81. Universal Growth Law for Knot Energy of Faddeev Type in General Dimensions, Proceedings of the Royal Society A, in press [with F. H. Lin]
80. Existence of Knots of Minimum Energy and Topological Growth Laws in the Faddeev Model, Topology and Physics (in memory of Xiao-Song Lin), Nankai Tracts in Mathematics 12 (2008) pp. 242--259 [with F. H. Lin].
79. Spherically Symmetric Self-Dual Yang-Mills Instantons on Curved Backgrounds in All Even Dimensions, Physical Review D 77 (2008) 044017 [with E. Radu and D. H. Tchrakian]
78. A System of Elliptic Equations Arising in Chern-Simons Field Theory, Journal of Functional Analysis 247 (2007) 289--350 [with C. S. Lin and A. C. Ponce].
77. Analysis on Faddeev Knots and Skyrme Solitons: Recent Progress and Open Problems, in Perspectives in Nonlinear Partial Differential Equations (in honor of Haim Brezis), Contemporary Mathematics 446, pp. 319--344, American Mathematical Society, 2007 [with F. H. Lin].
76. Geometry, Topology, and Gravitation Synthesized by Cosmic Strings, Pure and Applied Mathematics Quarterly 3 (2007) 737--772 (in honor of Robert Gulliver, Robert Hardt, and Leon Simon).
75. Generalized Bernstein Property and Gravitational Strings in Born--Infeld Theory, Nonlinearity 20 (2007) 1193--1213 [with L. Sibner and R. Sibner].
74. Nonlinear Nonlocal Elliptic Equations Modeling Electrostatic Actuation, Proceedings of the Royal Society A 463 (2007) 1323--1337 [with F. H. Lin].
73. Energy Splitting, Substantial Inequality, and Minimization for the Faddeev and Skyrme Models, Communications in Mathematical Physics 269 (2007) 137--152 [with F. H. Lin].
72. Moduli Space of BPS Walls in Supersymmetric Gauge Theories, Communications in Mathematical Physics 267 (2006) 783--800 [with N. Sakai].
71. Static Knot Energy, Hopf Charge, and Universal Growth Law, Nuclear Physics B 747 (2006) 455--463 [with F. H. Lin].
70. Faddeev Knots, Skyrme Solitons, and Concentration-Compactness, Proceedings of the 23rd International Conference on Differential Geometry Methods in Theoretical Physics, Nankai Tracts in Mathematics 10 (2006) pp. 313--322 [with F. H. Lin].
69. Existence of Static BPS Monopoles and Dyons in Arbitrary $(4p-1)$-Dimensional Spaces, Letters in Mathematical Physics 77 (2006) 249--263 [with X. Q. Wang].
68. Mathematical Analysis of the Multiband BCS Gap Equations in Superconductivity, Physica D 200 (2005) 60--74.
67. Existence of 2D Skyrmions via Concentration-Compactness Method, Communications on Pure and Applied Mathematics 57 (2004) 1332--1351 [with F. H. Lin].
66. Prescribing Zeros and Poles on a Compact Riemann Surface for a Gravitationally Coupled Abelian Gauge Field Theory, Communications in Mathematical Physics 249 (2004) 579--609.
65. Existence of Energy Minimizers as Stable Knotted Solitons in the Faddeev Model, Communications in Mathematical Physics 249 (2004) 273--303 [with F. H. Lin].
64. The Faddeev Knots as Stable Solitons: Existence Theorems, Science in China Series A 47 (2004) 187--197 [with F. H. Lin].
63. Gauged Harmonic Maps, Born--Infeld Electromagnetism, and Magnetic Vortices, Communications on Pure and Applied Mathematics 56 (2003) 1635--1665 [with F. H. Lin].
62. On Pokrovskii's Anisotropic Gap Equations in Superconductivity Theory, Nonlinearity 16 (2003) 2061--2073.
61. Rigorous Proof of Isotope Effect by Bardeen--Cooper--Schrieffer Theory, Journal of Mathematical Physics 44 (2003) 2004--2025.
60. Multiple Instantons Representing Higher-Order Chern--Pontryagin Classes, II, Communications in Mathematical Physics 241 (2003) 47--67 [with L. Sibner and R. Sibner].
59. Existence of Solutions to the Efros Self-consistency Equation in All Dimensions, Proceedings of the Royal Society A 459 (2003) 853--861.
58. The Uniqueness and Approximation of a Positive Solution of the Bardeen--Cooper--Schrieffer Gap Equation, Journal of Mathematical Physics 41 (2000) 6007--6025 [with J. B. McLeod].
57. Classical Solutions in the Born--Infeld Theory, Proceedings of the Royal Society A 456 (2000) 615--640.
56. Abelian Gauge Theory on Riemann Surfaces and New Topological Invariants, Proceedings of the Royal Society A 456 (2000) 593--613 [with R. Sibner and L. Sibner].
55. On a System of Nonlinear Elliptic Equations Arising in Theoretical Physics, Journal of Functional Analysis 170 (2000) 1--36.
54. Strings of Opposite Magnetic Charges in a Gauge Field Theory, Proceedings of the Royal Society A 455 (1999) 601--629.
53. Sigma Models Coupled with Abelian Gauge Fields, Journal of Mathematical Physics 39 (1998) 5824--5831 [with D. O'Keeffe and D. H. Tchrakian].
52. Chern--Simons Solitons and a Nonlinear Elliptic Equation, Helvetica Physica Acta 71 (1998) 573--585.
51. Coexistence of Vortices and Anti-vortices in an Abelian Gauge Theory, Physical Review Letters 80 (1998) 26--29.
50. String-like Defects and Fractional Total Curvature in a Gauged Harmonic Map Model, Advances in Nonlinear Partial Differential Equations and Related Areas (edited by Y. Li et al), pp. 334--378, World Scientific Publishing, 1998.
49. The Lee--Weinberg Magnetic Monopole of Unit Charge: Existence and Uniqueness, Physica D 117 (1998) 215--240.
48. Dually Charged Particle-like Solutions in the Weinberg--Salam Theory, Proceedings of the Royal Society A 454 (1998) 155--178.
47. Nonlinear Problems in Field Theories, Proceedings of International Workshop on Mathematical and Physical Aspects of Nonlinear Field Theories, Lecture Notes Series 42, pp. 1--26, 1998, Seoul National University (edited by D. Chae).
46. Multiple Instantons Representing Higher-Order Chern--Pontryagin Classes, Communications in Mathematical Physics 188 (1997) 737--751 [with J. Spruck and D. H. Tchrakian].
45. The Relativistic Non-Abelian Chern--Simons Equations, Communications in Mathematical Physics 186 (1997) 199--218.
44. The Existence of Solitons in Gauged Sigma Models with Broken Symmetry: Some Remarks, Letters in Mathematical Physics 40 (1997) 177--189.
43. Topological Solitons in the Weinberg--Salam Theory, Physica D 101 (1997) 55--94.
42. Cosmic Strings on $S^2$ and Criticality, Proceedings of the Royal Society A 453 (1997) 581--591.
41. A Necessary and Sufficient Condition for the Existence of Multisolitons in a Self-Dual Sigma Model, Communications in Mathematical Physics 181 (1996) 485--506.
40. Topological and Nontopological Self-Dual Chern--Simons Solitons in a Gauged $O(3)$ Sigma Model, Physical Reviews D 54 (1996) 5245--5258 [with K. Arthur and D. H. Tchrakian].
39. Mathematical Theory of Self-Dual Cosmic Strings: Existence and Obstructions, International Journal of Modern Physics A 11 (1996) 203--227 [invited review article].
38. Skyrme Models with Self-Dual Limits: $d=2,3$, Journal of Mathematical Physics 37 (1996) 2569--2584 [with K. Arthur, G. Roche, and D. H. Tchrakian].
37. The Existence of Generalised Self-Dual Chern--Simons Vortices, Letters in Mathematical Physics 36 (1996) 403--413 [with D. H. Tchrakian].
36. Existence Theorems for Periodic Non-relativistic Maxwell--Chern--Simons Solitons, Journal of Differential Equations 127 (1996) 571--589 [with J. Spruck].
35. Prescribing Topological Defects for the Coupled Einstein and Abelian Higgs Equations, Communications in Mathematical Physics 170 (1995) 541--582.
34. Regular Stationary Solutions of the Cylindrically Symmetric Einstein-Matter-Gauge Equations, Journal of Mathematical Analysis and Applications 195 (1995) 160--190 [with J. Spruck].
33. Vortex Condensation in the Chern--Simons Higgs Model: An Existence Theorem, Communications in Mathematical Physics 168 (1995) 321--336 [with L. A. Caffarelli].
32. Topological Solutions in the Self-Dual Chern--Simons Theory: Existence and Approximation, Annales de l'Institut Henri Poincar\'{e}-- Analyse non Lin\'{e}aire 12 (1995) 75--97 [with J. Spruck].
31. The Existence of Ginzburg--Landau Solution on the Plane by a Direct Variational Method, Annales de l'Institut Henri Poincar\'{e} -- Analyse non Lin\'{e}aire 11 (1994) 517--536.
30. Obstructions to the Existence of Static Cosmic Strings in an Abelian Higgs Model, Physical Review Letters 72 (1994) 10--13.
29. Self Duality of the Gauge Field Equations and the Cosmological Constant, Communications in Mathematical Physics 162 (1994) 481--498.
28. A Nonlinear Elliptic Equation Arising from Gauge Field Theory and Cosmology, Proceedings of the Royal Society A 446 (1994) 453--478 [with X. Chen, S. Hastings, and J. B. McLeod].
27. The Critical Temperature and Gap Solution in the Bardeen--Cooper--Schrieffer Theory of Superconductivity, Letters in Mathematical Physics 29 (1993) 133--150 [with Q. Du].
26. An Equivalence Theorem for String Solutions of the Einstein-Matter-Gauge Equations, Letters in Mathematical Physics 26 (1992) 79--90.
25. On the Existence of Multivortices in a Generalized Bogomol'nyi System, Zeitschrift f\"{u}r angewandte Mathematik und Physik 43 (1992) 677--696.
24. The Existence of a Class of Cosmic String Solutions with Infinite Energy, Proceedings of the Royal Society of Edinburgh A 122 (1992) 301--315.
23. The Existence of Non-Topological Solitons in the Self-Dual Chern--Simons Theory, Communications in Mathematical Physics 149 (1992) 361--376 [with J. Spruck].
22. On Multivortices in the Electroweak Theory. I: Existence of Periodic Solutions, Communications in Mathematical Physics 144 (1992) 1--16 [with J. Spruck].
21. On Multivortices in the Electroweak Theory. II: Existence of Bogomol'nyi Solutions in ${\bf R}^2$, Communications in Mathematical Physics 144 (1992) 215--234 [with J. Spruck].
20. Symmetric Superconducting States in Thin Films, SIAM Journal on Applied Mathematics 52 (1992) 614--629 [with S. Wang].
19. Abrikosov's Vortices in the Critical Coupling, SIAM Journal on Mathematical Analysis 23 (1992) 1125--1140 [with S. Wang].
18. Solutions of the Generalized Bogomol'nyi Equations via Monotone Iterations, Journal of Mathematical Physics 33 (1992) 4239--4249 [with S. Wang].
17. Vacuum Decay of Non-Abelian Vortices, Mathematical Methods in the Applied Sciences 15 (1992) 79--88.
16. A Generalized Self-Dual Chern--Simons Higgs Theory, Letters in Mathematical Physics 23 (1991) 179--191.
15. Existence of the Massive $SO(3)$ Vortices, Journal of Mathematical Physics 32 (1991) 1395--1399.
14. On the Bardeen--Cooper--Schrieffer Integral Equation in the Theory of Superconductivity, Letters in Mathematical Physics 22 (1991) 27--37.
13. On the Abelian Higgs Models with Sources, Journal de Math\'{e}matiques Pures et Appliqu\'{e}es 70 (1991) 325--344.
12. The Computation of Superconductivity in Thin Films, Journal of Computational Physics 89 (1990) 257--275 [with S.-Y. Lin].
11. Vortices on Asymptotically Euclidean Riemann Surfaces, Nonlinear Analysis 15 (1990) 577--596.
10. Self-Dual Monopoles in a Seven-Dimensional Gauge Theory, Letters in Mathematical Physics 20 (1990) 285--290.
9. Blow-Up of the $SU(2,\bf{C})$ Yang--Mills Fields, Journal of Mathematical Physics 31 (1990) 1237--1239.
8. Ginzburg--Landau Equations for Superconducting Films and the Meissner Effect, Journal of Mathematical Physics 31 (1990) 1284--1289.
7. Boundary Value Problems of the Ginzburg--Landau Equations, Proceedings of the Royal Society of Edinburgh A 114 (1990) 355--365.
6. Convergence of the Pseudospectral Method for the Ginzburg--Landau Equation, Journal of Mathematical Analysis and Applications 147 (1990) 556--568.
5. Existence of Solutions for a Generalized Yang--Mills Theory, Letters in Mathematical Physics 19 (1990) 257--267.
4. On the Ginzburg--Landau Wave Equation, Bulletin of the London Mathematical Society 22 (1990) 167--170.
3. A Comparison of the Eigenvalues of Two Sturm--Liouville Problems, Canadian Mathematical Bulletin 33 (1990) 386--390.
2. Existence, Regularity, and Asymptotic Behavior of the Ginzburg--Landau Equations on ${\bf R}^3$, Communications in Mathematical Physics 123 (1989) 147--161.
1. Generalized Skyrme Models on Higher Dimensional Riemannian Manifolds, Journal of Mathematical Physics 30 (1989) 824--828.