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## Ouyang, Tiancheng

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 Author ID: ouyang.tiancheng Published as: Ouyang, Tiancheng
 Documents Indexed: 44 Publications since 1991
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#### Co-Authors

 3 single-authored 14 Korman, Philip L. 14 Yan, Duokui 10 Xie, Zhifu 6 Li, Yi 3 Shi, Junping 3 Simmons, Skyler C. 2 Bakker, Lennard F. 2 Liu, Rongchang 1 Chang, Xiaojun 1 Chen, Kuo-Chang 1 Du, Yihong 1 Han, Shaoqi 1 Hu, Xingwei 1 Huang, Anping 1 Kuang, Wentian 1 Mao, Weize 1 Peng, Hao 1 Roberts, Gareth E. 1 Shi, Bixiao 1 Shiqing Zhang 1 Xia, Zhihong 1 Xu, Shijie
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#### Serials

 5 Journal of Differential Equations 4 Celestial Mechanics and Dynamical Astronomy 4 Discrete and Continuous Dynamical Systems 3 Journal of Mathematical Analysis and Applications 3 Advanced Nonlinear Studies 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Transactions of the American Mathematical Society 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Electronic Journal of Differential Equations (EJDE) 2 Mathematical Research Letters 1 Nonlinearity 1 Rocky Mountain Journal of Mathematics 1 Indiana University Mathematics Journal 1 Journal of Computational and Applied Mathematics 1 Numerical Functional Analysis and Optimization 1 Physica D 1 Differential and Integral Equations 1 Communications in Partial Differential Equations 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Mathematical Analysis 1 Topological Methods in Nonlinear Analysis 1 The Canadian Applied Mathematics Quarterly 1 Communications in Nonlinear Science and Numerical Simulation 1 Nonlinear Analysis. Theory, Methods & Applications
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#### Fields

 21 Mechanics of particles and systems (70-XX) 14 Ordinary differential equations (34-XX) 13 Partial differential equations (35-XX) 8 Dynamical systems and ergodic theory (37-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Differential geometry (53-XX) 3 Numerical analysis (65-XX) 2 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX)

#### Citations contained in zbMATH

39 Publications have been cited 566 times in 348 Documents Cited by Year
Exact multiplicity of positive solutions for a class of semilinear problem. II. Zbl 0947.35067
Ouyang, Tiancheng; Shi, Junping
1999
Exact multiplicity of positive solutions for a class of semilinear problems. Zbl 0918.35049
Ouyang, Tiancheng; Shi, Junping
1998
On the positive solutions of semilinear equations $$\Delta{}u + \lambda{}u - hu^ p = 0$$ on the compact manifolds. Zbl 0759.35021
Ouyang, Tiancheng
1992
Exact multiplicity results for boundary value problems with nonlinearities generalising cubic. Zbl 0855.34022
Korman, Philip; Li, Yi; Ouyang, Tiancheng
1996
On the positive solutions of semilinear equations $$\Delta{} u+ \lambda{} u + hu^ p = 0$$ on compact manifolds. II. Zbl 0773.35020
Ouyang, Tiancheng
1991
An exact multiplicity result for a class of semilinear equations. Zbl 0877.35048
Korman, Philip; Li, Yi; Ouyang, Tiancheng
1997
Exact multiplicity results for two classes of boundary value problems. Zbl 0780.34013
Korman, Philip; Ouyang, Tiancheng
1993
Multiplicity results for two classes of boundary-value problems. Zbl 0824.34028
Korman, Philip; Ouyang, Tiancheng
1995
Action-minimizing periodic and quasi-periodic solutions in the $$n$$-body problem. Zbl 1307.70006
Chen, Kuo-Chang; Ouyang, Tiancheng; Xia, Zhihong
2012
Linear stability for some symmetric periodic simultaneous binary collision orbits in the four-body problem. Zbl 1223.70029
Bakker, Lennard F.; Ouyang, Tiancheng; Yan, Duokui; Simmons, Skyler; Roberts, Gareth E.
2010
The exact boundary blow-up rate of large solutions for semilinear elliptic problems. Zbl 1138.35025
Ouyang, Tiancheng; Xie, Zhifu
2008
The uniqueness of blow-up solution for radially symmetric semilinear elliptic equation. Zbl 1161.35005
Ouyang, Tiancheng; Xie, Zhifu
2006
Collinear central configuration in four-body problem. Zbl 1129.70011
Ouyang, Tiancheng; Xie, Zhifu
2005
Computing the location and the direction of bifurcation. Zbl 1104.34010
Korman, Philip; Li, Yi; Ouyang, Tiancheng
2005
Periodic solutions with singularities in two dimensions in the $$n$$-body problem. Zbl 1263.70015
Ouyang, Tiancheng; Simmons, Skyler C.; Yan, Duokui
2012
Periodic solutions with alternating singularities in the collinear four-body problem. Zbl 1270.70040
Ouyang, Tiancheng; Yan, Duokui
2011
Pyramidal central configurations and perverse solutions. Zbl 1085.70013
Ouyang, Tiancheng; Xie, Zhifu; Shiqing Zhang
2004
Exact multiplicity results for two classes of periodic equations. Zbl 0844.34036
Korman, Philip; Ouyang, Tiancheng
1995
Star pentagon and many stable choreographic solutions of the Newtonian 4-body problem. Zbl 1364.70024
Ouyang, Tiancheng; Xie, Zhifu
2015
Existence and stability of symmetric periodic simultaneous binary collision orbits in the planar pairwise symmetric four-body problem. Zbl 1270.70034
Bakker, Lennard F.; Ouyang, Tiancheng; Yan, Duokui; Simmons, Skyler
2011
New phenomena in the spatial isosceles three-body problem. Zbl 1325.70026
Yan, Duokui; Ouyang, Tiancheng
2015
Exact multiplicity results for a class of boundary-value problems with cubic nonlinearities. Zbl 0837.34033
Korman, Philip; Ouyang, Tiancheng
1995
Number of central configurations and singular surfaces in the mass space in the collinear four-body problem. Zbl 1258.70022
Ouyang, Tiancheng; Xie, Zhifu
2012
Perturbation of global solution curves for semilinear problems. Zbl 1055.34034
Korman, Philip; Li, Yi; Ouyang, Tiancheng
2003
Solution curves for two classes of boundary-value problems. Zbl 0860.34009
Korman, Philip; Ouyang, Tiancheng
1996
Regularization of simultaneous binary collisions and solutions with singularity in the collinear four-body problem. Zbl 1171.37034
Ouyang, Tiancheng; Xie, Zhifu
2009
Multiple periodic orbits connecting a collinear configuration and a double isosceles configuration in the planar equal-mass four-body problem. Zbl 1372.70038
Shi, Bixiao; Liu, Rongchang; Yan, Duokui; Ouyang, Tiancheng
2017
Classification of periodic orbits in the planar equal-mass four-body problem. Zbl 1360.70017
Xie, Zhifu; Ouyang, Tiancheng; Yan, Duokui
2015
Positive solutions of semilinear elliptic equation $$\Delta u+ hu^{(n+ 2)/(n- 2)} =0$$. Zbl 0837.35052
Ouyang, Tiancheng
1995
A continuum of periodic solutions to the planar four-body problem with two pairs of equal masses. Zbl 1382.37092
Ouyang, Tiancheng; Xie, Zhifu
2018
Linear stability of the criss-cross orbit in the equal-mass three-body problem. Zbl 1404.70027
Chang, Xiaojun; Ouyang, Tiancheng; Yan, Duokui
2016
A simplified proof of a conjecture for the perturbed Gelfand equation from combustion theory. Zbl 1379.35135
Korman, Philip; Li, Yi; Ouyang, Tiancheng
2017
Variational properties and linear stabilities of spatial isosceles orbits in the equal-mass three-body problem. Zbl 1380.70031
Ouyang, Tiancheng; Yan, Duokui
2017
New phenomena in the spatial isosceles three-body problem with unequal masses. Zbl 1328.70005
Yan, Duokui; Liu, Rongchang; Hu, Xingwei; Mao, Weize; Ouyang, Tiancheng
2015
Simultaneous binary collisions in the equal-mass collinear four-body problem. Zbl 1392.70006
Ouyang, Tiancheng; Yan, Duokui
2015
Verification of bifurcation diagrams for polynomial-like equations. Zbl 1217.34063
Korman, Philip; Li, Yi; Ouyang, Tiancheng
2008
Positivity for the linearized problem for semilinear equations. Zbl 1293.35119
Korman, Philip; Ouyang, Tiancheng
2006
Bifurcation from infinity induced by a degeneracy in semilinear equations. Zbl 1122.35330
Du, Yihong; Ouyang, Tiancheng
2002
Multiplicity and Morse indices of sign-changing solutions for semilinear equations. Zbl 0957.34020
Korman, Philip; Ouyang, Tiancheng
1999
A continuum of periodic solutions to the planar four-body problem with two pairs of equal masses. Zbl 1382.37092
Ouyang, Tiancheng; Xie, Zhifu
2018
Multiple periodic orbits connecting a collinear configuration and a double isosceles configuration in the planar equal-mass four-body problem. Zbl 1372.70038
Shi, Bixiao; Liu, Rongchang; Yan, Duokui; Ouyang, Tiancheng
2017
A simplified proof of a conjecture for the perturbed Gelfand equation from combustion theory. Zbl 1379.35135
Korman, Philip; Li, Yi; Ouyang, Tiancheng
2017
Variational properties and linear stabilities of spatial isosceles orbits in the equal-mass three-body problem. Zbl 1380.70031
Ouyang, Tiancheng; Yan, Duokui
2017
Linear stability of the criss-cross orbit in the equal-mass three-body problem. Zbl 1404.70027
Chang, Xiaojun; Ouyang, Tiancheng; Yan, Duokui
2016
Star pentagon and many stable choreographic solutions of the Newtonian 4-body problem. Zbl 1364.70024
Ouyang, Tiancheng; Xie, Zhifu
2015
New phenomena in the spatial isosceles three-body problem. Zbl 1325.70026
Yan, Duokui; Ouyang, Tiancheng
2015
Classification of periodic orbits in the planar equal-mass four-body problem. Zbl 1360.70017
Xie, Zhifu; Ouyang, Tiancheng; Yan, Duokui
2015
New phenomena in the spatial isosceles three-body problem with unequal masses. Zbl 1328.70005
Yan, Duokui; Liu, Rongchang; Hu, Xingwei; Mao, Weize; Ouyang, Tiancheng
2015
Simultaneous binary collisions in the equal-mass collinear four-body problem. Zbl 1392.70006
Ouyang, Tiancheng; Yan, Duokui
2015
Action-minimizing periodic and quasi-periodic solutions in the $$n$$-body problem. Zbl 1307.70006
Chen, Kuo-Chang; Ouyang, Tiancheng; Xia, Zhihong
2012
Periodic solutions with singularities in two dimensions in the $$n$$-body problem. Zbl 1263.70015
Ouyang, Tiancheng; Simmons, Skyler C.; Yan, Duokui
2012
Number of central configurations and singular surfaces in the mass space in the collinear four-body problem. Zbl 1258.70022
Ouyang, Tiancheng; Xie, Zhifu
2012
Periodic solutions with alternating singularities in the collinear four-body problem. Zbl 1270.70040
Ouyang, Tiancheng; Yan, Duokui
2011
Existence and stability of symmetric periodic simultaneous binary collision orbits in the planar pairwise symmetric four-body problem. Zbl 1270.70034
Bakker, Lennard F.; Ouyang, Tiancheng; Yan, Duokui; Simmons, Skyler
2011
Linear stability for some symmetric periodic simultaneous binary collision orbits in the four-body problem. Zbl 1223.70029
Bakker, Lennard F.; Ouyang, Tiancheng; Yan, Duokui; Simmons, Skyler; Roberts, Gareth E.
2010
Regularization of simultaneous binary collisions and solutions with singularity in the collinear four-body problem. Zbl 1171.37034
Ouyang, Tiancheng; Xie, Zhifu
2009
The exact boundary blow-up rate of large solutions for semilinear elliptic problems. Zbl 1138.35025
Ouyang, Tiancheng; Xie, Zhifu
2008
Verification of bifurcation diagrams for polynomial-like equations. Zbl 1217.34063
Korman, Philip; Li, Yi; Ouyang, Tiancheng
2008
The uniqueness of blow-up solution for radially symmetric semilinear elliptic equation. Zbl 1161.35005
Ouyang, Tiancheng; Xie, Zhifu
2006
Positivity for the linearized problem for semilinear equations. Zbl 1293.35119
Korman, Philip; Ouyang, Tiancheng
2006
Collinear central configuration in four-body problem. Zbl 1129.70011
Ouyang, Tiancheng; Xie, Zhifu
2005
Computing the location and the direction of bifurcation. Zbl 1104.34010
Korman, Philip; Li, Yi; Ouyang, Tiancheng
2005
Pyramidal central configurations and perverse solutions. Zbl 1085.70013
Ouyang, Tiancheng; Xie, Zhifu; Shiqing Zhang
2004
Perturbation of global solution curves for semilinear problems. Zbl 1055.34034
Korman, Philip; Li, Yi; Ouyang, Tiancheng
2003
Bifurcation from infinity induced by a degeneracy in semilinear equations. Zbl 1122.35330
Du, Yihong; Ouyang, Tiancheng
2002
Exact multiplicity of positive solutions for a class of semilinear problem. II. Zbl 0947.35067
Ouyang, Tiancheng; Shi, Junping
1999
Multiplicity and Morse indices of sign-changing solutions for semilinear equations. Zbl 0957.34020
Korman, Philip; Ouyang, Tiancheng
1999
Exact multiplicity of positive solutions for a class of semilinear problems. Zbl 0918.35049
Ouyang, Tiancheng; Shi, Junping
1998
An exact multiplicity result for a class of semilinear equations. Zbl 0877.35048
Korman, Philip; Li, Yi; Ouyang, Tiancheng
1997
Exact multiplicity results for boundary value problems with nonlinearities generalising cubic. Zbl 0855.34022
Korman, Philip; Li, Yi; Ouyang, Tiancheng
1996
Solution curves for two classes of boundary-value problems. Zbl 0860.34009
Korman, Philip; Ouyang, Tiancheng
1996
Multiplicity results for two classes of boundary-value problems. Zbl 0824.34028
Korman, Philip; Ouyang, Tiancheng
1995
Exact multiplicity results for two classes of periodic equations. Zbl 0844.34036
Korman, Philip; Ouyang, Tiancheng
1995
Exact multiplicity results for a class of boundary-value problems with cubic nonlinearities. Zbl 0837.34033
Korman, Philip; Ouyang, Tiancheng
1995
Positive solutions of semilinear elliptic equation $$\Delta u+ hu^{(n+ 2)/(n- 2)} =0$$. Zbl 0837.35052
Ouyang, Tiancheng
1995
Exact multiplicity results for two classes of boundary value problems. Zbl 0780.34013
Korman, Philip; Ouyang, Tiancheng
1993
On the positive solutions of semilinear equations $$\Delta{}u + \lambda{}u - hu^ p = 0$$ on the compact manifolds. Zbl 0759.35021
Ouyang, Tiancheng
1992
On the positive solutions of semilinear equations $$\Delta{} u+ \lambda{} u + hu^ p = 0$$ on compact manifolds. II. Zbl 0773.35020
Ouyang, Tiancheng
1991
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#### Cited by 327 Authors

 29 Korman, Philip L. 24 Shi, Junping 23 Ouyang, Tiancheng 18 Xie, Zhifu 17 Yan, Duokui 16 López-Gómez, Julián 12 Li, Yi 12 Wang, Shin-Hwa 11 Wu, Tsungfang 9 Du, Yihong 7 Hung, Kuo-Chih 7 Il’yasov, Yavdat Shavkatovich 6 Wang, Yuwen 6 Wei, Juncheng 5 Hsu, TsingSan 5 Maire, Luis 5 Simmons, Skyler C. 5 Suárez, Antonio 5 Wang, Mingxin 5 Yeh, Tzung-Shin 4 An, Yulian 4 Bakker, Lennard F. 4 García-Melián, Jorge 4 Huang, Shaoyuan 4 Peng, Rui 4 Silva, Kaye O. 4 Winter, Matthias 4 Zhang, Xuemei 4 Zhou, Wenshu 3 Cano-Casanova, Santiago 3 Chen, Hongbin 3 Corbera, Montserrat 3 Dai, Guowei 3 Feng, Meiqiang 3 Ferrario, Davide L. 3 Guo, Zongming 3 Li, Wan-Tong 3 Lin, Hueili 3 Liu, Rongchang 3 Pang, Peter Y. H. 3 Ramos Quoirin, Humberto 3 Rossi, Julio Daniel 3 Sabina-de-Lis, José Claudio 3 Shibata, Tetsutaro 3 Silva, Elves A. B. 3 Sun, Jian-Wen 3 Takeuchi, Shingo 3 Tanaka, Satoshi 3 Umezu, Kenichiro 3 Wang, Shin-Hwa 3 Xu, Benlong 2 Adachi, Shinji 2 Álvarez-Caudevilla, Pablo 2 Alves, Claudianor Oliveira 2 Arcoya, David 2 Bates, Peter W. 2 Bonanno, Gabriele 2 Chen, Jian 2 Chen, Kuan-Ju 2 Chen, Yujuan 2 Chen, Zhiyou 2 Cheng, Jiangang 2 Chern, Jann-Long 2 Cintra, Willian 2 Deng, Chunhua 2 Dolbeault, Jean 2 Duignan, Nathan 2 Dullin, Holger R. 2 Ge, Weigao 2 Gómez-Reñasco, Rosa 2 Gu, Yonggeng 2 Karátson, János 2 Kim, Chan-Gyun 2 Kouhestani, Najmeh 2 Kuang, Wentian 2 Liang, Shuqing 2 Liu, Ping 2 Liu, Zhaoli 2 Llibre, Jaume 2 Lu, Qiuping 2 Ma, Li 2 Macedo, Abiel Costa 2 Mei, Linfeng 2 Miyamoto, Yasuhito 2 Moameni, Abbas 2 Molina-Meyer, Marcela 2 Morales-Rodrigo, Cristian 2 Papageorgiou, Nikolaos S. 2 Rădulescu, Vicenţiu D. 2 Rezende, M. C. M. 2 Runst, Thomas 2 Schmidt, Dieter S. 2 Shibata, Masataka 2 Shivaji, Ratnasingham 2 Simon, Peter L. 2 Taira, Kazuaki 2 Tang, Moxun 2 Tang, Yong-Li 2 Tehrani, Hossein Torabi 2 Wang, Xuefeng ...and 227 more Authors
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#### Cited in 80 Serials

 56 Journal of Differential Equations 47 Journal of Mathematical Analysis and Applications 39 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 14 Discrete and Continuous Dynamical Systems 11 Calculus of Variations and Partial Differential Equations 9 Celestial Mechanics and Dynamical Astronomy 8 Transactions of the American Mathematical Society 7 Journal of Functional Analysis 7 Proceedings of the American Mathematical Society 6 Archive for Rational Mechanics and Analysis 6 ZAMP. Zeitschrift für angewandte Mathematik und Physik 6 Applied Mathematics and Computation 6 Nonlinear Analysis. Real World Applications 5 Applicable Analysis 5 Communications in Contemporary Mathematics 5 Advanced Nonlinear Studies 5 Boundary Value Problems 5 Nonlinear Analysis. Theory, Methods & Applications 4 Journal of Computational and Applied Mathematics 4 Results in Mathematics 4 Abstract and Applied Analysis 3 Journal of Mathematical Physics 3 Rocky Mountain Journal of Mathematics 3 Mathematische Nachrichten 3 Communications in Partial Differential Equations 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Journal of Dynamics and Differential Equations 3 NoDEA. Nonlinear Differential Equations and Applications 3 Qualitative Theory of Dynamical Systems 3 Discrete and Continuous Dynamical Systems. Series B 3 Communications on Pure and Applied Analysis 2 Journal d’Analyse Mathématique 2 Journal of Mathematical Biology 2 Nonlinearity 2 Journal of Geometry and Physics 2 International Journal of Mathematics and Mathematical Sciences 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Physica D 2 Mathematical and Computer Modelling 2 Complex Variables and Elliptic Equations 2 Advances in Nonlinear Analysis 1 Bulletin of the Australian Mathematical Society 1 Computers & Mathematics with Applications 1 Mathematical Methods in the Applied Sciences 1 Mathematical Notes 1 Physics Letters. A 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Czechoslovak Mathematical Journal 1 Duke Mathematical Journal 1 Functional Analysis and its Applications 1 Geometriae Dedicata 1 Inventiones Mathematicae 1 Mathematische Zeitschrift 1 Proceedings of the London Mathematical Society. Third Series 1 Quarterly of Applied Mathematics 1 Ricerche di Matematica 1 Applied Mathematics and Mechanics. (English Edition) 1 Chinese Annals of Mathematics. Series B 1 Acta Applicandae Mathematicae 1 Applied Mathematics Letters 1 International Journal of Mathematics 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 SIAM Journal on Scientific Computing 1 Topological Methods in Nonlinear Analysis 1 Annales Henri Poincaré 1 Differentsial’nye Uravneniya i Protsessy Upravleniya 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of Applied Mathematics and Computing 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Journal of Function Spaces and Applications 1 Advances in Difference Equations 1 Mathematical Biosciences and Engineering 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Frontiers of Mathematics in China 1 Discrete and Continuous Dynamical Systems. Series S 1 International Journal of Biomathematics 1 International Journal of Differential Equations 1 Science China. Mathematics 1 Kyoto Journal of Mathematics
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#### Cited in 21 Fields

 217 Partial differential equations (35-XX) 90 Ordinary differential equations (34-XX) 53 Mechanics of particles and systems (70-XX) 30 Biology and other natural sciences (92-XX) 28 Global analysis, analysis on manifolds (58-XX) 27 Operator theory (47-XX) 22 Dynamical systems and ergodic theory (37-XX) 9 Numerical analysis (65-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 7 Differential geometry (53-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Integral equations (45-XX) 3 Mechanics of deformable solids (74-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Difference and functional equations (39-XX) 2 Fluid mechanics (76-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Functional analysis (46-XX)