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Dense Subsets of H1/2(S2, S1) (2000)

Rivière, Tristan

Springer

Annals of global analysis and geometry 18 (2000), S. 517-528

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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

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