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


教授课程数学分析
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）Multiplicity and concentration for Kirchhoff type equations around topologically critical points in potential,Topol. Methods Nonlinear Anal.,2019-11,第2作者
（2）Existence and Concentration for Kirchhoff Type Equations around Topologically Critical Points of the Potential,Topol. Methods Nonlinear Anal.,2019-11,第1作者
（3）Homoclinic solutions for an anomalous diffusion system,J. Math. Anal. Appl.,2018-11,第1作者
（4）Periodic solutions of an asymptotically linear Dirac equation.,Ann. Mat. Pura Appl. (4),2017,第1作者
（5）Multiplicity of semiclassical solutions to nonlinear Schr?dinger equations.,J. Fixed Point Theory Appl. 19 (2017), no. 1,,2017,第1作者
（6）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
（7）强不定问题的变分方法,中国科学,2017,第1作者
（8）Bifurcation on compact spin manifold,Calc. Var. Partial Differential Equations,2016,第1作者
（9）On multiplicity of semi-classical solutions to a nonlinear Maxwell-Dirac system.,J. Differential Equations,2016,第1作者
（10）CONCENTRATING PATTERNS OF REACTION-DIFFUSION,Trans. Amer. Math. Soc.,2016,第1作者
（11）Periodic solutions of a Dirac equation with concave and convex nonlinearities,J. Differential Equations,2015,第1作者
（12）Localized concentration of semi-classical states for nonlinear Dirac equations,Arch. Ration. Mech. Anal.,2015,第1作者
（13）Semiclassical limits of ground state solutions to Schr?dinger systems,Calc. Var. Partial Differential Equations,2014,第1作者
（14）On semi-classical limits of ground states of a nonlinear Maxwell-Dirac system.,Calc. Var. Partial Differential Equations,2014,第1作者
（15）Periodic waves of nonlinear Dirac equations.,Nonlinear Anal,2014,第1作者
（16）Existence of semiclassical states for a coupled Schr?dinger system with potentials and nonlocal nonlinearities.,Z. Angew. Math. Phys.,2014,第3作者
（17）On the concentration of semi-classical states for a nonlinear Dirac-Klein-Gordon system.,J. Differential Equations,2014,第1作者
（18）On the concentration of semi-classical states for a nonlinear Dirac-Klein-Gordon system.,J. Differential Equations,2014,第1作者
（19）Existence of semiclassical states for a quasilinear Schr?dinger equation with critical exponent in RN.,Ann. Mat. Pura Appl,2013,第2作者
（20）Semiclassical solutions of Schr?dinger equations with magnetic fields and critical nonlinearities,Manuscripta Math.,2013,第1作者
（21）Existence of solutions for singularly perturbed Schr?dinger equations with nonlocal part.,Commun. Pure Appl. Anal.,2013,第2作者
（22）Existence and multiplicity of semiclassical states for a quasilinear Schr?dinger equation in RN.,Commun. Pure Appl. Anal.,2013,第2作者
（23）Semi-classical limits of ground states of a nonlinear Dirac equation ,J. Differential Equations,2012,第1作者
（24）Existence and concentration of semiclassical solutions for Dirac equations with critical nonlinearities.,SIAM J. Math. Anal.,2012,第1作者
（25）On semiclassical ground states of a nonlinear Dirac equation.,Rev. Math. Phys.,2012,第1作者
（26）Stationary states for nonlinear Dirac equations with superlinear nonlinearities.,Topol. Methods Nonlinear Anal.,2012,第2作者
（27）Semiclassical solutions of Schr？dinger equations with magnetic fields and critical nonlinearities ,Manuscripta Mathematica,2012,第1作者
（28）Existence of semiclassical states for a quasilinear Schr？dinger equation with critical exponent in R^N,Annali di Matematica,2012,第2作者
（29）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
（30）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
（31）Homoclinic orbits of first order discrete Hamiltonian systems with super linear terms,SCIENCE CHINA Mathematics,2011,第3作者
（32）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
（33）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
（34）A note on superlinear Hamiltonian elliptic systems,A note on superlinear Hamiltonian elliptic systems,J. Math. Phys,2009,第3作者
（35）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
（36）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
（37）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
（38）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
（39）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
（40）Homoclinic orbits for a nonperiodic Hamiltonian system. ,Homoclinic orbits for a nonperiodic Hamiltonian system. ,J. Differential Equations ,2007,第1作者
（41）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
（42）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
（43）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
（44）Solutions of nonlinear Dirac equations.,Solutions of nonlinear Dirac equations.,J. Differential Equations ,2006,第2作者
（45）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
（46）Deformation in locally convex topological linear spaces. ,Deformation in locally convex topological linear spaces. ,Sci. China Ser. A,2004,第1作者
（47）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
（48）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
（49）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
（50）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
（51）Homoclinic solutions of an infinite-dimensional Hamiltonian system.,Homoclinic solutions of an infinite-dimensional Hamiltonian system., Math. Z. ,2002,第2作者
（52）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
（53）Periodic solutions of Hamiltonian systems,Periodic solutions of Hamiltonian systems,SIAM J. Math. Anal. ,2000,第1作者
（54）Homoclinic orbits of a Hamiltonian system,Homoclinic orbits of a Hamiltonian system,Z. Angew. Math. Phys.,1999,第1作者
（55）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
（56）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
（57）Periodic solutions of symmetric wave equations.,Periodic solutions of symmetric wave equations.,J. Differential Equations ,1998,第1作者
（58）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
（ 3 ） 变分方法与Dirac系统, 参与,国家级,2016-02--2019-12
（ 4 ） 强不定变分理论在非线性Dirac方程中的应用, 参与,国家级,2019-02--2023-01

参与会议

合作情况
项目协作单位

指导学生