Prof. Lv, master supervisor, is the young academic leader of The Innovative Project of Jiangsu Province and the executive director of Jiangsu Mathematics T&R Association. He has been engaged in research on nonlinearSchrödingerequation set, integral equation set and free discontinuity problems. He has published over 40 papers in Pacific J. Math.，Discrete Contin. Dyn. Syst., Nonlinear Anal., J. Math. Anal. Appl. and other famous international academic journals. Lv has successfully hosted many fund projects on natural science above collegiate levels. In the past five years, he has taught Mathematics Analysis, Introduction to Partial Differential Equations and Second-order Elliptic Equations for both undergraduates and graduate students. Eighteen out of twenty-one of his total graduate students have graduated during the recent years.
Research Interests
Nonlinear Partial Differential Equation.
Educational Background
PhD, Nanjing University of Science and Technology, 2003;
MA, Harbin Institute of Technology, 1998;
BA, Qiqihar University, 1988;
Research Projects in Recent Years
1. National Natural Science Fund Project (No. 11271166): Study on NonlinearSchrödinger Equation Set Model and Related Problems. 2013-2016.
2. Jiangsu Natural Science Project: NonlinearSchrödinger Equation and Its Application of Bose-Einstein Condensation. 2010-2013.
3. Jiangsu Institutes of Higher Learning Natural Science Project: Free Discontinuity Problems in Information and Material Science. 2007-2009.
Selected Publications
1. Cheng Chunxia, Lv Yingshu, Lv Zhongxue. (2017). A direct method of moving planes for the system of the fractional Laplacian. Pacific J. Math,290 (2),301-320.
2. Lv Yingshu, Lv Zhongxue.(2016).Some properties of solutions to the weightedHardy-Littlewood-Sobolev type integral system. Discrete Contin. Dyn. Syst.,36 (7),3791-3810.
3. ChenWu, Lv Zhongxue.(2016). Existence and nonexistence of positive solutions to an integral system involving Wolff potential. Commun. Pure Appl. Anal.,15 (2),385-398.
4. Fang Guobei, Lv Zhongxue. (2015). Existence and uniqueness of positive solutions to three coupled nonlinear Schrödinger equations.Acta Math.Appl.Sin. Engl. Ser.,31 (4),1021-1032.
5. Lv Zhongxue, YinHui. (2014).Positive solutions to integral systems with weight and Bessel potentials.J. Math. Anal.Appl., 418 (1), 264-282.
6.LiuZuhan, Lv Zhongxue,Qiu Zhijing. (2014).Necessary conditions and sufficient conditions for global existence for two-components nonlinear Schrödinger equations in the super critical case. J. Math. Anal. Appl., 413(2), 752-762.
7. ChenHuan,Lv Zhongxue. (2014). The properties of positive solutions to an integral system involving Wolff potential.Discrete Contin. Dyn. Syst., 34 (5), 1879-1904.
8. Chen Huan,Lv Zhongxue. (2014). Positive solutions to involving Wolff potentials. Commun. Pure Appl. Anal., 13 (2), 773-788.
9. Liu Zuhan,Lv Zhongxue. (2013). Note on the ground states of two-component Bose-Einstein condensates with an internal atomic Josephson junction. Bull. Korean Math. Soc.,50 (5), 1441-1450.
10.Lei Yutian,Lv Zhongxue. (2013). Axisymmetry of locally bounded solutions to an Euler-Lagrange system of the weighted Hardy-Littlewood-Sobolev inequality. Discrete Contin. Dyn. Syst., 33(5), 1987-2005.
11.LiuZuhan, Luo Wei,Lv Zhongxue. (2012). On the ground state of spin-1 Bose-Einstein condensates with an external Ioffe-Pitchard magnetic field. Bull. Aust. Math. Soc., 86 (3), 356-369.
12.LiuZuhan, Lv Zhongxue, YaoChangcheng. (2012). L2-concentration of blow-up solutions for two-coupled nonlinear Schrödinger equations with harmonic potential. Indian J. Pure Appl. Math., 43 (1), 49-70.
Honors and Awards
Outstanding Young Teacher of Jiangsu Innovative Project. 2004;
Academic Leader of Jiangsu Innovative Project. 2012;
Outstanding Supervisor of Undergraduates’ Thesis. 2009-2014;
Outstanding Supervisor of Graduates’ Thesis. 2014.
Contact Information
Email: lvzhongxue@jsnu.edu.cn