The Journal of Geometric Analysis

, Volume 6, Issue 1, pp 91–112

Regularity forn-harmonic maps

Authors

  • Libin Mou
    • Department of MathematicsUniversity of Southern California
  • Paul Yang
    • Department of MathematicsUniversity of Southern California
Article

DOI: 10.1007/BF02921568

Cite this article as:
Mou, L. & Yang, P. J Geom Anal (1996) 6: 91. doi:10.1007/BF02921568

Abstract

Here we obtain everywhere regularity of weak solutions of some nonlinear elliptic systems with borderline growth, includingn-harmonic maps between manifolds or map with constant volumes. Other results in this paper include regularity up to the boundary and a removability theorem for isolated singularities.

Math Subject Classification

58E20 35J60 35J70 42B30

Key Words and Phrases

n-harmonic maps borderline growth removable singularities interior and boundary regularity volume constraint compensation H 1 theory

Copyright information

© Mathematica Josephina, Inc. 1996