2010 Journal Article Curvature flow to the Nirenberg problemMa, Li and Hong, Min-Chun (2010). Curvature flow to the Nirenberg problem. Archiv der Mathematik, 94 (3), 277-289. doi: 10.1007/s00013-010-0101-9 |
2010 Journal Article The heat flow for H-systems on higher dimensional manifoldsHong, Min-Chun and Hsu, Deliang (2010). The heat flow for H-systems on higher dimensional manifolds. Indiana University Mathematics Journal, 59 (3), 761-790. doi: 10.1512/iumj.2010.59.3917 |
2010 Book Chapter Some analytic aspects of liquid crystal configurationsHong, Min-Chun (2010). Some analytic aspects of liquid crystal configurations. Trends in partial differential equations. (pp. 193-211) edited by Baojun Bian, Shenghong Li and Xu-Jia Wang. Beijing-Boston: Higher Education Press and International Press. |
2008 Journal Article Anti-self-dual connections and their related flow on 4-manifoldsHong, M.-C. and Yu, Z. (2008). Anti-self-dual connections and their related flow on 4-manifolds. Calculus of Variations, 31 (3), 325-349. doi: 10.1007/s00526-007-0114-9 |
2008 Journal Article Partial regularity of weak solutions to Maxwell's equations in a quasi-static electromagnetic fieldHong, Min-Chun, Tonegawa, Yoshihiro and Yassin, Alzubaidi (2008). Partial regularity of weak solutions to Maxwell's equations in a quasi-static electromagnetic field. Methods and Applications of Analysis, 15 (2), 199-215. |
2007 Journal Article Stability of the equator map for the hessian energyHong, M. C. and Thompson, B. (2007). Stability of the equator map for the hessian energy. Proceedings of the American Mathematical Society, 135 (10), 3163-3170. doi: 10.1090/S0002-9939-07-08950-2 |
2007 Journal Article Existence of infinitely many equilibrium configurations of a liquid crystal system prescribing the same nonconstant boundary valueHong, M. C. (2007). Existence of infinitely many equilibrium configurations of a liquid crystal system prescribing the same nonconstant boundary value. Pacific Journal of Mathematics, 232 (1), 177-206. doi: 10.2140/pjm.2007.232.177 |
2007 Journal Article Partial regularity of stable p-harmonic maps into spheresHong, M. C. (2007). Partial regularity of stable p-harmonic maps into spheres. The Bulletin of the Australian Mathematical Society, 76 (2), 297-305. doi: 10.1017/S0004972700039678 |
2005 Journal Article Regularity and relaxed problems of minimizing biharmonic maps into spheresHong, Min-Chun and Wang, Changyou (2005). Regularity and relaxed problems of minimizing biharmonic maps into spheres. Calculus of Variations and Partial Differential Equations, 23 (4), 425-450. doi: 10.1007/s00526-004-0309-2 |
2004 Journal Article Global existence of the m-equivariant Yang-Mills flow in four dimensional spacesHong, Min-Chun and Tian, Gang (2004). Global existence of the m-equivariant Yang-Mills flow in four dimensional spaces. Communications In Analysis And Geometry, 12 (1), 183-211. doi: 10.4310/CAG.2004.v12.n1.a10 |
2004 Journal Article Partial regularity of minimizers of a functional involving forms and mapsGiaquinta, M and Hong, MC (2004). Partial regularity of minimizers of a functional involving forms and maps. Nodea-nonlinear Differential Equations And Applications, 11 (4), 469-490. doi: 10.1007/s00030-0004-2015-3 |
2004 Journal Article Asymptotical behaviour of the Yang-Mills flow and singular Yang-Mills connectionsHong, Min-Chun and Tian, Gang (2004). Asymptotical behaviour of the Yang-Mills flow and singular Yang-Mills connections. Mathematische Annalen, 330 (3), 441-472. doi: 10.1007/s00208-004-0539-9 |
2004 Journal Article Partial regularity of weak solutions of the liquid crystal equilibrium systemHong, Min-Chun (2004). Partial regularity of weak solutions of the liquid crystal equilibrium system. Indiana University Mathematics Journal, 53 (5), 1401-1414. doi: 10.1512/iumj.2004.53.2459 |
2002 Journal Article Minimizing harmonic maps into ellipsoids and harmonic diffeomorphismsHong, MC (2002). Minimizing harmonic maps into ellipsoids and harmonic diffeomorphisms. Mathematische Zeitschrift, 241 (2), 313-327. doi: 10.1007/s002090200416 |
2001 Journal Article On the minimality of the p-harmonic map x/|x| : Bn → Sn-1Hong, MC (2001). On the minimality of the p-harmonic map x/|x| : Bn → Sn-1. Calculus of Variations And Partial Differential Equations, 13 (4), 459-468. |
2001 Journal Article Heat flow for Yang-Mills-Higgs fields, part IIYi,Fang and Hong, MC (2001). Heat flow for Yang-Mills-Higgs fields, part II. Chinese Annals of Mathematics Series B, 22 (2), 211-222. doi: 10.1142/S0252959901000206 |
2001 Journal Article Heat flow for the Yang-Mills-Higgs field and the Hermitian Yang-Mills-Higgs metricHong, MC (2001). Heat flow for the Yang-Mills-Higgs field and the Hermitian Yang-Mills-Higgs metric. Annals of Global Analysis And Geometry, 20 (1), 23-46. doi: 10.1023/A:1010688223177 |
2000 Journal Article Heat flow for Yang-Mills-Higgs fields, part IYi, Fang and Hong, MC (2000). Heat flow for Yang-Mills-Higgs fields, part I. Chinese Annals of Mathematics Series B, 21 (4), 453-472. doi: 10.1142/S0252959900000455 |
2000 Journal Article On the Jager-Kaul theorem concerning harmonic mapsHong, MC (2000). On the Jager-Kaul theorem concerning harmonic maps. Annales De L Institut Henri Poincare-analyse Non Lineaire, 17 (1), 35-46. doi: 10.1016/S0294-1449(99)00103-1 |
1999 Journal Article On the singular set of stable-stationary harmonic mapsHong, MC and Wang, CY (1999). On the singular set of stable-stationary harmonic maps. Calculus of Variations And Partial Differential Equations, 9 (2), 141-156. doi: 10.1007/s005260050135 |