- Math 6210: Real Analysis, and Math 6440: ODEs and Dynamical Systems I
- Math 5420: Applied Mathematics II - PDEs, and Math 6450: PDEs II
Some Publications (since 1997) (complete listing from MathSciNet ) (citations from AMS citation datebase )
- Periodic solutions of even Hamiltonian systems on the torus (1997) , (with Thomas Bartsch) Mathematische Zeitschrift , 224, 65-76.
- Periodic solutions of even, spatially periodic Hamiltonian systems (1997) , (with Thomas Bartsch) Journal of Differential Equations , 135, 103-128.
- On Neumann problems for semilinear elliptic equations with critical nonlinearity: existence and symmetry of multi-peaked solutions (1997) , (with Stani Maier and Klaus Schmitt) Communications in Partial Differential Equations , 22, 1493 - 1527.
- Even Hamiltonian systems on tori and cotangent spaces of tori (1997) , (with Thomas Bartsch) Nonlinear Analysis, Theory, Methods and Applications , 30, 4123 - 4134.
- Existence, nonexistence and symmetry property of local and global minimizers for a semilinear elliptic problem (1998) , Discrete and Continuous Dynamical Systems , Special Vol. 2, 288 - 302.
- Multiplicity for symmetric indefinite functionlas: applications to Hamiltonian and elliptic systems (1998) , (with Patricio Felmer) Topological Methods in Nonlinear Analysis , 12, 207 - 226.
- Existence and nonexistence of $G$-least energy solutions for a nonlinear Neumann problem (1999) , Calculus of Variations and Partial Differential Equations , 8, 109 - 122.
- Existence of many positive solutions of an elliptic equation with critical exponent on an annulus (1999) , (with Michel Willem) Proccedings of American Mathematical Society , 127, 1711 - 1714.
- Nonlinear elliptic equations on expaning symmetric domains (1999) , (with Florin Catrina) Journal of Differential Equations , 156, 153 - 181.
- Existence and symmetry of multi-bump solutions for nonlinear Schr\"odinger equations (1999) , Journal of Differential Equations , 159, 102 - 137.
- Positive solutions for elliptic equations with critical growth in unbounded domains , (with M. Ramos and M. Willem) Calculus of variations and differential equations (Haifa, 1998) , 192 - 199, Chapman \& Hall/CRC Res. Notes Math., 410, Chapman \& Hall/CRC, Boca Raton, FL, 2000.
- Mountain Pass Theorem in Order Intervals and Multiple Solutions for Semilinear Elliptic Dirichlet Problems (2000) , (with S. Li) Journal d'Analyse Math\'ematiques , 81, 373-396.
- Singular minimization problems (2000) , (with M. Willem) Journal of Differential Equations , 161, 307 - 320.
- Morse theory without (PS) condition at isolated values and strong resonant problems (2000) , (with N. Hirano and S. Li) Calculus of Variations and Partial Differential Equations , 10, 223 - 247.
- On the Morse indices of sign-changing solutions for nonlinear elliptic problems (2000) , (with T. Bartsch and K.C. Chang) Mathematische Zeitschrift , 233, 366-384.
- Multiple positive solutions for a nonlinear Schr\"odinger equation (2000) , (with T. Bartsch) Zeitschrift f\"{u}r Angewandte Mathematik und Physik , 51, 366-384.
- On the Caffarelli-Kohn -Nirenberg Inequalities (2000) , (with F. Catrina) Comptes Rendus des S\'eances de l'Acad\'emie des Sciences. S\'erie I. Math\'ematique , 330, 437 - 442.
- Symmetric solutions for the prescribed scalar curvature problem (2000) , (with F. Catrina) Indinna University Mathematical Journal , 49, 779-813.
- On the existence of soliton solutions to quasilinear Schr\"odinger equations , (with M. Poppenburg and K. Schmitt) Calculus of Variations and Partial Differential Equations, , 14 (2002) 3, 329-344.
- On the Caffarelli-Kohn-Nirenberg Inequalities: sharp constants, existence (and nonexistence) and symmetry of extremal functions , (with F. Catrina) Communications on Pure and Applied Mathematics , Vol. LIV (2001), 229-258.
- Asymptotic uniqueness and exact symmetry of k-bump solutions for a class of degenerate elliptic problems , (with F. Catrina) DCCD, , Add. Vol. III (2001), 80-88.
- Positive bound states having prescribed symmetry for a class of nonlinear elliptic equations in $R^N$ , (with F. Catrina) Annales de l'Institut Henri Poincare - Analyse non lineaire , 18 (2001), 157-178.
- Gluing approximate solutions of minimum type on the Nehari manifold , (with Yanyan Li) USA-Chile Workshop on Nonlinear Analysis , in press.
- Nonlinear Schr\"odinger equations with steep potential well , (with Thomas Bartsch and Alexander Pankov) Communications in Contemporary Mathematics , 3 (2001), 1 - 21.
- Symmetry Breaking of Extremal Functions for the Caffarelli-Kohn-Nirenberg Inequalities , (with J. Byeon) Communications in Contemporary Mathematics , 4 (2002), 457-466.
- Lusternik-Schnirelman theory in partially ordered Hilbert spaces , (with S. J. Li) Transactions of American Mathematical Society , 354 (2002), 3207-3227.
- Soliton Solutions for Quasilinear Schr\"odinger Equations , (with J. Liu) Proceedings of the American Mathematical Society , 131 (2003), 441-448.
- Soliton Solutions for Quasilinear Schr\"odinger Equations, II , (with J. Liu and Y. Wang) Journal of Differential Equations , 187 (2003), 473-493.
- Standing waves with a critical frequency for nonlinear Schrodinger equations , (with J. Byeon) Archive for Rational Mechanics and Analysis , 165 (2002), 295-316.
- Caffarelli-Kohn-Nirenberg inequalities with remainder terms , (with M. Willem) Journal of Functional Analysis , 203 (2003), 550-568.
- Hardy inequalities with boundary terms , (with M. Zhu) , EJDEs, , Vol 2003 (2003), No 43, p 1-8.
- Positive solutions to a class of quasilinear elliptic equations on $R$ , (with A. Ambrosetti) , Discrete and Continuous Dynamical Systems , 9 (2003), 55-68.
- A local minimax-newton's method for finding critical points with symmetries, , (with J. Zhou) , SIAM Journal Journal on Numerical Analysis , 42 (2004), 1745-1759.
- On the H\'enon equation : asymptotic profile and symmetry of ground states , (with J. Byeon) , Annales de l'Institut Henri Poincar$\acute{e}$ - Analyse non lin$\acute{e}$aire}, , 23 (2006), 803-828.
- An Efficient and Stable Method for Computing Multiple Saddle Points with Symmetries, , (with J. Zhou) , SIAM Journal Journal on Numerical Analysis , 43(2005), 891-907.
- Symmetry of extremal functions for the Caffarelli-Kohn-Nirenberg inequalities, , (with C.-S. Lin) , Proceedings of the American Mathematical Society , 132 (2004), 1685-1691.
- Multi-bump, nodal solutions having a prescribed number of nodal domains. I. , (with Z. L. Liu) , Annales de l'Institut Henri Poincare - Analyse non lineaire , 22 (2005), 597-608.
- Multi-bump, nodal solutions having a prescribed number of nodal domains. II. , (with Z. L. Liu) , Annales de l'Institut Henri Poincare - Analyse non lineaire , 22 (2005), 609-631.
- Nonlinear Schr\"odinger equations with vanishing and decaying potentials , (with A. Ambrosetti) , Differential Integral Equations , 216 (2005), 78-108.
- On electro-kinetic fluids: one dimensional configurations , (with C. Liu and R. Ryham) , Discrete and Continuous Dynamical Systems , B6 (2006), 357--371.
- Nodal type bound states of Schr\"odinger equations via invariant set and minimax methods , (with Z. L. Liu and F. van Heerden) , Journal of Differential Equations , 214 (2005), 358-390.
- Spherical semiclassical states of a critical frequency for Schr\"odinger equations with decaying potentials , (with J. Byeon) , Journal of European Mathematical Society , 8(2006), 217-228.
- Multiple solutions of a superlinear elliptic equation , (with P. H. Rabinowitz and J. Su) , Rend. Lincei di Matematica , 18(2007), 97-108.
- Weighted Sobolev embedding with unbounded and decaying radial potentials , (with J. Su and M. Willem) , Journal of Differential Equations , 238(2007), 201-209.
Professional Memberships
- AMS
Other Professional Activities
- Director, Graduate Study in Math & Stat, 1994 - 1997
Contact Information
Zhi-Qiang WangDepartment of Mathematics and Statistics
Utah State University
Logan, UT 84322-4205
Office Phone:435 797-3529
Fax: 435 797-1822
E-Mail: zhi-qiang.wang@usu.edu
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