唐春雷
从事Hamilton系统和椭圆共振问题的研究,综合运用变分方法,临界点理论和隐函数理论等多种非线性分析方法研究了二阶Hamilton系统的周期解和椭圆共振边值问题, 获得了一系列新的可解性条件和多重性结果
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- 姓名:唐春雷
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学术头衔:
博士生导师
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学科领域:
数学
- 研究兴趣:从事Hamilton系统和椭圆共振问题的研究,综合运用变分方法,临界点理论和隐函数理论等多种非线性分析方法研究了二阶Hamilton系统的周期解和椭圆共振边值问题, 获得了一系列新的可解性条件和多重性结果
唐春雷, 1987年6月获硕士学位;1999年7月晋升为教授;2001年11月被陕西师范大学聘为基础数学专业博士研究生指导教师。2002年7月被评为重庆市首批学术技术带头人;2004年被评为“重庆市首批高校中青年骨干教师”。现任重庆市数学会副理事长、重庆市科青联委员。主要从事Hamilton系统和椭圆共振问题的研究,综合运用变分方法,临界点理论和隐函数理论等多种非线性分析方法研究了二阶Hamilton系统的周期解和椭圆共振边值问题, 获得了一系列新的可解性条件和多重性结果。可解性条件包括次可加条件; 次凸条件; 局部强制条件;一类新的Landesman-Lazer型条件和次线性条件;在《Proc. Amer. Math.Soc.》,《J. Differential Equations》,《J. Math. Anal. Appl.》,《Nonlinear Anal.TMA.》及《数学学报(英文版)》等学术刊物上发表论文70余篇,其中有30多篇被SCI收录。主持国家自然科学基金项目(No.19871067;No.10471113)和教育部科学技术重点项目(No.02060),获得《教育部高等学校优秀青年教师教学科研奖励计划》的资助(教人司[2002]123号)。1999年7月被评为“重庆市高校优秀共产党员”;2002年4月获得第三届教育部“高校青年教师奖”;2002年12月获得第二届“重庆青年科技奖”。2003年,成果《泛函分析在微分方程中的应用》获重庆市自然科学二等奖(第一完成人)。
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成果数
20
【期刊论文】Periodic and Subharmonic Solutions of Second-order Hamiltonian Systems*
唐春雷, Zhu-Lian Tao, Chun-Lei Tang
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-1年11月30日
Some solvability conditions of periodic solutions and subharmonic solutions are obtained for a class of new superquadratic non-autonomous second order Hamiltonian Systems by the minimax methods in critical point theory.
generalized mountain pass theorem,, condition (, C), ,, superquadratic,, periodic solution,, subharmonic solution.,
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65浏览
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159下载
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【期刊论文】Periodic and subharmonic solutions of a class of superquadratic Hamiltonian systems*
唐春雷, Shang-Jie Chen, Chun-Lei Tang
,-0001,():
-1年11月30日
Periodic solutions and innitely distinct subharmonic solutions are obtained for a class of nonconvex and nonautonomous superquadratic Hamiltonian systems z=JHz(z; t) by using the minimax methods in critical point theory.
periodic solutions, subharmonic solutions, superquadratic Hamiltonian systems, the minimax method, the truncating argument, critical point
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41浏览
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130下载
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【期刊论文】Periodic and Subharmonic Solutions for a Class of Superquadratic Hamiltonian Systems*
唐春雷, Zeng-Qi Ou, Chun-Lei Tang
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-1年11月30日
Some existence theorems are obtained for periodic and subharmonic solutions of a class of su-perquadratic Hamiltonian systems by the minimax methods in critical point theory, specially, a local link theorem due to Li and Willem, and the Generalized Mountain Pass Theorem respectively.
periodic solutions, subharmonic solutions, Hamiltonian systems, the local link, the Generalized Mountain Pass Theorem,, the (, PS), *, condition, the (, C), condition
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45浏览
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112下载
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【期刊论文】Existence of Homoclinic Solution for the Second Order Hamiltonian Systems*
唐春雷, Zeng-Qi Ou, Chun-Lei Tang
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-1年11月30日
An existence theorem of homoclinic solution is obtained for a class of the nonautonomous second order Hamiltonian systems
homoclinic solution, second order Hamiltonian systems, the Generalized Mountain Pass Theorem, superquadratic potentials
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52浏览
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193下载
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【期刊论文】Existence and Multiplicity of Periodic Solutions
唐春雷, Chun-Lei Tang
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-1年11月30日
The existence and multiplicity of periodic solutions are obtained for the nonau-tonomous second order systems by using the classical theorems of variational calculus and Brezis-Nirenberg's three-critical-point theorem.
periodic solution,, second order system,, subadditive,, coercive,, Sobolev', s inequality,, critical point.,
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72浏览
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145下载
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【期刊论文】Multiplicity of Periodic Solutions for Second Order Systems with a Small Forcing Term
唐春雷, Chun-Lei Tang
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-1年11月30日
Some multiplicity results are obtained for periodic solutions of second order systems with a small forcing term by using the Implicit Function Theorem and the Morse theory.
periodic solution,, critical point,, coercivity,, the Implicit Function Theorem,, the Morse theory,, Sobolev', s inequality.,
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30浏览
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72下载
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【期刊论文】Solvability of Neumann Problem for Elliptic Equations at Resonance*
唐春雷, Chun-Lei Tang
,-0001,():
-1年11月30日
The existence results are obtained for solutions of the Neumann problem for non-linear elliptic equations at resonance with unbounded nonlinearities by the minimax methods.
Neumann problem,, resonance,, the Saddle Point Theo-rem,, critical point,, the Sobolev', s embedding theorem,, Poincare inequality
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39浏览
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115下载
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【期刊论文】Some Existence Theorems for the Sublinear Neumann Boundary Value Problem*
唐春雷, Chun-Lei Tang
,-0001,():
-1年11月30日
The existence results are obtained for solutions of the Neumann problem for sub-linear elliptic equations at resonance by the minimax methods.
Neumann problem,, resonance,, the Saddle Point Theo-rem,, critical point,, the Sobolev', s embedding theorem,, Poincar
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44浏览
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63下载
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【期刊论文】Multiple Solutions of Neumann Problem for Elliptic Equations*
唐春雷, Chun-Lei Tang
,-0001,():
-1年11月30日
The multiplicity results are obtained for solutions of the Neumann problem for nonlinear elliptic equations at resonance or nonresonance with unbounded nonlinearity by the reduction method and the critical point theory, in particular, a three-critical-point theorem proposed by Brezis-Nirenberg.
Neumann problem,, unbounded nonlinearity,, the re-duction method,, resonance,, the Sobolev', s inequality
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38浏览
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87下载
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【期刊论文】Solvability of Forced Dung Equation at Resonance
唐春雷, Chun-Lei Tang
,-0001,():
-1年11月30日
Some existence theorems are obtained for periodic solutions of the forced Dung equation at resonance by the minimax methods.
periodic solution,, Dung equation,, resonance,, the (, PS), condition,, the Saddle Point Theorem,, Wirtinger', s inequality,, Sobolev', s inequality.,
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55浏览
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80下载
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