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个人简介

1982-1992年就读山东大学数学系,获学士、硕士和博士学位。1992-1997年青岛大学工作,历任讲师和副教授;1997年至今大连理工大学应用数学系(现数学科学学院)工作,历任副教授和教授(博导)。 曾应邀访问过中科院数学与系统科学研究院应用数学研究所(3个月)、维也纳技术大学应用数学研究所(1年)、北京大学数学科学学院(5个月,并同时任教光华管理学院+元培本科生线性代数一学期)、威斯康星大学麦迪逊分校(1年)数学系(访问P.H.Rabinowitz院士)等. 获首届青岛市青年科技奖、辽宁省自然科学学术成果二等奖以及大连理工大学本科优秀教学成果奖等奖励,入选辽宁省百千万人才工程第二批. 工作经历 1997.9至今 大连理工大学高校教师 1992.91997.9 青岛大学高校教师

研究领域

变分方法等及在偏微分方程(特别是量子力学中的薛定谔方程等)、Hamilton系统中应用,使用的方法主要包括变分方法、拓扑方法、无穷维Morse理论、集中紧性原理等

近期论文

查看导师最新文章 (温馨提示:请注意重名现象,建议点开原文通过作者单位确认)

韩志清.Nontrivial solutions to non-local problems with sublinear or superlinear nonlinearities[J],SN Partial Differential Equations and Applications,2021,1(5):1-29 Shen, Zupei,Han, Zhiqing.Existence of nontrivial solutions for a class of Kirchhoff equation with indefinite and 3-linea...[J],APPLIED MATHEMATICS LETTERS,2020,103 娄庆军,韩志清.Existence of Ground States for Fractional Kirchhoff Equations[J],Journal of Mathematical Research with Applications,2018,38(6):623-635 Lou, Qing-Jun,Han, Zhi-Qing.The Nehari manifold for the Schrodinger-Poisson systems with steep well potential[J],COMPLEX VARIABLES AND ELLIPTIC EQUATIONS,2019,64(4):586-605 Wang, Li-Li,Fang, Xiang-Dong,Han, Zhi-Qing.Existence of standing wave solutions for coupled quasilinear Schrodinger systems with critical ...[J],ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS,2017,12:1-23 Wang, Li-Li,Han, Zhi-Qing.Multiple small solutions for Kirchhoff equation with local sublinear nonlinearities[J],APPLIED MATHEMATICS LETTERS,2016,59:31-37 Wang, Li-Li,Han, Zhi-Qing.CRITICAL QUASILINEAR SCHRODINGER EQUATION WITH SIGN-CHANGING POTENTIAL[J],ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS,2016 Zhang, Chuanfang,Han, Zhiqing.Infinitely many homoclinic orbits for a class of second-order damped differential equations[J],MATHEMATICAL METHODS IN THE APPLIED SCIENCES,2015,38(18,SI):5048-5062 Shen, Zupei,Han, Zhiqing.Multiple solutions for a class of Schrodinger-Poisson system with indefinite nonlinearity[J],JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2015,426(2):839-854 Shen, Zupei,Han, Zhiqing.EXISTENCE OF SOLUTIONS TO QUASILINEAR SCHRODINGER EQUATIONS WITH INDEFINITE POTENTIAL[J],ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS,2015 Zhang, Chuan-Fang,Han, Zhi-Qing.HOMOCLINIC AND QUASI-HOMOCLINIC SOLUTIONS FOR DAMPED DIFFERENTIAL EQUATIONS[J],ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS,2015 Shen Z.,Han Z..Existence of solutions to quasilinear schr?dinger equations with indefinite potential[J],Electronic Journal of Differential Equations,2015,2015 Bao, Gui,Han, Zhiqing.Infinitely many solutions for a resonant sublinear Schrodinger equation[J],MATHEMATICAL METHODS IN THE APPLIED SCIENCES,2014,37(17):2811-2816 Fang, Xiang-dong,Han, Zhi-qing.Existence of a Ground State Solution for a Quasilinear Schrodinger Equation[J],ADVANCED NONLINEAR STUDIES,2014,14(4):941-950 Bao, Gui,Han, Zhi-Qing.EXISTENCE OF INFINITELY MANY RADIAL SOLUTIONS FOR QUASILINEAR SCHRODINGER EQUATIONS[J],ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS,2014 Fang, Xiang-Dong,Han, Zhi-Qing.Ground state solution and multiple solutions to asymptotically linear Schrodinger equations[J],BOUNDARY VALUE PROBLEMS,2014,2014(1):1-8 Fang, Xiang-Dong,Han, Zhi-Qing.EXISTENCE OF NONTRIVIAL SOLUTIONS FOR A QUASILINEAR SCHRODINGER EQUATIONS WITH SIGN-CHANGING PO...[J],ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS,2014,2014 Bao, Gui,Han, Zhiqing,Yang, Minghai.MULTIPLICITY OF HOMOCLINIC SOLUTIONS FOR SECOND-ORDER HAMILTONIAN SYSTEMS[J],ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS,2013,2013 Han, Zhi-Qing,Wang, Su-Qin.Multiple solutions for nonlinear systems with gyroscopic terms[J],NONLINEAR ANALYSIS-THEORY METHODS APPLICATIONS,2012,75(15):5756-5764 Yang, Ming-Hai,Han, Zhi-Qing.Existence and multiplicity results for the nonlinear Schrodinger-Poisson systems[J],NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS,2012,13(3):1093-1101 Yang, Ming-Hai,Han, Zhi-Qing.Existence and multiplicity results for Kirchhoff type problems with four-superlinear potentials[J],APPLICABLE ANALYSIS,2012,91(11):2045-2055 韩志清.Existence and multiplicity results for the nonlinear Schrdinger-Poisson systems[J],Nonlinear Anal. Real World Appl.,2012,13(2):1093-1101 Yang, Ming-Hai,Han, Zhi-Qing.The existence of homoclinic solutions for second-order Hamiltonian systems with periodic potent...[J],NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS,2011,12(5):2742-2751 Han, Zhiqing.Periodic solutions to second order nonautonomous differential systems with unbounded nonlineari...[J],MATHEMATISCHE NACHRICHTEN,2011,284(13):1669-1677 Han, Zhiqing,Wang, Suqin,Yang, Minghai.Periodic solutions to second order nonautonomous differential systems with gyroscopic forces[J],APPLIED MATHEMATICS LETTERS,2011,24(8):1343-1346 Yang, Ming-Hai,Han, Zhi-Qing.Infinitely many homoclinic solutions for second-order Hamiltonian systems with odd nonlineariti...[J],NONLINEAR ANALYSIS-THEORY METHODS APPLICATIONS,2011,74(7):2635-2646 Han, Zhiqing.Solutions of periodic boundary value problems for second-order nonlinear differential equations...[J],APPLIED MATHEMATICS AND COMPUTATION,2011,217(14):6516-6525 Han, Zhiqing,Wang, Suqin.MIXED TWO-POINT BOUNDARY-VALUE PROBLEMS FOR IMPULSIVE DIFFERENTIAL EQUATIONS[J],ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS,2011,2011:1-14 韩志清.Infinitely many homoclinic solutions for second-order Hamiltonian systems with odd nonlinearities...[J],Nonlinear Anal.,2011,74(7):2635-2646 韩志清.Solutions of periodic boundary value problems for second-order nonlinear differential equations v...[J],Appl. Math. Comput.,2011,217(14):6516-6525 韩志清.Existence of Periodic Solutions of Linear Hamiltonian Systems[J],Boundary Value Problems(SCI),2010,0(945421):1-12 Han, Zhiqing.Existence of Periodic Solutions of Linear Hamiltonian Systems with Sublinear Perturbation[J],BOUNDARY VALUE PROBLEMS,2010,2010 Han, Zhi-Qing.Computations of critical groups and applications to some differential equations at resonance[J],NONLINEAR ANALYSIS-THEORY METHODS APPLICATIONS,2007,67(6):1847-1860 Han, Zhi-Qing.Computations of cohomology groups and nontrivial periodic solutions of Hamiltonian systems[J],JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2007,330(1):259-275 Han, ZQ.Fixed point index and solutions of differential equations in Banach spaces[J],INDIAN JOURNAL OF PURE APPLIED MATHEMATICS,2004,35(11):1255-1264 Han, ZQ.Solvability of nonlinear ordinary differential equation when its associated linear equation has...[J],TAIWANESE JOURNAL OF MATHEMATICS,2004,8(3):503-513 Han, ZQ.Nontrivial solutions of a semilinear elliptic problem via variational methods[J],BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY,2004,69(2):267-275 Han, ZQ.Coincidence degree and nontrivial solutions of elliptic boundary value problems at resonance[J],NONLINEAR ANALYSIS-THEORY METHODS APPLICATIONS,2004,56(5):739-750 Han, ZQ.Solvability of nonlinear elliptic boundary value problem via its associated linear problem[J],JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2004,290(1):21-34 Han, ZQ.Solvability of elliptic boundary value problems without standard Landesman-Lazer condition[J],ACTA MATHEMATICA SINICA-ENGLISH SERIES,2000,16(2):349-360 韩志清.共振条件下的常微分方程组2pi-周期解的存在性[J],数学学报,2000,43(4):639 韩志清.体锥与满足角性质锥之间的关系[J],系统科学与数学,1998,18(1):18 韩志清.共振下椭圆偏微分方程边值问题的可解性:无标准Landesman-Lazer条件情形[J],数学学报,1998,41(6):1315 韩志清.全连续弱内向映象的不动点指数及多重不动点定理[J],系统科学与数学,1998,18(2):230

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