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2010

Journal Article

Curvature flow to the Nirenberg problem

Ma, 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

Curvature flow to the Nirenberg problem

2010

Journal Article

The heat flow for H-systems on higher dimensional manifolds

Hong, 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

The heat flow for H-systems on higher dimensional manifolds

2010

Book Chapter

Some analytic aspects of liquid crystal configurations

Hong, 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.

Some analytic aspects of liquid crystal configurations

2008

Journal Article

Anti-self-dual connections and their related flow on 4-manifolds

Hong, 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

Anti-self-dual connections and their related flow on 4-manifolds

2008

Journal Article

Partial regularity of weak solutions to Maxwell's equations in a quasi-static electromagnetic field

Hong, 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.

Partial regularity of weak solutions to Maxwell's equations in a quasi-static electromagnetic field

2007

Journal Article

Stability of the equator map for the hessian energy

Hong, 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

Stability of the equator map for the hessian energy

2007

Journal Article

Existence of infinitely many equilibrium configurations of a liquid crystal system prescribing the same nonconstant boundary value

Hong, 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

Existence of infinitely many equilibrium configurations of a liquid crystal system prescribing the same nonconstant boundary value

2007

Journal Article

Partial regularity of stable p-harmonic maps into spheres

Hong, 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

Partial regularity of stable p-harmonic maps into spheres

2005

Journal Article

Regularity and relaxed problems of minimizing biharmonic maps into spheres

Hong, 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

Regularity and relaxed problems of minimizing biharmonic maps into spheres

2004

Journal Article

Global existence of the m-equivariant Yang-Mills flow in four dimensional spaces

Hong, 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

Global existence of the m-equivariant Yang-Mills flow in four dimensional spaces

2004

Journal Article

Partial regularity of minimizers of a functional involving forms and maps

Giaquinta, 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

Partial regularity of minimizers of a functional involving forms and maps

2004

Journal Article

Asymptotical behaviour of the Yang-Mills flow and singular Yang-Mills connections

Hong, 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

Asymptotical behaviour of the Yang-Mills flow and singular Yang-Mills connections

2004

Journal Article

Partial regularity of weak solutions of the liquid crystal equilibrium system

Hong, 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

Partial regularity of weak solutions of the liquid crystal equilibrium system

2002

Journal Article

Minimizing harmonic maps into ellipsoids and harmonic diffeomorphisms

Hong, MC (2002). Minimizing harmonic maps into ellipsoids and harmonic diffeomorphisms. Mathematische Zeitschrift, 241 (2), 313-327. doi: 10.1007/s002090200416

Minimizing harmonic maps into ellipsoids and harmonic diffeomorphisms

2001

Journal Article

On the minimality of the p-harmonic map x/|x| : Bn → Sn-1

Hong, 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.

On the minimality of the p-harmonic map x/|x| : Bn → Sn-1

2001

Journal Article

Heat flow for Yang-Mills-Higgs fields, part II

Yi,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

Heat flow for Yang-Mills-Higgs fields, part II

2001

Journal Article

Heat flow for the Yang-Mills-Higgs field and the Hermitian Yang-Mills-Higgs metric

Hong, 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

Heat flow for the Yang-Mills-Higgs field and the Hermitian Yang-Mills-Higgs metric

2000

Journal Article

Heat flow for Yang-Mills-Higgs fields, part I

Yi, 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

Heat flow for Yang-Mills-Higgs fields, part I

2000

Journal Article

On the Jager-Kaul theorem concerning harmonic maps

Hong, 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

On the Jager-Kaul theorem concerning harmonic maps

1999

Journal Article

On the singular set of stable-stationary harmonic maps

Hong, 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

On the singular set of stable-stationary harmonic maps