Singularities of harmonic maps
- 1 January 1997
- journal article
- Published by American Mathematical Society (AMS) in Bulletin of the American Mathematical Society
- Vol. 34 (1) , 15-34
- https://doi.org/10.1090/s0273-0979-97-00692-7
Abstract
This article surveys research on the existence, structure, behavior, and asymptotics of singularities of harmonic maps.Keywords
This publication has 82 references indexed in Scilit:
- Partial regularity of energy minimizing harmonic maps into a complete manifoldCalculus of Variations and Partial Differential Equations, 1995
- Singularities for p-energy minimizing unit vectorfields on planar domainsCalculus of Variations and Partial Differential Equations, 1995
- Rectifiability of the singular set of energy minimizing mapsCalculus of Variations and Partial Differential Equations, 1995
- Partial regularity for harmonic maps of evolution into spheresCommunications in Partial Differential Equations, 1994
- Blow-up and global existence for heat flows of harmonic mapsInventiones Mathematicae, 1990
- P-harmonic obstacle problemsmanuscripta mathematica, 1989
- Existence and partial regularity results for the heat flow for harmonic mapsMathematische Zeitschrift, 1989
- Harmonic maps with defectsCommunications in Mathematical Physics, 1986
- Existence and partial regularity of static liquid crystal configurationsCommunications in Mathematical Physics, 1986
- Regularity of minimizing harmonic maps into the sphereInventiones Mathematicae, 1984