinitely many homoclinic orbits for superlinear Hamiltonian systems. Zbl 1261.37026
Wang, Jun; Xu, Junxiang; Zhang, Fubao
4
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
23
2011
Homoclinic orbits for a class of Hamiltonian systems with superquadratic or asymptotically quadratic potentials. Zbl 1231.37033
Wang, Jun; Xu, Junxiang; Zhang, Fubao
22
2011
On small perturbation of two-dimensional quasi-periodic systems with hyperbolic-type degenerate equilibrium point. Zbl 1217.34076
Xu, Junxiang
18
2011
Persistence of lower dimensional tori for a class of nearly integrable reversible systems. Zbl 1223.37075
Wang, Xiaocai; Zhang, Dongfeng; Xu, Junxiang
11
2011
Infinitely many solutions for diffusion equations without symmetry. Zbl 1231.35095
Wang, Jun; Xu, Junxiang; Zhang, Fubao
6
2011
On the reducibility for a class of quasi-periodic Hamiltonian systems with small perturbation parameter. Zbl 1222.37049
Li, Jia; Xu, Junxiang
4
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
26
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
18
2010
Persistence of the non-twist torus in nearly integrable Hamiltonian systems. Zbl 1202.37079
Xu, Junxiang; You, Jiangong
15
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
8
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
Even homoclinic orbits for super quadratic Hamiltonian systems. Zbl 1201.37096
Ding, Jian; Xu, Junxiang; Zhang, Fubao
2
2010
Solutions of non-periodic super-quadratic Dirac equations. Zbl 1186.35171
Ding, Jian; Xu, Junxiang; Zhang, Fubao
2
2010
Homoclinic orbits of nonperiodic super quadratic Hamiltonian system. Zbl 1192.37088
Ding, Jian; Xu, Junxiang; Zhang, Fubao
1
2010
On the existence of periodic solutions for a class of non-autonomous differential delay equations. Zbl 1209.34084
Cheng, Rong; Xu, Junxiang; Zhang, Dongfeng
1
2010
Gevrey-smoothness of invariant tori for analytic reversible systems under Rüssmann’s non-degeneracy condition. Zbl 1175.37065
Wang, Xiaocai; Xu, Junxiang
17
2009
Periodic solutions for a class of non-autonomous differential delay equations. Zbl 1186.34091
Cheng, Rong; Xu, Junxiang
5
2009
Solutions of super linear Dirac equations with general potentials. Zbl 1242.47055
Ding, Jian; Xu, Junxiang; Zhang, Fubao
2
2009
Existence and multiplicity of semiclassical solutions for a Schrödinger equation. Zbl 1173.35695
Wang, Jun; Xu, Junxiang; Zhang, Fubao
2
2009
Existence of homoclinic orbits for Hamiltonian systems with superquadratic potentials. Zbl 1187.37086
Ding, Jian; Xu, Junxiang; Zhang, Fubao
1
2009
On invariant curves of analytic reversible mappings with degeneracy. Zbl 1180.37084
Zhang, Dongfeng; Xu, Junxiang
1
2009
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
13
2008
...and 21 more Documents
all top 5

Cited by 699 Authors

80 Xu, Junxiang
34 Tang, Xianhua
32 Zhang, Fubao
27 Wang, Jun
27 Zhang, Dongfeng
24 Zhang, Jian
18 Li, Yong
18 Tang, Chun-Lei
17 Zhang, Wen
14 Geng, Jiansheng
14 Shi, Yanling
13 Si, Jianguo
13 Zhang, Hui
12 Chen, Haibo
12 Li, Jia
12 Xu, XinDong
11 Liu, Zhisu
11 Xie, Qilin
11 You, Jiangong
11 Zhang, Ziheng
10 Li, Quanqing
10 Wang, Xiaocai
10 Zhang, Jianjun
9 Ambrosio, Vincenzo
9 Li, Gongbao
9 Ma, Shiwang
9 Si, Wen
8 Chen, Guanwei
8 Chen, Sitong
8 Guan, Wen
8 Jiang, Shunjun
8 Shuai, Wei
8 Wang, Dabin
8 Yi, Yingfei
8 Zhang, Min
8 Zhang, Xu
8 Zhao, Fukun
7 Alves, Claudianor Oliveira
7 Figueiredo, Giovany Malcher
7 Guo, Shangjiang
7 Sun, Juntao
7 Suo, Hong-Min
7 Teng, Kaimin
7 Wang, Wenbo
7 Xiao, Lu
7 Ye, Hongyu
6 Chen, Jianqing
6 Chen, Peng
6 Cheng, Bitao
6 Cong, Fuzhong
6 Huang, Yisheng
6 Lei, Chunyu
6 Lü, Dengfeng
6 Lu, Xuezhu
6 Ma, Zhichao
6 Peng, Shuangjie
6 Qin, Dongdong
6 Sevryuk, Mikhail Borisovich
6 Shi, Junping
6 Tian, Lixin
6 Yuan, Rong
5 Du, Miao
5 Li, Fuyi
5 Liu, Zeng
5 Mao, Anmin
5 Santos, João R. jun.
5 Sun, Dongdong
5 Wu, Tsungfang
5 Wu, Xian
5 Yang, Xiaomei
5 Yu, Jian-She
5 Zhang, Jian
5 Zhu, Chunpeng
4 Cao, Xiaofei
4 Cheng, Rong
4 Hanßmann, Heinz
4 He, Xiaoming
4 Li, Lin
4 Li, Yuhua
4 Liao, Jiafeng
4 Liu, Weiming
4 Qian, Weichao
4 Rui, Jie
4 Shen, Zupei
4 Wu, Hao
4 Wu, Yuanze
4 Xu, Liping
4 Xue, Shuaishuai
4 Yang, Xue
4 Ye, Yiwei
4 Yu, Yuanyang
4 Zhang, Jing
4 Zhang, Zhitao
4 Zhu, Min
4 Zou, Wenming
3 Carrião, Paulo Cesar
3 Chen, Shaowei
3 Chu, Changmu
3 Deng, Yinbin
3 Do Ó, João M. Bezerra
...and 599 more Authors
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Cited in 135 Serials

50 Journal of Differential Equations
48 Journal of Mathematical Analysis and Applications
40 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
35 Journal of Mathematical Physics
28 Communications on Pure and Applied Analysis
26 Boundary Value Problems
24 Discrete and Continuous Dynamical Systems
21 Qualitative Theory of Dynamical Systems
20 Applicable Analysis
20 ZAMP. Zeitschrift für angewandte Mathematik und Physik
19 Journal of Dynamics and Differential Equations
18 Computers & Mathematics with Applications
18 Mathematical Methods in the Applied Sciences
13 Nonlinear Analysis. Real World Applications
13 Advances in Difference Equations
11 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
11 Complex Variables and Elliptic Equations
10 Topological Methods in Nonlinear Analysis
10 Discrete and Continuous Dynamical Systems. Series B
9 The Journal of Geometric Analysis
9 Abstract and Applied Analysis
9 Acta Mathematica Sinica. English Series
8 Monatshefte für Mathematik
8 Proceedings of the American Mathematical Society
8 Applied Mathematics Letters
8 Calculus of Variations and Partial Differential Equations
8 Advances in Nonlinear Analysis
7 Applied Mathematics and Computation
7 Dynamical Systems
7 Acta Mathematica Scientia. Series B. (English Edition)
7 Advanced Nonlinear Studies
7 Discrete and Continuous Dynamical Systems. Series S
7 Journal of Function Spaces
6 Electronic Journal of Differential Equations (EJDE)
6 Mediterranean Journal of Mathematics
5 Mathematische Nachrichten
5 Acta Applicandae Mathematicae
5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
5 NoDEA. Nonlinear Differential Equations and Applications
5 Journal of Inequalities and Applications
5 Regular and Chaotic Dynamics
5 Communications in Contemporary Mathematics
5 Annales Henri Poincaré
5 Journal of Applied Mathematics and Computing
4 Chaos, Solitons and Fractals
4 Asymptotic Analysis
4 Frontiers of Mathematics in China
3 Indian Journal of Pure & Applied Mathematics
3 Nonlinearity
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 Discrete Dynamics in Nature and Society
3 Communications in Nonlinear Science and Numerical Simulation
3 Journal of Nonlinear Science and Applications
3 Science China. Mathematics
3 Journal of Applied Analysis and Computation
3 SN Partial Differential Equations and Applications
2 Communications in Mathematical Physics
2 Archiv der Mathematik
2 Duke Mathematical Journal
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 Transactions of the American Mathematical Society
2 Chinese Annals of Mathematics. Series B
2 Science in China. Series A
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Indagationes Mathematicae. New Series
2 Potential Analysis
2 Journal of Mathematical Sciences (New York)
2 Taiwanese Journal of Mathematics
2 Milan Journal of Mathematics
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
2 Journal of Fixed Point Theory and Applications
2 Advances in Mathematical Physics
2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
2 Annals of Functional Analysis
2 Analysis and Mathematical Physics
2 AIMS Mathematics
2 Electronic Research Archive
1 Archive for Rational Mechanics and Analysis
1 Journal of Mathematical Biology
1 Journal of Statistical Physics
1 Lithuanian Mathematical Journal
1 Ukrainian Mathematical Journal
1 Acta Mathematica Vietnamica
1 Advances in Mathematics
1 Annales Polonici Mathematici
1 Glasgow Mathematical Journal
1 Manuscripta Mathematica
1 Mathematica Slovaca
1 Mathematische Zeitschrift
1 Memoirs of the American Mathematical Society
1 Quaestiones Mathematicae
1 Results in Mathematics
1 Studies in Applied Mathematics
1 Bulletin of the Korean Mathematical Society
1 Chinese Annals of Mathematics. Series A
1 Physica D
...and 35 more Serials

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