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江苏师范大学数学与统计学院导师教师师资介绍简介-吕中学

本站小编 Free考研考试/2021-03-28





吕中学,江苏师范大学数学与统计学院教授、博士、硕士生导师,江苏省“青蓝工程”中青年学术带头人、江苏省教学委员会常务理事。先后到美国、台湾等境外高校访问研究。主要从事非线性Schr?dinger方程组、积分方程组以及自由不连续问题的研究。在Pacific Journal of Mathematics、Disc. & Cont. Dynamics Sys.、Nonlinear Anal.等数学杂志上发表SCI论文40余篇。先后主持国家自然科学基金项目和省部级项目3项,指导研究生和本科生论文获江苏省优秀论文奖多项。



研究领域:
非线性Schr?dinger方程组
积分方程组
自由不连续问题


主持的基金项目:

国家自然科学基金(**):几个非线性 Schrodinger 方程组模型及相关问题研究

江苏省自然科学基金(BK**):多组份非线性Schrodinger方程组及其在Bose-Einstein 凝聚中的应用

江苏省高校自然科学基金 (07KJD110206):信息和材料科学中的自由不连续问题研究


发表论文

1.Lü, Yingshu;Lü, Zhongxue,Some properties of solutions to the weighted Hardy-Littlewood-Sobolev type integral system.Discrete Contin. Dyn. Syst.36(2016),no. 7,3791–3810.SCI
2.Chen, Wu;Lü, Zhongxue,Existence and nonexistence of positive solutions to an integral system involving Wolff potential.Commun. Pure Appl. Anal.15(2016),no. 2,385–398. SCI
3.Fang, Guo-bei;Lü, Zhong-xue,Existence and uniqueness of positive solutions to three coupled nonlinear Schr?dinge requations.Acta Math. Appl. Sin. Engl.Ser.31(2015),no.4, 1021–1032.SCI
4.Yin, Hui;Lü, Zhongxue,Positive solutions to integral systems with weight and Bessel potentials.J. Math. Anal.Appl.418(2014),no. 1, 264–282. SCI
5.Lü, Zhongxue;Liu, Zuhan;Qiu, ZhijingNecessary conditions and sufficient conditions for global existence for two-components nonlinear Schr?dinger equations in the super critical case.J. Math. Anal.Appl.413(2014),no.2,752–762.SCI
6.Chen, Huan;Lü, Zhongxue,The properties of positive solutions to an integral system involving Wolff potential.Discrete Contin.Dyn. Syst.34(2014),no.5,1879–1904. SCI
7.Chen, Huan;Lü, Zhongxue,Positive solutions to involving Wolff potentials.Commun. Pure Appl. Anal.13(2014),no.2,773–788. SCI
8.Lü, Zhongxue;Liu, Zuhan,Note on the ground states of two-component Bose-Einstein condensates with an internal atomic Josephson junction.Bull. Korean Math. Soc.50(2013),no. 5, 1441 –1450.SCI
9.Lei, Yutian;Lü, Zhongxue,Axisymmetry oflocally bounded solutions to an Euler-Lagrange system of the weightedHardy-Littlewood-Sobolev inequality.Discrete Contin. Dyn. Syst.33(2013),no.5,1987–2005.SCI
10.Luo, Wei;Lü, Zhongxue;Liu, Zuhan,On the groundstate of spin-1 Bose-Einstein condensates with an external Ioffe-Pitchardmagnetic field.Bull. Aust. Math. Soc.86(2012),no. 3,356–369. SCI
11.Lü, Zhong-Xue;Liu, Zuhan;Yao, Changcheng,L2-concentration of blow-up solutions for two-couplednonlinear Schr?dinger equations with harmonic potential.Indian J. Pure Appl. Math.43(2012),
no.1,49–70. SCI
12.Zhang, Shan; Liu, Zuhan; Lü, Zhongxue, Local well-posedness for the nonlinear Schr?dinger equation with harmonic potentialin Hs. Bull. Korean Math. Soc.48 (2011),no. 6, 1291–1302. SCI
13.Lü,Zhongxue; Liu, Zuhan, Sharp thresholds of Bose-Einstein condensates with anangular momentum rotational term. J. Appl. Math. Inform.29 (2011), no. 3-4, 901–908. SCI
14.Lü, Zhongxue; Liu, Zuhan, L2-concentrationof blow-up solutions for two-coupled nonlinear Schr?dinger equations. J.Math. Anal. Appl.380 (2011), no. 2, 531–539. SCI
15.Lü Zhongxue; Gao Youcai;Wei Yuxiang, Note on the Carleman's inequality and Hardy'sinequality. Comput. Math. Appl.59 (2010), no. 1,94–97. SCI
16.Lü Zhongxue;Liu Zuhan, Sharp thresholds of two-components Bose-Einstein condensates. Comput.Math. Appl.58 (2009), no. 8,1608–1614. SCI
17.Lü, Zhong-Xue; Yang, Xiao-Ping,Existence of free discontinuity problems in SBD(Ω). Nonlinear Anal.71 (2009), no. 1-2, 332–340. SCI
18.Lü,Zhongxue, On sharp inequalities of Simpson type and Ostrowski type in twoindependent variables. Comput. Math. Appl.56 (2008), no. 8,2043–2047. SCI
19.Lü, Zhongxue; Yang,Xiaoping, A relaxation result of functionals in the space SBD(Ω). ActaMath. Sci. Ser. B Engl. Ed.28 (2008), no. 4, 770–778. SCI
20.Lü, Zhong-xue; Yang,Xiao-ping; Zheng, Min-ling, A lowersemicontinuity result for some integral functionals in the space SBD. ActaMath. Appl. Sin. Engl. Ser.24 (2008), no. 2, 297–304. SCI















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