A counterexample to the weak density of smooth maps between manifolds in Sobolev spaces

Author:

Bethuel Fabrice

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference30 articles.

1. Almgreen, F., Browder, F., Lieb, E.: Co-area, liquid crystals, and minimal surfaces. In: Chern, S. (ed.) Partial Differential Equations (Tianjin, 1986), pp. 1–22. Springer, Berlin (1988)

2. Alberti, G., Baldo, S., Orlandi, G.: Variational convergence for functionals of Ginzburg–Landau type. Indiana Univ. Math. J. 54, 1411–1472 (2005)

3. Auckly, D., Kapitanski, L.: The Pontrjagin–Hopf invariants for Sobolev maps. Commun. Contemp. Math 12, 121–181 (2010)

4. Bernot, M., Caselles, V., Morel, J.M.: Optimal Transportation Networks. Models and Theory, p. 200. Springer, Berlin (2009)

5. Bethuel, F.: A caracterization of maps in $$H^1(\mathbb{B}^3,\mathbb{S}^2)$$ which can be approximated by smooth maps. Ann. Inst. H. Poincaré Anal. Non Linéaire 7, 269–286 (1990)

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