Jun Wang-数学科学学院

Name：Jun Wang

Title: Professor, Ph.D Supervisor

Research Fields & Orientations：

Nonlinear Partial Differential Equations, Variational Methods, Bifurcation theory and its application, Mathematical physic model, Dynamic game theory and its application

Postgraduate Enrollment Specialty：

Mathematics, Control Science and Engineering

Telephone：0511-88780759

E-mail: wangmath2011@126.com & wangj2011@ujs.edu.cn

Address： Xue Fu Road 301, Zhenjiang, Jiangsu university 212013

Education and Academic Positions:

● April 2018-Now, Professor in Jiangsu University,
● 2013-2014, 2018-2019: Senior Visiting Scholar, Department of Mathematics, College William & Mary, USA. Advisers: Professor Junping Shi
● October 2015-Jan 2016, April-May 2016, Post-doctoral, China National Taiwan University, China Taiwan. Adviser: Professor Chang-Shou Lin
● June 2015-July 2015: Senior Visiting Scholar, Chinese Academy of Science, China. Advisers: Professor Zhitao Zhang
● June 2012-July 2012: Senior Visiting Scholar, Chern Institute of Mathematics, Nankai University, China. Advisers: Professor Zhi-Qiang Wang
● July 2014-April 2018, Associate Professor in Jiangsu University, China.
● May 2011-June 2014, Assistant Professor in Jiangsu University, China.
● Ph.D in Mathematics, Southeast University, China, September 2008-May 2011, Advisers: Professor Xu Junxiang
● M. S. in Mathematics, Southeast University, China, September 2006-June 2008Advisers: Professor Fubao Zhang
● Undergraduate in Mathematics, Jishou University, China, September 2002- June 2006

Part-time Academic and Social Work:

● 2019/06－Now，Director of Jiangsu Mathematics Society
● 2016/12－Now，《Math Review》of American Mathematics Society
● 2020/10－Now，Reviewer of《zbMATH》
● 2019/06－Now, Director of Jiangsu Systems Engineering Association

Teaching Courses：

● Functional Analysis and its applications（Ph.D Student）
● Equations of Mathematical Physics, Functional analysis
● Real Analysis; ODE; Linear Algebra; Advanced Mathematics

Research Grants：

● Research on the existence and properties of solutions in several types of nonlinear variational problems, January 2024-December 2027, NNSFC, 435,000 Chinese Yuan. (PI: J. Wang,)
● Research on Variation methods and Yang-Mills equation, December 2022-December 2027, National Key R&D Program of China, 650,000 Chinese Yuan. (PI: J. Wang)
● Research on the existence of solutions and orbital stability for several classes of Nonlinear Elliptic Equations, January 2020-December 2023, National Natural Science Foundation of China, 620,000 Chinese Yuan.(PI: J. Wang, co-PI:J.-P. Shi)
● Research on the properties of positive solutions of Some Nonlinear Elliptic Equations with variational structure, 1,000,000 Chinese Yuan(PI: J. Wang)
● Research on some problems of several types of elliptic equations in whole space, January 2016-December 2019, National Natural Science Foundation of China, 650,000 Chinese Yuan.(PI: J. Wang, co-PI: X. Xu, F. Zhang)
● Research on traveling wave solutions and vortex solutions of Schrodinger equations in optical fiber propagation, November 2017-October 2020, No: XYDXX-015, Six talent peaks project in Jiangsu Province, 40,000 Chinese Yuan.(PI: J. Wang)
● Research on the existence of solutions to nonlinear elliptic equations, January 2016-December 2019, No: BK20160063, National Natural Science Foundation of Jiangsu Province, 500,000 Chinese Yuan.(PI: J. Wang)
● Research on some problems of elliptic equations with critical growth, January 2013-December 2015, No: 11201186, National Natural Science Foundation of China, 230,000 Chinese Yuan.(PI: J. Wang, co-PI: C. Shen, H. Ni, W. Chen)
● Research on the existence of ground state solutions for nonlinear elliptic equations, January 2013-December 2015, No: BK2012282, Natural Science Foundation of Jiangsu Province , 200,000 Chinese Yuan.(PI: J. Wang, co-PI: H. Wu, C. Shen, W. Chen).
● Research on the existence of ground state solutions for Semiclassical nonlinear elliptic equations, July 2013-July 2015, China Postdoctoral Science Special Foundation funded project,No: 2013T60499, 150,000 Chinese Yuan.(PI: J. Wang)

Selected Academic Publications:

● A. Jevnikar, J. Wang, W. Yang, Liouville type theorems and periodic solutions for the nonhomogeneous parabolic systems, Z. Angew. Math. Phys., 74 (2023), no. 4, Paper No. 145, 29 pp.
● J. Wang, H. Zhou, Existence and multiplicity of normalized solution for the coupled elliptic system with quadratic nonlinearity, J. Geom. Anal., 33 (2023), no. 8, Paper No. 244, 44 pp.
● J.-P. Shi, J. Wang, Standing waves of coupled Schrödinger equations with quadratic interactions from Raman amplification in a plasma, Ann. Henri Poincaré, 24 (2023), no. 6, 1923–1970.
● Q.-P. Geng, Y.-Y. Tu, J. Wang, Existence and multiplicity of the positive normalized solutions to the coupled Hartree-Fock type nonlocal elliptic system, J. Fixed Point Theory Appl., 24 (2022), no. 4, Paper No. 83, 31 pp.
● Q.-P. Geng, Y.-Y Dong, J. Wang, Existence and multiplicity of nontrivial solutions of weakly coupled nonlinear Hartree type elliptic system, Z. Angew. Math. Phys., 73 (2022), no. 2, Paper No. 72, 25 pp.
● H.-Y. Huang, J. Wang, W. Yang, Mean field equation and relativistic Abelian Chern-Simons model on finite graphs, J. Funct. Anal., 281 (2021), no. 10, Paper No. 109218
● J. Wang, Existence of normalized solutions for the coupled Hartree-Fock type system, Math. Nachr., 294 (2021), no. 10, 1987–2020.
● F. Qin, J. Wang, J. Yang, Infinitely many positive solutions for Schrödinger -Poisson systems with nonsymmetry potentials, Discrete Contin. Dyn. Syst., 41 (2021) , 4705-4736.
● J. Xu, Q. Li, J. Wang, Response solutions of 3-dimensional degenerate quasi-periodic systems with small parameter, Journal of Differential Equations, 293 (2021), 188–225.
● J. Wang, J.-X. Xu, Existence of Positive and Sign-Changing Solutions to a Coupled Elliptic System with Mixed Nonlinearity Growth, Ann. Henri Poincare, 21 (2020), 2815–2860
● Q.-P. Geng, M. Liao, J. Wang, Existence and bifurcation of nontrivial solutions for the coupled nonlinear Schrodinger-Korteweg-de Vries system, Z. Angew. Math. Phys., (2020) 71:33
● J. Wang, Z.-A. Wang, W. Yang, Uniqueness and convergence on equilibria of the Keller-Segel system with subcritical mass, Communications in Partial Differential Equations (2019), 2019, VOL. 44, NO. 7, 545–572.
● J. Wang, Q.-P. Geng, M.-C. Zhu, Existence of the normalized solutions to the nonlocal elliptic system with partial confinement, Discrete Contin. Dyn. Syst., 39 (2019) 1-15.
● M. Du, L.-X. Tian, J. Wang, F. Zhang, Existence of normalized solutions for nonlinear fractional Schrodinger equations with trapping potentials, Proc. Roy. Soc. Edinburgh Sect. A, 149 (2019), 617-653.
● J. Wang, W. Yang, Normalized solutions and asymptotical behavior of minimizer for the coupled Hartree equations, Journal of Differential Equations, 265 (2018), 501-544.
● J. Wang, Solitary waves for coupled nonlinear elliptic system with nonhomogeneous nonlinearities, Calc. Var. Partial Differential Equations, 56 (2017), no. 2, Paper No. 38.
● K. Pereraa, C. Tintarev, J. Wang, Z.-T. Zhang, Ground and bound state solutions for a Schrodinger system with linear and nonlinear coulpings in R^N. Advances in Differential Equations 23(2018), 615-648.
● J. Wang, J.-P. Shi, Standing waves for a coupled nonlinear Hartree equations with nonlocal interaction, Calc. Var. Partial Differential Equations, (2017) 56:168
● J. Wang, Z.-S. Feng, Multiple nontrivial solutions for a class of nonlinear Schrodinger equations with linear coupling, Dyn. Partial Differ. Equ., Vol.14, No.2, 159-200, 2017.
● G.-W. Dai, J. Wang, Nodal solutions to problem with mean curvature operator in Minkowski space, Differential and Integral Equations, 30, Nmbers 5-6 (2017), 463-480.
● X.-F. Cao, J.-X. Xu, J. Wang, The existence of solutions with prescribed L^2-norm for Kirchhoff type system, J. of Mathematical Physics 58, 041502 (2017).
● J. Wang, J.-P. Shi, Standing waves of a weakly coupled Schrodinger system with distinct potential functions, J. Differential Equations, 260 (2016) 1830-1864.
● J. Wang, L.-X. Tian, J.-X. Xu, F. Zhang, Existence of multiple positive solutions for Schrodinger-Poisson systems with critical growth, Z. Angew. Math. Phys. 66 (2015), 2441-2471.
● J. Wang, D.-C. Lu, J.-X. Xu, F.-B. Zhang, Multiple positive solutions for semilinear Schrodinger equations with critical growth in R^N. J. of Mathematical Physics 56, 041503 (2015)
● J. Wang, T.-Q. An, F.-B. Zhang, Positive solutions for a class of quasilinear problems with critical growth in R^N. Proc. Roy. Soc. Edinburgh Sect. A 145A, 1-34, 2015.
● J. Wang, J.-X. Xu, F.-B. Zhang, X. Chen, Existence of multi-bump solutions for a semilinear Schrodinger equation on RN. Nonlinearity 26 (2013) 1377-1399.
● J. Wang, L. Tian, J. Xu, F. Zhang, Existence and concentration of positive ground state solutions for semilinear Schrodinger-Poisson systems in R3. Calc. Var. Partial Differential Equations, 48 (2013) 243-273.（ESI高被引）
● J. Wang, L. Tian, J. Xu, F. Zhang, Existence and concentration of positive ground state solutions for semilinear Schrodinger-Poisson systems, Advanced Nonlinear Studies, 13 (2013), 553-582.
● J. Wang, L. Tian, J. Xu, F. Zhang, Multiplicity and concentration of positive solutions for a Kirchhoff type problem with critical growth. Journal Differential Equations, 253 (2012) 2314-2351. ( ESI高被引)
● J. Wang, J. Xu, F. Zhang, Existence of semiclassical ground state solutions for semilinear elliptic systems. Proc. Roy. Soc. Edinburgh Sect. A, 142A, 867-895, 2012.
● J. Wang, L. Tian, J. Xu, F. Zhang, Existence and nonexistence of the ground state solutions for nonlinear Schrodinger equations with nonperiodic nonlinearities, Math. Nachr., 285, No. 11-12, (2012) 1543-1562.

Honors & Awards：

● September 2020, Outstanding Young Foundation of Jiangsu Province, China
● January 2019, Second Prize of Excellent Achievements Award of Scientific Research in Colleges and Universities of the Ministry of Education（Second rank）
● October 2017, Six talent peaks project in Jiangsu Province, China
● May 2014 “Honorable Mention” in the annual China's 100 top Ph.D thesis.
● May 2012 Excellent Doctoral Dissertation of Jiangsu Province.