标题：丁彦恒
人物简介
姓名：丁彦恒
性别：男
职业：数学家  丁彦恒
单位：中国科学院数学与系统科学研究院
部门：数学研究所
办公地点：中国科学院数学与系统科学研究院思源楼522室
职称：研究员、博士生导师
兼职：中国数学会常务副秘书长、德国洪堡学者、ICTP高级学者[1]
研究方向
非线性泛函分析、变分方法、Hamilton力学、偏微分方程[1]
学术成就
在Trans.Amer. Math. Soc.、Calc. Var. & PDE.、J. Funct. Anal.、J. Diff. Equat.以及Science in China Ser.A.等国内外重要学术期刊上发表论文七十余篇, 出版专著《Variational Methods for Strongly Indefinite Problems》。[1]
出版专著
Ding, Yanheng: Variational methods for strongly indefinite problems. Interdisciplinary Mathematical Sciences, 7. World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ, 2007.[1]
发表论著
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. [1]