王志强

This page contains the following sections: Education Research Interests Classes Taught Some Recent Publications Employments Professional Memberships Other Professional Activities Contact Information -------------------------------------------------------------------------------- [USU] [Math/Stat] [Faculty] -------------------------------------------------------------------------------- Education B.S. Mathematics, 1982, Jilin University, China M.S. Mathematics, 1984, The Chinese Academy of Sciences Ph.D. Mathematics, 1986, The Chinese Academy of Sciences -------------------------------------------------------------------------------- Employments History 1986-1988, Postdoctoral Fellow and Assistant Professor, Peking University, P. R. China 1988-1989, Visiting Member, Courant Institute of Math. Sci., New York University 1989-1990, Visiting Assistant Professor, University of Utah 1990-1991, Visiting Assistant Professor, University of Wisconsin at Madison 1991-1994, Assistant Professor, Utah State University 1994-1998, Associate Professor, Utah State University 1998-present, Professor, Utah State University -------------------------------------------------------------------------------- Research Interests Nonlinear Partial Differential Equations Variational and Topological Methods in Nonlinear Analysis Hamiltonian Systems -------------------------------------------------------------------------------- Classes for 2005-2006 academic year Fall 2005 Real Analysis (Math 6210) Spring 2006 Calculus Techniques (Math 1100) and Real Analysis (Math 6220) -------------------------------------------------------------------------------- Some Publications (since 1997) (complete listing from MathSciNet ) 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 , (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 of ground states , (with J. Byeon) , , submitted. 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. and II. , (with Z. L. Liu) , Annales de l'Institut Henri Poincare - Analyse non lineaire , 22 (2005), 597-608 and 609-631. Nonlinear Schr\"odinger equations with vanishing and decaying potentials , (with A. Ambrosetti) , Differential Integral Equations , 216 (2005), 78-108. 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 , to appear. -------------------------------------------------------------------------------- Professional Memberships AMS -------------------------------------------------------------------------------- Other Professional Activities Director, Graduate Study in Math & Stat, 1994 - 1997 -------------------------------------------------------------------------------- Contact Information Zhi-Qiang Wang Department 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