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Closure of smooth maps in W^{1,p}(B^3; S^2)

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Ponce, Augusto [UCL] Van Schaftingen, Jean [UCL]

(eng) For every 2 < p < 3, we show that u is an element of W-1,W-p(B-3; S-2) can be strongly approximated by maps in C-infinity((B) over bar (3); S-2) if, and only if, the distributional Jacobian of u vanishes identically. This result was originally proved by Bethuel-Coron-Demengel-Helein, but we present a different strategy which is motivated by the W-2,W-p-case.

Document type Article de périodique (Journal article)
Publication date 2009
Language Anglais
Journal information "Differential and Integral Equations : an international journal for theory & applications" - Vol. 22, no. 9-10, p. 881-900 (2009)
Peer reviewed yes
Publisher Khayyam Publ Co Inc (Athens)
issn 0893-4983
Publication status Publié
Affiliation UCL - SST/IRMP - Institut de recherche en mathématiques et physique
Links
Bibliographic reference Ponce, Augusto ; Van Schaftingen, Jean. Closure of smooth maps in W^{1,p}(B^3; S^2). In: Differential and Integral Equations : an international journal for theory & applications, Vol. 22, no. 9-10, p. 881-900 (2009)
Permanent URL http://hdl.handle.net/2078.1/58605