Zhi-Qiang Wang Ph.D.
Mathematics and Statistics
Professor
Contact Information
Office Location: Animal Science (ANSC) 205Phone: (435) 797-3529
Email: zhi-qiang.wang@usu.edu
Additional Information:
Biography
Z.-Q. Wang graduated in 1982 from Jilin University China majoring in mathematics, and received his MS degree and PhD degree in mathematics from the Chinese Academy of Sciences, in 1984 and 1986, respectively. After post-doctoral training in Peking University and Courant Institute of New York University, and holding visiting positions at University of Utah and University of Wisconsin, he joined Utah State University in 1991 as an assistant professor. He was promoted to associated professor with tenure in 1994 and to full professor in 1998. He served from 1994-1997 as Director of Graduate Studies in Mathematics and Statistics at Utah State University. In 1998 and 2020 he was awarded Researcher of The Year in the College of Sciences at Utah State University. In 2020 he was awarded Utah State University Robins Award - the 2020 Faculty Researcher of the Year. He was elected a Fellow of American Mathematical Society 2015.
Teaching Interests
courses in calculus, real analysis, functional analysis, ordinary differential equations, partial differential equations, applied mathematics
Research Interests
Citations at AMS-MathSciNet:
https://mathscinet.ams.org/mathscinet/2006/mathscinet/search/author.html?mrauthid=239651
Citations at Google Scholar:
https://scholar.google.com/citations?hl=en&user=0F1CTOMAAAAJ
Nonlinear Functional Analysis
the calculus of variations
topological methods andbifurcations
critical point theory,
minimax methods and Morse theory
the best constants and extremal functions of Hardy-Sobolev typeinequalities
Nonlinear Partial Differential Equations
boundary value problems of nonlinear elliptic PDEs
the best constants and extremal functions of Hardy-Sobolev typeinequalities
nonlinear Schr\"odinger type equations from mathematical physics
qualitative properties of solutions such as symmetry, nodal and geometric properties
existence and stability of solitary waves
pattern formationsand phase transitionsin mathematical models
nonlinear ellipticequations from geometry
Lagrangian and Hamiltonian Systems of Ordinary DifferentialEquations
periodic orbits, connectingorbits, and invariant sets of flows
Numerical Algorithms for SolvingMultiple Saddle Type Solutions
Awards
Fellow of American Mathematical Society , 2015
American Mathematical Society
USU Robins Award - the 2020 Faculty Researcher of the Year, 2020
Utah State University
USU College of Science Researcher of the Year, 2020, 2020
College of Science, USU
USU Department of Mathematics and Statistics Researcher of the Year,, 2020
USU Department of Mathematics and Statistics
Highly Cited Researcher List, Clarivate Analytics, 2019, 2019
clarivate.com
Highly Cited Researcher List, Clarivate Analytics, 2018, 2018
clarivate.com
DAAD Guest Professorship, 2005
DAAD Germany
New Direction Visiting Professorship , 2004
Institute of Mathematics and Applications, University of Minnesota
Professor/Faculty of the Year, 2003
Utah State University Greek Council
DFG Visiting Professorship , 1998
DFG Germany
Researcher of The Year, 1998
Utah State University College of Sciences
Researcher of the year, 1998
Utah State University Dept of Math and Stat
Researcher of the year, 1995
Utah State University Dept of Math and Stat
Publications | Journal Articles
Academic Journal
- Liu, C., Nguyen, N.V, Tian, R., Wang, Z.Q, (2025). On the stability of solitary-wave and ground-state solutions for the generalized BBM equation. Physica Scripta, doi: 10.1088/1402-4896/ae3260
- Wang, Z.Q, Zhang, C., Zhang, Z., (2023). Multiple bump solutions to logarithmic scalar field equations.
- Zhang, L., Chen, J., Wang, Z.Q, (2023). Ground states for a quasilinear Schrdinger equation: mass critical and supercritical cases.
- Peng, S., Peng, Y., Wang, Z.Q, (2016). On elliptic systems with Sobolev critical growth.
- Byeon, J., Sato, Y., Wang, Z.Q, (2016). Pattern formation via mixed attractive and repulsive interactions for nonlinear Schrödinger systems.
- Liu, J., Liu, X., Wang, Z.Q, (2016). Sign-changing solutions for coupled nonlinear Schrödinger equations with critical growth.
- Chen, G., Ma, S., Wang, Z.Q, (2016). Standing waves for discrete Schrödinger equations in infinite lattices with saturable nonlinearities.
- L., Nguyen, N.V, Wang, Z.Q, (2016). Orbital stability of spatially synchronized solitary waves of an m-coupled nonlinear Schrodinger system. Journal of Mathematical Physics
- Nguyen, N.V, Wang, Z.Q, (2016). Existence and stability of a two-parameter family of solitary waves for a 2-coupled nonlinear Schrodinger system. Discrete and Continuous Dynamical System A., 36:2, 1005-1021. doi: doi: 10.3934/dcds.2016.36.1005.
- L., Nguyen, N.V, Wang, Z.Q, (2016). Existence and stability of solitary waves of an m-coupled nonlinear Schrodinger system. Journal of Mathematical Study, 49:2, 132-148. doi: doi: 10.4208/jms.v49n2.16.03
- Wang, Z.Q, (2015). Diagonals of Green's functions and applications.
- Wang, Z.Q, (2015). Ground states for nonlinear Schrodinger equations with a sign-changing potential well. Adv. Nonlinear Stud.
- Wang, Z.Q, (2015). Multiple positive solutions for Schrodinger systems with mixed couplings. Calc. Var. Partial Differential Equations
- Wang, Z.Q, (2015). Bifurcations for a coupled Schr\"odinger system with multiple components. Zeitschrift f\"ur Angewandte Mathematik und Physik
- Wang, Z.Q, (2015). Existence and stability of standing waves for coupled derivative Schrodinger equations. Journal of Mathematical Physics
- Wang, Z.Q, (2015). Multiple mixed states of nodal solutions for nonlinear Schr\"odinger systems.
- Wang, Z.Q, (2015). Multiple normalized solutions for quasi-linear Schrodinger equations. J. Differential Equations
- Wang, Z.Q, (2015). On Clark's theorem and its applications to partially sublinear problems. Ann. Inst. H. Poincar\'e Anal. Non Lin\'eaire
- Wang, Z.Q, (2015). Existence and multiple solutions for a critical quasilinear equation with singular potentials. NoDEA Nonlinear Differential Equations Appl.
- Wang, Z.Q, (2015). On the least energy sign-changing solutions for a nonlinear elliptic system.
- Wang, Z.Q, (2015). Least energy solutions for nonlinear Schrodinger systems with mixed attractive and repulsive couplings.
- Wang, Z.Q, (2014). Multiple solutions for quasilinear elliptic equations with a finite potential well.
- Nguyen, N.V, Wang, Z.Q, Tian, R., (2014). Stability of traveling-wave solutions for a Schrodinger system with power-type nonlinearities. . Electronic Journal of Differential Equations, 2014:217, 1-16.
- Wang, Z.Q, (2014). Nodal and multiple solutions of nonlinear problems involving the fractional Laplacian.
- Wang, Z.Q, (2014). Multiple sign-changing solutions for quasilinear elliptic equations via perturbation method.
- Wang, Z.Q, W., (2014). Partial Symmetry Of Vector Solutions For Elliptic Systems.
- Wang, Z.Q, (2013). Multibump solutions for discrete periodic nonlinear Schrödinger equations.. Z. Angew. Math. Phys., 64
- Wang, Z.Q, Q., J., (2013). Ground states for quasilinear Schrödinger equations with critical growth..
- Wang, Z.Q, S., (2013). Multibump solutions for discrete periodic nonlinear Schro ̈dinger equations.
- R., Wang, Z.Q, (2013). Bifurcation results of positive solutions for an indefinite nonlinear elliptic system II..
- Wang, Z.Q, Y., (2013). On the multiple existence of semi-positive solutions for a nonlinear Schrödinger system. .
- Wang, Z.Q, X., J., (2013). Quasilinear equations via elliptic regularization method. Advanced Nonlinear Studies, 517-531.
- Nguyen, N.V, Wang, Z.Q, (2013). Orbital stability of solitary waves of a 3-coupled nonlinear Schrodinger system. Journal of Nonlinear Analysis Series A: Theory, Methods & Applications. , 90, 1-26. doi: 10.1016/j.na.2013.05.027.
- R., Wang, Z.Q, (2013). Bifurcation results on positive solutions of an indefinite nonlinear elliptic system..
- Wang, Z.Q, A., J., (2013). Finding multiple solutions to elliptic PDE with nonlinear boundary conditions.. Journal of Scientific Computing , 591-615.
- K., J., Wang, Z.Q, (2013). Note on periodic solutions of relativistic pendulum type systems.
- Wang, Z.Q, S., (2013). Segregated and synchronized vector solutions for nonlinear Schrödinger systems..
- Wang, Z.Q, X., (2013). Ground state of scalar field equations involving a fractional Laplacian with general nonlinearity..
- Wang, Z.Q, J., Q., (2013). Quasilinear elliptic equations with critical growth via perturbation method. .
- Wang, Z.Q, X., J., (2013). Quasilinear elliptic equations via perturbation method..
- Wang, Z.Q, J., Y., (2012). Multibump solutions for quasilinear elliptic equations.. , 4040-4102.
- Wang, Z.Q, K., (2012). Multiple non semi-trivial solutions for elliptic systems..
- Wang, Z.Q, J., Y., (2012). Stability of standing waves for a class of quasilinear Schrödinger equations. .
- Wang, Z.Q, C., C., (2011). Asymptotic symmetry and local behaviors of solutions to a class of anisotropic elliptic equations. .
- Wang, Z.Q, Y., (2011). Bound states of nonlinear Schrödinger equations with magnetic fields..
- Wang, Z.Q, Tian, R., (2011). Multiple solitary waves of nonlinear Schr\"odinger systems. Topological Methods in Nonlinear Analysis, 37
- Nguyen, N.V, Wang, Z.Q, (2011). Orbital Stability of Solitary Waves for a Nonlinear Schrodinger System. Advances in Differential Equations, 16:9-10, 977-1000.
- Wang, Z.Q, J., (2010). Sobolev type embedding and quasilinear elliptic equations with radial potentials..
- Wang, Z.Q, T., N., (2010). A Liouville theorem, a-priori bounds, and bifurcating branches of positive solutions for a nonlinear elliptic system. .
Professional Journal
- Haracz, J.L, Tschanz, J.T, Wang, Z.Q, Griffith, K.E, Rebec, G.V, (1998). Amphetamine effects on striatal neurons: implications for models of dopamine function. Neuroscience and Biobehavioral Reviews, 22, 613-622.
- Haracz, J.L, Tschanz, J.T, Wang, Z.Q, Griffith, K.E, Rebec, G.V, (1998). Amphetamine effects on striatal neurons: implications for models of dopamine function. Neuroscience and Biobehavioral Reviews, 22, 613-622.
- Haracz, J.L, Tschanz, J.T, Wang, Z.Q, White, I.M, Rebec, G.V, (1993). Striatal single-unit responses to amphetamine and neuroleptics in freely moving rats. Neuroscience & Biobehavioral Reviews, 1993:17, 1-12.
An asterisk (*) at the end of a publication indicates that it has not been peer-reviewed.
Publications | Other
Other
An asterisk (*) at the end of a publication indicates that it has not been peer-reviewed.