基本信息
丁彦恒  男  博导  中国科学院数学与系统科学研究院
电子邮件: dingyh@math.ac.cn
通信地址: 中关村东路55号中科院数学院
邮政编码: 100190

研究领域

   

招生信息

   
招生专业
070101-基础数学
招生方向
(非线性)泛函分析

教育背景

   
学历
   
学位
   

工作经历

   
工作简历
   
社会兼职
2016-07-31-今,中国数学会非线性泛函分析专业委员会, 副理事长

教授课程

微积分I-A
微积分Ⅱ-B
微积分I-B
微积分III-B
变分方法及其应用

专利与奖励

   
奖励信息
   
专利成果
   

出版信息

   
发表论文
(1) Periodic solutions of an asymptotically linear Dirac equation., Ann. Mat. Pura Appl. (4), 2017, 第 1 作者
(2) Multiplicity of semiclassical solutions to nonlinear Schrödinger equations., J. Fixed Point Theory Appl. 19 (2017), no. 1,, 2017, 第 1 作者
(3) Existence and concentration for Kirchhoff type equations around topologically critical points of the potential., Commun. Pure Appl. Anal. 16 (2017), no. 5,, 2017, 第 2 作者
(4) 强不定问题的变分方法, 中国科学, 2017, 第 1 作者
(5) Bifurcation on compact spin manifold, Calc. Var. Partial Differential Equations, 2016, 第 1 作者
(6) On multiplicity of semi-classical solutions to a nonlinear Maxwell-Dirac system., J. Differential Equations, 2016, 第 1 作者
(7) CONCENTRATING PATTERNS OF REACTION-DIFFUSION, Trans. Amer. Math. Soc., 2016, 第 1 作者
(8) Periodic solutions of a Dirac equation with concave and convex nonlinearities, J. Differential Equations, 2015, 第 1 作者
(9) Localized concentration of semi-classical states for nonlinear Dirac equations, Arch. Ration. Mech. Anal., 2015, 第 1 作者
(10) Semiclassical limits of ground state solutions to Schrödinger systems, Calc. Var. Partial Differential Equations, 2014, 第 1 作者
(11) On semi-classical limits of ground states of a nonlinear Maxwell-Dirac system., Calc. Var. Partial Differential Equations, 2014, 第 1 作者
(12) Periodic waves of nonlinear Dirac equations., Nonlinear Anal, 2014, 第 1 作者
(13) Existence of semiclassical states for a coupled Schrödinger system with potentials and nonlocal nonlinearities., Z. Angew. Math. Phys., 2014, 第 3 作者
(14) On the concentration of semi-classical states for a nonlinear Dirac-Klein-Gordon system., J. Differential Equations, 2014, 第 1 作者
(15) On the concentration of semi-classical states for a nonlinear Dirac-Klein-Gordon system., J. Differential Equations, 2014, 第 1 作者
(16) Existence of semiclassical states for a quasilinear Schrödinger equation with critical exponent in RN., Ann. Mat. Pura Appl, 2013, 第 2 作者
(17) Semiclassical solutions of Schrödinger equations with magnetic fields and critical nonlinearities, Manuscripta Math., 2013, 第 1 作者
(18) Existence of solutions for singularly perturbed Schrödinger equations with nonlocal part., Commun. Pure Appl. Anal., 2013, 第 2 作者
(19) Existence and multiplicity of semiclassical states for a quasilinear Schrödinger equation in RN., Commun. Pure Appl. Anal., 2013, 第 2 作者
(20) Semi-classical limits of ground states of a nonlinear Dirac equation , J. Differential Equations, 2012, 第 1 作者
(21) Existence and concentration of semiclassical solutions for Dirac equations with critical nonlinearities., SIAM J. Math. Anal., 2012, 第 1 作者
(22) On semiclassical ground states of a nonlinear Dirac equation., Rev. Math. Phys., 2012, 第 1 作者
(23) Stationary states for nonlinear Dirac equations with superlinear nonlinearities., Topol. Methods Nonlinear Anal., 2012, 第 2 作者
(24) Semiclassical solutions of Schr?dinger equations with magnetic fields and critical nonlinearities , Manuscripta Mathematica, 2012, 第 1 作者
(25) Existence of semiclassical states for a quasilinear Schr?dinger equation with critical exponent in R^N, Annali di Matematica, 2012, 第 2 作者
(26) Multiple solutions for a superlinear and periodic elliptic system on \mathbbRNR, Multiple solutions for a superlinear and periodic elliptic system on \mathbbRNR, Zeitschrift für Angewandte Mathematik und Physik , 2011, 第 2 作者
(27) Bound states of nonlinear Schr?dinger equations with magnetic fields, Bound states of nonlinear Schr?dinger equations with magnetic fields, Annali di Matematica Pura ed Applicata, 2011, 第 1 作者
(28) Homoclinic orbits of first order discrete Hamiltonian systems with super linear terms, SCIENCE CHINA Mathematics, 2011, 第 3 作者
(29) On Hamiltonian elliptic systems with periodic or non-periodic potentials. , On Hamiltonian elliptic systems with periodic or non-periodic potentials. , J. Differential Equations , 2010, 第 2 作者
(30) Semi-classical ground states concentrating on the nonlinear potential for a Dirac equation, Semi-classical ground states concentrating on the nonlinear potential for a Dirac equation, J. Differential Equations , 2010, 第 1 作者
(31) A note on superlinear Hamiltonian elliptic systems, A note on superlinear Hamiltonian elliptic systems, J. Math. Phys, 2009, 第 3 作者
(32) Existence and exponential decay of homoclinics in a nonperiodic superquadratic Hamiltonian system, Existence and exponential decay of homoclinics in a nonperiodic superquadratic Hamiltonian system,  J. Differential Equations , 2009, 第 1 作者
(33) Stationary states of nonlinear Dirac equations with general potentials, Stationary states of nonlinear Dirac equations with general potentials, Rev. Math. Phys, 2008, 第 1 作者
(34) Solutions of a nonlinear Dirac equation with external fields., Solutions of a nonlinear Dirac equation with external fields., Arch. Ration. Mech. Anal, 2008, 第 1 作者
(35) Semiclassical states for nonlinear Schr?dinger equations with sign-changing potentials, Semiclassical states for nonlinear Schr?dinger equations with sign-changing potentials, J. Funct. Anal, 2007, 第 1 作者
(36) Solutions of perturbed Schr?dinger equations with critical nonlinearity., Solutions of perturbed Schr?dinger equations with critical nonlinearity.,  Calc. Var. Partial Differential Equations , 2007, 第 1 作者
(37) Homoclinic orbits for a nonperiodic Hamiltonian system. , Homoclinic orbits for a nonperiodic Hamiltonian system. , J. Differential Equations , 2007, 第 1 作者
(38) Bound states for semilinear Schr?dinger equations with sign-changing potential. , Bound states for semilinear Schr?dinger equations with sign-changing potential. , Calc. Var. Partial Differential Equations , 2007, 第 1 作者
(39) Multiple homoclinics in a Hamiltonian system with asymptotically or super linear terms, Multiple homoclinics in a Hamiltonian system with asymptotically or super linear terms, Commun. Contemp. Math., 2006, 第 1 作者
(40) Deformation theorems on non-metrizable vector spaces and applications to critical point theory, Deformation theorems on non-metrizable vector spaces and applications to critical point theory, Math. Nachr., 2006, 第 2 作者
(41) Solutions of nonlinear Dirac equations., Solutions of nonlinear Dirac equations., J. Differential Equations , 2006, 第 2 作者
(42) Multiple solutions of Schr?dinger equations with indefinite linear part and super or asymptotically linear terms. , Multiple solutions of Schr?dinger equations with indefinite linear part and super or asymptotically linear terms. ,  J. Differential Equations, 2006, 第 1 作者
(43) Deformation in locally convex topological linear spaces. , Deformation in locally convex topological linear spaces. , Sci. China Ser. A, 2004, 第 1 作者
(44) Positive solutions of a Schr?dinger equation with critical nonlinearity. , Positive solutions of a Schr?dinger equation with critical nonlinearity. , Z. Angew. Math. Phys, 2004, 第 2 作者
(45) Multiple solutions for a class of nonlinear Schr?dinger equations, Multiple solutions for a class of nonlinear Schr?dinger equations, J. Differential Equations , 2004, 第 1 作者
(46) Multiplicity of positive solutions of a nonlinear Schr?dinger equation., Multiplicity of positive solutions of a nonlinear Schr?dinger equation., Manuscripta Math., 2003, 第 1 作者
(47) Strongly indefinite functionals and multiple solutions of elliptic systems., Strongly indefinite functionals and multiple solutions of elliptic systems.,  Trans. Amer. Math. Soc. , 2003, 第 2 作者
(48) Homoclinic solutions of an infinite-dimensional Hamiltonian system., Homoclinic solutions of an infinite-dimensional Hamiltonian system.,  Math. Z. , 2002, 第 2 作者
(49) Solutions to a class of Schr?dinger equations, Solutions to a class of Schr?dinger equations, Proc. Amer. Math. Soc., 2002, 第 1 作者
(50) Periodic solutions of Hamiltonian systems, Periodic solutions of Hamiltonian systems, SIAM J. Math. Anal. , 2000, 第 1 作者
(51) Homoclinic orbits of a Hamiltonian system, Homoclinic orbits of a Hamiltonian system, Z. Angew. Math. Phys., 1999, 第 1 作者
(52) Periodic solutions of a wave equation with concave and convex nonlinearities., Periodic solutions of a wave equation with concave and convex nonlinearities., J. Differential Equations , 1999, 第 2 作者
(53) On a nonlinear Schr?dinger equation with periodic potential. , On a nonlinear Schr?dinger equation with periodic potential. , Math. Ann., 1999, 第 2 作者
(54) Periodic solutions of symmetric wave equations., Periodic solutions of symmetric wave equations., J. Differential Equations , 1998, 第 1 作者
(55) Some existence results of solutions for the semilinear elliptic equations on ${\bf R}^N$RN, Some existence results of solutions for the semilinear elliptic equations on ${\bf R}^N$RN, J. Differential Equations , 1995, 第 1 作者
发表著作
( 1 ) Variational Methods for Strongly Indefinite Problems, Variational Methods for Strongly Indefinite Problems, World Scientific Publishing, 2007-08, 第 1 作者

科研活动

   
科研项目
( 1 ) 非线性变分理论的若干前沿课题, 主持, 国家级, 2009-01--2012-12
( 2 ) 现代变分理论的若干问题研究, 主持, 国家级, 2014-01--2018-12
参与会议
   

合作情况

   
项目协作单位
   

指导学生