Abstract
Here we obtain everywhere regularity of weak solutions of some nonlinear elliptic systems with borderline growth, including n-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.
Original language | English (US) |
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Pages (from-to) | 91-112 |
Number of pages | 22 |
Journal | Journal of Geometric Analysis |
Volume | 6 |
Issue number | 1 |
DOIs | |
State | Published - 1996 |
Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Geometry and Topology
Keywords
- Borderline growth
- Compensation
- Interior and boundary regularity
- N-harmonic maps
- Removable singularities
- Volume constraint
- ℋ theory