中国科学院数学与系统科学研究院丁彦恒 男 博导
作者：科大科院考研网 发表时间：2019-12-19 来源：研招办
科院考研推荐链接：
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
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 Schrödinger 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 Schrödinger 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 Schrödinger 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 Schrödinger equation with critical exponent in RN., Ann. Mat. Pura Appl, 2013, 第 2 作者
（20） Semiclassical solutions of Schrödinger equations with magnetic fields and critical nonlinearities, Manuscripta Math., 2013, 第 1 作者
（21） Existence of solutions for singularly perturbed Schrödinger equations with nonlocal part., Commun. Pure Appl. Anal., 2013, 第 2 作者
（22） Existence and multiplicity of semiclassical states for a quasilinear Schrödinger 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
（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 Schrödinger 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 Schrödinger 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 Schrödinger 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 Schrödinger equation with critical exponent in RN., Ann. Mat. Pura Appl, 2013, 第 2 作者
（20） Semiclassical solutions of Schrödinger equations with magnetic fields and critical nonlinearities, Manuscripta Math., 2013, 第 1 作者
（21） Existence of solutions for singularly perturbed Schrödinger equations with nonlocal part., Commun. Pure Appl. Anal., 2013, 第 2 作者
（22） Existence and multiplicity of semiclassical states for a quasilinear Schrödinger 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
