Electronic Resource
Springer
Annals of global analysis and geometry
18 (2000), S. 517-528
ISSN:
1572-9060
Keywords:
density problems
;
Ginzburg–Landau functional
;
minimal connections
;
Sobolev maps between manifolds
;
Sobolev spaces
;
topological singularities
;
trace spaces
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract We prove that the maps from S 2 intoS 1 having a finite number of isolated singularities ofdegree ±1 are dense for the strong topology inH 1/2(S 2, S 1). We also prove that smooth maps are densein H 1/2(S 2, S 1)for the sequentially weak topology andthat this is no more the case in H s (S 2, S 1) for s〉 1/2.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1006655723537
Permalink
|
Location |
Call Number |
Expected |
Availability |