Closure of smooth maps in W^{1,p}(B^3; S^2)
(2009) Differential and Integral Equations — Vol. 22, n° 9-10, p. 881-900 (2009)
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- Abstract
- (en) 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.
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Ponce, A., & Van Schaftingen, J. (2009). Closure of smooth maps in W^{1,p}(B^3; S^2). Differential and Integral Equations, 22(9-10), 881-900. https://hdl.handle.net/2078.5/246357 (Original work published 2009)