论文信息 - The singular set of an energy minimizing map fromB4 toS2 - 字舞流文

The singular set of an energy minimizing map fromB4 toS2

The singular set of an energy minimizing map from a four dimensional domain toS2 consists locally of a finite set and a finite union of Hölder continuous curves.

Robert Hardt | F. Lin | R. Hardt | Fang Hua Lin

[1] E. J. McShane,et al. Solution of the Plateau problem form-dimensional surfaces of varying topological type , 1960 .

[2] C. B. Morrey. Multiple Integrals in the Calculus of Variations , 1966 .

[3] F. Lin,et al. Stability of singularities of minimizing harmonic maps , 1989 .

[4] Robert Gulliver,et al. Minimizing p-harmonic maps into spheres. , 1989 .

[5] F. Lin,et al. Mappings minimizing the Lp norm of the gradient , 1987 .

[6] D. Kinderlehrer,et al. Stable defects of minimizers of constrained variational principles , 1988 .

[7] Karen Uhlenbeck,et al. A regularity theory for harmonic maps , 1982 .

[8] L. Simon. Asymptotics for a class of non-linear evolution equations, with applications to geometric problems , 1983 .

[9] B. White,et al. The rate of convergence of a harmonic map at a singular point , 1989 .

[10] Karen Uhlenbeck,et al. Boundary regularity and the Dirichlet problem for harmonic maps , 1983 .

[11] E. Lieb,et al. Singularities of energy minimizing maps from the ball to the sphere: Examples, counterexamples, and bounds , 1988 .

[12] Jean-Michel Coron,et al. Harmonic maps with defects , 1986 .

[13] L. Simon. Isolated singularities of extrema of geometric variational problems , 1985 .