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吕中学

           


              


    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Schrödinger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Schrödinger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(11271166):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(BK2010172):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 Schrödinge 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, Zhijing Necessary conditions and sufficient conditions for global existence for two-components nonlinear Schrödinger 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 Schrödinger 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 Schrödinger 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 Schrödinger 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