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田如顺

  • 职称(Positional titles):

  • 副教授

  • 所在部门(Department):

  • 分析教研室

  • 研究方向(Research direction):

  • 变分法

  • 办公室(Office):

  • 教二楼 507

  • E-mail :

  • rushun.tian AT cnu.edu.cn

  • 个人主页(Personal home page):

个人简介 论文出版物 教学经历 科研项目及会议 Personal profile

田如顺,男,首都师范大学数学科学学院副教授。博士毕业于美国犹他州立大学,研究方向为变分法。办公室位于校本部教二楼507,电子邮件为rushun.tian@cnu.edu.cn。


1. Chen, Yutong; Su, Jiabao; Sun, Mingzheng; Tian, Rushun; Multiple Solutions of Some Elliptic Systems with Linear Couplings. Acta Math. Sci. Ser. B (Engl. Ed.) 41 (2021), no. 4, 1141–1150.
2. Ding, Lei; Sun, Mingzheng; Tian, Rushun A remark on the Ambrosetti-Prodi type problem. Appl. Math. Lett. 111 (2021), Paper No. 106648, 7 pp.
3. Liu, Chuangye; Tian, Rushun Normalized solutions for 3-coupled nonlinear Schrödinger equations. Commun. Pure Appl. Anal. 19 (2020), no. 11, 5115–5130.
4. Sun, Mingzheng; Chen, Yutong; Tian, Rushun Some perturbation results of Kirchhoff type equations via Morse theory. Fixed Point Theory Appl. 2020, Paper No. 10, 16 pp.
5. Chen, Yutong; Su, Jiabao; Sun, Mingzheng; Tian, Rushun Multiple solutions for the coercive semilinear elliptic equations. J. Math. Anal. Appl. 487 (2020), no. 2, 124031, 12 pp.
6. Su, Jiabao; Tian, Rushun; Zhao, Leiga; Bifurcations of elliptic systems with linear couplings. Appl. Math. Lett. 100 (2020), 106042.
7. Su, Jiabao; Tian, Rushun; Wang, Zhi-Qiang; Positive solutions of doubly coupled multicomponent nonlinear Schrodinger systems.Discrete Contin. Dyn. Syst. Ser. S 12 (2019), no. 7, 2143–2161.
8. Dai, Guowei; Tian, Rushun; Zhang, Zhitao; Global bifurcations and a priori bounds of positive solutions for coupled nonlinear Schrodinger systems.Discrete Contin. Dyn. Syst. Ser. S 12 (2019), no. 7, 1905–1927.
9. Bartsch, Thomas; Tian, Rushun; Wang, Zhi-Qiang; Bifurcations for a coupled Schrodinger system with multiple components.Z. Angew. Math. Phys. 66 (2015), no. 5, 2109–2123.
10. Tian, RuShun; Zhang, ZhiTao; Existence and bifurcation of solutions for a double coupled system of Schrodinger equations.Sci. China Math. 58 (2015), no. 8, 1607–1620.
11. Tian, Rushun; Sun, Mingzheng; Zhao, Leiga; Applications of Morse theory to some nonlinear elliptic equations with resonance at zero.Nonlinear Anal. 113 (2015), 87–93.
12. Nguyen, Nghiem V.; Tian, Rushun; Wang, Zhi-Qiang; Stability of traveling-wave solutions for a Schrodinger system with power-type nonlinearities.Electron. J. Differential Equations 2014, No. 217, 16 pp.
13. Deconinck, Bernard; Sheils, Natalie E.; Nguyen, Nghiem V.; Tian, Rushun; On the spectral stability of solitary wave solutions of the vector nonlinear Schrodinger equation.J. Phys. A 46 (2013), no. 41, 415202, 21 pp.
14. Nguyen, Nghiem V.; Tian, Rushun; Deconinck, Bernard; Sheils, Natalie; Global existence for a coupled system of Schrodinger equations with power-type nonlinearities.J. Math. Phys. 54 (2013), no. 1, 011503, 19 pp.
15. Tian, Rushun; Wang, Zhi-Qiang; Bifurcation results of positive solutions for an indefinite nonlinear elliptic system II.Adv. Nonlinear Stud. 13 (2013), no. 1, 245–262.
16. Tian, Rushun; Wang, Zhi-Qiang; Bifurcation results on positive solutions of an indefinite nonlinear elliptic system.Discrete Contin. Dyn. Syst. 33 (2013), no. 1, 335–344.
17. Su, Jiabao; Tian, Rushun; Weighted Sobolev type embeddings and coercive quasilinear elliptic equations on RNProc. Amer. Math. Soc. 140 (2012), no. 3, 891–903.
18. Li, Xiaoli; Su, Jiabao; Tian, Rushun; Multiple periodic solutions of the second order Hamiltonian systems with superlinear terms.J. Math. Anal. Appl. 385 (2012), no. 1, 1–11.
19. Tian, Rushun; Wang, Zhi-qiang; Multiple solitary wave solutions of nonlinear Schrodinger systems.Topol. Methods Nonlinear Anal. 37 (2011), no. 2, 203–223.
20. Su, Jiabao, Tian Rushun; Weighted Sobolev embeddings and radial solutions of inhomogeneous quasilinear elliptic equations.Commun. Pure Appl. Anal. 9 (2010), no. 4, 885–904.


2022.03-2022.06,常微分方程,本科生
2021.09-2022.01,泛函分析,研究生基础课
2021.09-2022.01,Morse理论,研究生方向课
2021.03-2021.06,微分方程中的变分方法,研究生方向课
2021.03-2021.06,常微分方程,本科生
2020.09-2021.01,泛函分析,研究生基础课
2020.03-2020.06,高等数学A,本科生
2019.09-2020.01,高等数学A,本科生
2019.03-2019.06,常微分方程,本科生
2018.09-2019.01,高等数学3,本科生
2018.02-2018.06,高等数学2,本科生
2017.09-2018.01,高等数学1,本科生
2017.02-2017.07,常微分方程,本科生
2016.09-2017.01,高等数学3,本科生
2016.02-2016.07,高等数学2,本科生
2015.09-2016.01,高等数学1,本科生


2022.01-2025.12,临界点理论和分歧理论在椭圆型方程组的应用,主持(12171326)国家自然科学基金--面上项目
2020.01-2022.12,Morse理论与椭圆型变分问题,参加KZ202010028048,北京市教委重点项目
2018.01-2021.12,临界点理论与变分问题(11771302),参加,国家自然科学基金--面上项目
2017.01-2019.12,几类非线性椭圆型方程组的多解性问题研究(11601353,主持),国家自然科学基金青年项目
2017.01-2018.12,几类非线性方程组的多解问题研究(1174013,主持),北京市自然科学基金青年项目
2014.06-2015.06,一类非线性薛定谔方程组驻波解的分歧现象研究(2014M550862, 主持),中国博士后科学基金

Tian, Rushun, Associate professor, Research interest: variational methods and applications in PDEs Office: 507 E-Mail:rushun.tian@cnu.edu.cn