丁彥恆是中國科學院數學與系統科學研究院研究員、博士生導師。
基本介紹
- 中文名：丁彥恆
- 外文名：Ding, Yanheng
- 職業：研究員、博士生導師
- 職業：數學家
- 性別：男
- 部門：數學研究所
人物簡介,研究方向,學術成就,出版專著,發表論著,
人物簡介
職稱：研究員、博士生導師
兼職：中國數學會常務副秘書長、德國洪堡學者、ICTP高級學者
研究方向
學術成就
在Trans.Amer. Math. Soc.、Calc. Var. & PDE.、J. Funct. Anal.、J. Diff. Equat.以及Science in China Ser.A.等國內外重要學術期刊上發表論文七十餘篇, 出版專著《Variational Methods for Strongly Indefinite Problems》。
出版專著
Ding, Yanheng: Variational methods for strongly indefinite problems. Interdisciplinary Mathematical Sciences, 7. World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ, 2007.
發表論著
1. Minbo Yang, Zifei Shen and Yanheng Ding, Multiple semiclassical solutions for the nonlinear Maxwell-Schr?dinger system, Nonlinear Analysis, 2008.10.105, In press.
2. Fukun Zhao and Yanheng Ding (Communicated with Jean Mawhin), On a diffusion system with bounded potential, doi:10.3934-dcds.2009.23.1073-1086.
3. Fukun Zhao, Leiga Zhao and Yanheng Ding, Multiple Solutions for Asymptotically Linear Elliptic Systems, Nonlinear differ. equ. appl. 15(2008), 673-688.
4. Fukun Zhao, Leiga Zhao and Yanheng Ding, Existence and multiplicity of solutions for a non-periodic Schrodinger equation, Nonlinear Analysis 69(2008) 3671-3678.
5. Yanheng Ding and Juncheng Wei, Stationary states of nonlinear Dirac equations with general potentials, Reviews in Mathematical Physics, Vol.20, No. 8(2008)1007-1032.
6. Yanheng Ding and Bernhard Ruf, Solutions of a nonlinear Dirac equation with external fields, Arch. Rational Mech. Anal. 190 (2008)57-82.
7. Fukun Zhao and Yanheng Ding, Infinitely many solutions for a class of nonlinear Dirac equations without symmetry, Nonlinear Analysis 70（2009）921-935.
8. Ding, Yanheng; Wei, Juncheng: Semiclassical states for nonlinear Schr?dinger equations with sign-changing potentials. J. Funct. Anal. 251 (2007), no. 2, 546--572.
9. Ding, Yanheng; Luan, Shixia; Willem, Michel Solutions of a system of diffusion equations. J. Fixed Point Theory Appl. 2 (2007), no. 1, 117--139.
10. Alves, Claudianor O.; Ding, Yanheng: Existence, multiplicity and concentration of positive solutions for a class of quasilinear problems. Topol. Methods Nonlinear Anal. 29 (2007), no. 2, 265--278.
11. Ding, Yanheng; Lin, Fanghua Solutions of perturbed Schrodinger equations with critical nonlinearity. Calc. Var. Partial Differential Equations 30 (2007), no. 2, 231—249.
12. Ding, Yanheng; Jeanjean, Louis Homoclinic orbits for a nonperiodic Hamiltonian system. J. Differential Equations 237 (2007), no. 2, 473--490.
13. Ding, Yanheng; Szulkin, Andrzej Bound states for semilinear Schrodinger equations with sign-changing potential. Calc. Var. Partial Differential Equations 29 (2007), no. 3, 397--419.
14. Mao, Anmin; Luan, Shixia; Ding, Yanheng Periodic solutions for a class of first order super-quadratic Hamiltonian system. J. Math. Anal. Appl. 330 (2007), no. 1, 584--596.
15. Ding, Yanheng Multiple homoclinics in a Hamiltonian system with asymptotically or super linear terms. Commun. Contemp. Math. 8 (2006), no. 4, 453--480.
16. Bartsch, Thomas; Ding, Yanheng Deformation theorems on non-metrizable vector spaces and applications to critical point theory. Math. Nachr. 279 (2006), no. 12, 1267-1288.
17. Ding, Yanheng; Lin, Fanghua Semiclassical states of Hamiltonian system of Schr?dinger equations with subcritical and critical nonlinearities. J. Partial Differential Equations 19 (2006), no. 3, 232-255.
18. Bartsch, Thomas; Ding, Yanheng Solutions of nonlinear Dirac equations. J. Differential Equations 226 (2006), no. 1, 210--249.
19. Ding, Yanheng; Lee, Cheng Multiple solutions of Schr?dinger equations with indefinite linear part and super or asymptotically linear terms. J. Differential Equations 222 (2006), no. 1, 137-163.
20. Ding, Yanheng; Szulkin, Andrzej Existence and number of solutions for a class of semilinear Schr?dinger equations. Contributions to nonlinear analysis, 221-231, Progr. Nonlinear Differential Equations Appl., 66, Birkh?user, Basel, 2006.
21. Ding, Yanheng; Lee, Cheng Periodic solutions of an infinite dimensional Hamiltonian system. Rocky Mountain J. Math. 35 (2005), no. 6, 1881-1908.
22. Li, Chong; Ding, Yanheng; Li, Shujie Multiple solutions of nonlinear elliptic equations for oscillation problems. J. Math. Anal. Appl. 303 (2005), no. 2, 477-485.
23. Ding, Yanheng Deformation in locally convex topological linear spaces. Sci. China Ser. A 47 (2004), no. 5, 687--710.
24. Clapp, Mónica; Ding, Yanheng; Hernández-Linares, Sergio Strongly indefinite functionals with perturbed symmetries and multiple solutions of nonsymmetric elliptic systems. Electron. J. Differential Equations 2004, No. 100, 18 pp.
25. Clapp, Mónica; Ding, Yanheng Positive solutions of a Schrodinger equation with critical nonlinearity. Z. Angew. Math. Phys. 55 (2004), no. 4, 592-605.
26. Ding, Yanheng; Luan, Shixia Multiple solutions for a class of nonlinear Schr?dinger equations. J. Differential Equations 207 (2004), no. 2, 423-457.
27. Mao, Anmin; Luan, Shixia; Ding, Yanheng On the existence of positive solutions for a class of singular boundary value problems. J. Math. Anal. Appl. 298 (2004), no. 1, 57-72.
28. Ding, Yanheng Homoclinic orbits of Hamiltonian systems. Morse theory, minimax theory and their applications to nonlinear differential equations, 57-65, New Stud. Adv. Math., 1, Int. Press, Somerville, MA, 2003.
29. Ding, Yanheng; Tanaka, Kazunaga Multiplicity of positive solutions of a nonlinear Schr?dinger equation. Manuscripta Math. 112 (2003), no. 1, 109-135.
30. Clapp, Mónica; Ding, Yanheng Minimal nodal solutions of a Schr?dinger equation with critical nonlinearity and symmetric potential. Differential Integral Equations 16 (2003), no. 8, 981-992.
31. De Figueiredo, D. G.; Ding, Y. H. Strongly indefinite functionals and multiple solutions of elliptic systems. Trans. Amer. Math. Soc. 355 (2003), no. 7, 2973-2989.
32. Alves, C. O.; Ding, Y. H. Multiplicity of positive solutions to a p-Laplacian equation involving critical nonlinearity. J. Math. Anal. Appl. 279 (2003), no. 2, 508-521.
33. Bartsch, Thomas; Ding, Yanheng Homoclinic solutions of an infinite-dimensional Hamiltonian system. Math. Z. 240 (2002), no. 2, 289-310.
34. deFigueiredo, D. G.; Ding, Y. H. Solutions of a nonlinear Schr?dinger equation. Discrete Contin. Dyn. Syst. 8 (2002), no. 3, 563-584.
35. Ding, Yanheng Solutions to a class of Schr?dinger equations. Proc. Amer. Math. Soc. 130 (2002), no. 3, 689—696.
36. Bartsch, Thomas; Ding, Yanheng Periodic solutions of superlinear beam and membrane equations with perturbations from symmetry. Nonlinear Anal. 44 (2001), no. 6, Ser. A: Theory Methods, 727-748.
37. Ding, Yanheng; Lee, Cheng Periodic solutions of Hamiltonian systems. SIAM J. Math. Anal. 32 (2000), no. 3, 555—571.
38. Bartsch, T.; Ding, Y. H. Critical-point theory with applications to asymptotically linear wave and beam equations. Differential Integral Equations 13 (2000), no. 7-9, 973--1000.
