The Journal of Geometric Analysis

, Volume 6, Issue 1, pp 91–112

Regularity forn-harmonic maps

  • Libin Mou
  • Paul Yang

DOI: 10.1007/BF02921568

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


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


Key Words and Phrases

n-harmonic mapsborderline growthremovable singularitiesinterior and boundary regularityvolume constraintcompensationH1 theory

Copyright information

© Mathematica Josephina, Inc. 1996

Authors and Affiliations

  • Libin Mou
    • 1
  • Paul Yang
    • 1
  1. 1.Department of MathematicsUniversity of Southern CaliforniaLos Angeles
  2. 2.Department of MathematicsBradley UniversityPeoria