Article

The Journal of Geometric Analysis

, Volume 6, Issue 1, pp 91-112

Regularity forn-harmonic maps

  • Libin MouAffiliated withDepartment of Mathematics, University of Southern California
  • , Paul YangAffiliated withDepartment of Mathematics, University of Southern California

Rent the article at a discount

Rent now

* Final gross prices may vary according to local VAT.

Get Access

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