Abstract
We prove that every minimizer on
H
1(Ω; S
2)
of the relaxed energy
∝¦▽u¦
2 + 8πλL(u),
where 0 ⩽ λ < 1
and L(u)
is the length of a minimal connection connecting the singularities of
u, is smooth except at a finite number of points.
- Title
- Regularity of minimizers of relaxed problems for harmonic maps
- Creators
- Fabrice Bethuel - ENPC-CERMA La Courtine 93167, Noisy-Le-Grand Cedex, FranceHaïm Brezis - Université Pierre et Marie Curie, 4, place Jussieu, 75252 Paris, Cedex 05, France
- Publication Details
- Journal of functional analysis, Vol.101(1), pp.145-161
- Date published
- 1991
- Publisher
- Elsevier Inc
- Academic Unit
- Mathematics (SAS)
- Language
- English
- Resource Type
- Journal article
- Identifiers
- 991031665746404646