Acta mathematica scientia,Series B ›› 2003, Vol. 23 ›› Issue (4): 447-.

• Articles • Previous Articles     Next Articles

REGULARITIES AND SINGULARITIES OF THE ENERGY MINIMIZERS OF THE HEISENBERG GROUP TARGETS

 GU Gao   

  1. School of Science, Nanjing University of Science and Technology, Nanjing 210094, China
    Department of Mathematics, Bengbu Tank Institute, Bengbu 233013, China
  • Online:2003-10-06 Published:2003-10-06
  • Supported by:

    The Research was supported by the National Natural
    Science Foundation of China (19771048)

PDF (PC)

892

Abstract:

In this paper, the properties of the maps for the
Heisenberg group targets are studied. For $u \in W^{1,\alpha
}(\Omega, {\bf H}^m)$,  some Poincar\'e type inequalities are proved.
For the energy minimizers,  the $\epsilon$-regularity theorems
and the singularity theorems are obtained.

Key words: Heisenberg group, energy minimizer, Legendrian map, regularity, singularity

CLC Number: 

  • 35M05
Trendmd
Copyright © Editorial Office of Acta Mathematica Scientia
Add: P. O. Box 71010, Wuhan 430071, China　Tel: 027-87199206(中文版)　027-87199087(英文版)
E-mail: actams@wipm.ac.cn