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Ouyang, Tiancheng

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Author ID: ouyang.tiancheng Recent zbMATH articles by "Ouyang, Tiancheng"
Published as: Ouyang, Tiancheng
Documents Indexed: 44 Publications since 1991

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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
94
1999
Exact multiplicity of positive solutions for a class of semilinear problems. Zbl 0918.35049
Ouyang, Tiancheng; Shi, Junping
62
1998
On the positive solutions of semilinear equations \(\Delta{}u + \lambda{}u - hu^ p = 0\) on the compact manifolds. Zbl 0759.35021
Ouyang, Tiancheng
62
1992
Exact multiplicity results for boundary value problems with nonlinearities generalising cubic. Zbl 0855.34022
Korman, Philip; Li, Yi; Ouyang, Tiancheng
52
1996
On the positive solutions of semilinear equations \(\Delta{} u+ \lambda{} u + hu^ p = 0\) on compact manifolds. II. Zbl 0773.35020
Ouyang, Tiancheng
48
1991
An exact multiplicity result for a class of semilinear equations. Zbl 0877.35048
Korman, Philip; Li, Yi; Ouyang, Tiancheng
34
1997
Exact multiplicity results for two classes of boundary value problems. Zbl 0780.34013
Korman, Philip; Ouyang, Tiancheng
22
1993
Multiplicity results for two classes of boundary-value problems. Zbl 0824.34028
Korman, Philip; Ouyang, Tiancheng
15
1995
Action-minimizing periodic and quasi-periodic solutions in the \(n\)-body problem. Zbl 1307.70006
Chen, Kuo-Chang; Ouyang, Tiancheng; Xia, Zhihong
12
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.
12
2010
The exact boundary blow-up rate of large solutions for semilinear elliptic problems. Zbl 1138.35025
Ouyang, Tiancheng; Xie, Zhifu
12
2008
The uniqueness of blow-up solution for radially symmetric semilinear elliptic equation. Zbl 1161.35005
Ouyang, Tiancheng; Xie, Zhifu
12
2006
Collinear central configuration in four-body problem. Zbl 1129.70011
Ouyang, Tiancheng; Xie, Zhifu
11
2005
Computing the location and the direction of bifurcation. Zbl 1104.34010
Korman, Philip; Li, Yi; Ouyang, Tiancheng
11
2005
Periodic solutions with singularities in two dimensions in the \(n\)-body problem. Zbl 1263.70015
Ouyang, Tiancheng; Simmons, Skyler C.; Yan, Duokui
9
2012
Periodic solutions with alternating singularities in the collinear four-body problem. Zbl 1270.70040
Ouyang, Tiancheng; Yan, Duokui
9
2011
Pyramidal central configurations and perverse solutions. Zbl 1085.70013
Ouyang, Tiancheng; Xie, Zhifu; Shiqing Zhang
9
2004
Exact multiplicity results for two classes of periodic equations. Zbl 0844.34036
Korman, Philip; Ouyang, Tiancheng
9
1995
Star pentagon and many stable choreographic solutions of the Newtonian 4-body problem. Zbl 1364.70024
Ouyang, Tiancheng; Xie, Zhifu
8
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
8
2011
New phenomena in the spatial isosceles three-body problem. Zbl 1325.70026
Yan, Duokui; Ouyang, Tiancheng
7
2015
Exact multiplicity results for a class of boundary-value problems with cubic nonlinearities. Zbl 0837.34033
Korman, Philip; Ouyang, Tiancheng
7
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
6
2012
Perturbation of global solution curves for semilinear problems. Zbl 1055.34034
Korman, Philip; Li, Yi; Ouyang, Tiancheng
5
2003
Solution curves for two classes of boundary-value problems. Zbl 0860.34009
Korman, Philip; Ouyang, Tiancheng
5
1996
Regularization of simultaneous binary collisions and solutions with singularity in the collinear four-body problem. Zbl 1171.37034
Ouyang, Tiancheng; Xie, Zhifu
4
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
3
2017
Classification of periodic orbits in the planar equal-mass four-body problem. Zbl 1360.70017
Xie, Zhifu; Ouyang, Tiancheng; Yan, Duokui
3
2015
Positive solutions of semilinear elliptic equation \(\Delta u+ hu^{(n+ 2)/(n- 2)} =0\). Zbl 0837.35052
Ouyang, Tiancheng
3
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
2
2018
Linear stability of the criss-cross orbit in the equal-mass three-body problem. Zbl 1404.70027
Chang, Xiaojun; Ouyang, Tiancheng; Yan, Duokui
2
2016
A simplified proof of a conjecture for the perturbed Gelfand equation from combustion theory. Zbl 1379.35135
Korman, Philip; Li, Yi; Ouyang, Tiancheng
1
2017
Variational properties and linear stabilities of spatial isosceles orbits in the equal-mass three-body problem. Zbl 1380.70031
Ouyang, Tiancheng; Yan, Duokui
1
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
1
2015
Simultaneous binary collisions in the equal-mass collinear four-body problem. Zbl 1392.70006
Ouyang, Tiancheng; Yan, Duokui
1
2015
Verification of bifurcation diagrams for polynomial-like equations. Zbl 1217.34063
Korman, Philip; Li, Yi; Ouyang, Tiancheng
1
2008
Positivity for the linearized problem for semilinear equations. Zbl 1293.35119
Korman, Philip; Ouyang, Tiancheng
1
2006
Bifurcation from infinity induced by a degeneracy in semilinear equations. Zbl 1122.35330
Du, Yihong; Ouyang, Tiancheng
1
2002
Multiplicity and Morse indices of sign-changing solutions for semilinear equations. Zbl 0957.34020
Korman, Philip; Ouyang, Tiancheng
1
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
2
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
3
2017
A simplified proof of a conjecture for the perturbed Gelfand equation from combustion theory. Zbl 1379.35135
Korman, Philip; Li, Yi; Ouyang, Tiancheng
1
2017
Variational properties and linear stabilities of spatial isosceles orbits in the equal-mass three-body problem. Zbl 1380.70031
Ouyang, Tiancheng; Yan, Duokui
1
2017
Linear stability of the criss-cross orbit in the equal-mass three-body problem. Zbl 1404.70027
Chang, Xiaojun; Ouyang, Tiancheng; Yan, Duokui
2
2016
Star pentagon and many stable choreographic solutions of the Newtonian 4-body problem. Zbl 1364.70024
Ouyang, Tiancheng; Xie, Zhifu
8
2015
New phenomena in the spatial isosceles three-body problem. Zbl 1325.70026
Yan, Duokui; Ouyang, Tiancheng
7
2015
Classification of periodic orbits in the planar equal-mass four-body problem. Zbl 1360.70017
Xie, Zhifu; Ouyang, Tiancheng; Yan, Duokui
3
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
1
2015
Simultaneous binary collisions in the equal-mass collinear four-body problem. Zbl 1392.70006
Ouyang, Tiancheng; Yan, Duokui
1
2015
Action-minimizing periodic and quasi-periodic solutions in the \(n\)-body problem. Zbl 1307.70006
Chen, Kuo-Chang; Ouyang, Tiancheng; Xia, Zhihong
12
2012
Periodic solutions with singularities in two dimensions in the \(n\)-body problem. Zbl 1263.70015
Ouyang, Tiancheng; Simmons, Skyler C.; Yan, Duokui
9
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
6
2012
Periodic solutions with alternating singularities in the collinear four-body problem. Zbl 1270.70040
Ouyang, Tiancheng; Yan, Duokui
9
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
8
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.
12
2010
Regularization of simultaneous binary collisions and solutions with singularity in the collinear four-body problem. Zbl 1171.37034
Ouyang, Tiancheng; Xie, Zhifu
4
2009
The exact boundary blow-up rate of large solutions for semilinear elliptic problems. Zbl 1138.35025
Ouyang, Tiancheng; Xie, Zhifu
12
2008
Verification of bifurcation diagrams for polynomial-like equations. Zbl 1217.34063
Korman, Philip; Li, Yi; Ouyang, Tiancheng
1
2008
The uniqueness of blow-up solution for radially symmetric semilinear elliptic equation. Zbl 1161.35005
Ouyang, Tiancheng; Xie, Zhifu
12
2006
Positivity for the linearized problem for semilinear equations. Zbl 1293.35119
Korman, Philip; Ouyang, Tiancheng
1
2006
Collinear central configuration in four-body problem. Zbl 1129.70011
Ouyang, Tiancheng; Xie, Zhifu
11
2005
Computing the location and the direction of bifurcation. Zbl 1104.34010
Korman, Philip; Li, Yi; Ouyang, Tiancheng
11
2005
Pyramidal central configurations and perverse solutions. Zbl 1085.70013
Ouyang, Tiancheng; Xie, Zhifu; Shiqing Zhang
9
2004
Perturbation of global solution curves for semilinear problems. Zbl 1055.34034
Korman, Philip; Li, Yi; Ouyang, Tiancheng
5
2003
Bifurcation from infinity induced by a degeneracy in semilinear equations. Zbl 1122.35330
Du, Yihong; Ouyang, Tiancheng
1
2002
Exact multiplicity of positive solutions for a class of semilinear problem. II. Zbl 0947.35067
Ouyang, Tiancheng; Shi, Junping
94
1999
Multiplicity and Morse indices of sign-changing solutions for semilinear equations. Zbl 0957.34020
Korman, Philip; Ouyang, Tiancheng
1
1999
Exact multiplicity of positive solutions for a class of semilinear problems. Zbl 0918.35049
Ouyang, Tiancheng; Shi, Junping
62
1998
An exact multiplicity result for a class of semilinear equations. Zbl 0877.35048
Korman, Philip; Li, Yi; Ouyang, Tiancheng
34
1997
Exact multiplicity results for boundary value problems with nonlinearities generalising cubic. Zbl 0855.34022
Korman, Philip; Li, Yi; Ouyang, Tiancheng
52
1996
Solution curves for two classes of boundary-value problems. Zbl 0860.34009
Korman, Philip; Ouyang, Tiancheng
5
1996
Multiplicity results for two classes of boundary-value problems. Zbl 0824.34028
Korman, Philip; Ouyang, Tiancheng
15
1995
Exact multiplicity results for two classes of periodic equations. Zbl 0844.34036
Korman, Philip; Ouyang, Tiancheng
9
1995
Exact multiplicity results for a class of boundary-value problems with cubic nonlinearities. Zbl 0837.34033
Korman, Philip; Ouyang, Tiancheng
7
1995
Positive solutions of semilinear elliptic equation \(\Delta u+ hu^{(n+ 2)/(n- 2)} =0\). Zbl 0837.35052
Ouyang, Tiancheng
3
1995
Exact multiplicity results for two classes of boundary value problems. Zbl 0780.34013
Korman, Philip; Ouyang, Tiancheng
22
1993
On the positive solutions of semilinear equations \(\Delta{}u + \lambda{}u - hu^ p = 0\) on the compact manifolds. Zbl 0759.35021
Ouyang, Tiancheng
62
1992
On the positive solutions of semilinear equations \(\Delta{} u+ \lambda{} u + hu^ p = 0\) on compact manifolds. II. Zbl 0773.35020
Ouyang, Tiancheng
48
1991
all top 5

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
all top 5

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

Citations by Year