Ensembles singuliers topologiques dans les espaces fonctionnels entre variétés

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1. L.Ambrosio and B.Kirchheim “Rectifiable sets in Banach and metric Spaces” Math. Anna., 318, (2000), 527-555. Zbl0966.28002
2. F. Bethuel, “The approximation problem for Sobolev mappings between manifolds”, Acta Mathematica, 167, (1991) 167-201. Zbl0756.46017
3. F. Bethuel, “A characterization of maps in $H^1(B^3,S^2)$ which can be approximated by smooth maps”, Ann. Inst. Henri Poincaré, 7 269–286, (1990). Zbl0708.58004
4. F. Bethuel, “Approximations in trace spaces defined between manifolds”, Nonlinear Anal. Theory Methods Appl. 24, No. 1, (1995), 121-130. Zbl0824.58011
5. F. Bethuel, H. Brezis, and J. M. Coron, “Relaxed energies for harmonic maps”,in Variational Problems (H. Berestycki, J. M. Coron, I. Ekeland, eds.), Birkhauser, (1990). Zbl0793.58011
6. F. Bethuel and X. Zheng, “Density of Smooth Functions between two Manifolds in Sobolev Spaces”, J. Funct. Ana., 80, (1988), 60-75. Zbl0657.46027
7. H. Brezis, J.-M Coron and E. Lieb Harmonic maps with defects, Comm. Math. Phys. 107, (1986), 649-705. Zbl0608.58016MR868739
8. H. Federer, Geometric measure Theory, Springer (1996). Zbl0874.49001
9. M. Giaquinta, G. Modica and J. Soucek Cartesian Currents in the Calculus of Variations I and II, Springer (1998). Zbl0914.49001
10. M.Gromov “Metric structures for Riemannian and non-Riemannian spaces”, Progress in Mathematics, 152, Birkhaüser Boston, MA, 1999. Zbl0953.53002
11. F.Hang and F.H.Lin “Topology of Sobolev mappings” prépublication (2000). Zbl1049.46018
12. R.Hardt and T.Rivière “Connecting topological Hopf singularities” en préparation. Zbl1150.58004
13. J.Milnor and J.Stasheff “Characteristic Classes” Annals of Mathematics Studies, no 76, Princeton University Press, (1974). Zbl0298.57008
14. S.P. Novikov “Analytical theory of homotopy groups” Lecture Notes in Math., 1346, Springer (1988), 99-112. Zbl0649.55003
15. M.R.Pakzad and T.Rivière “Weak density of smooth maps for the Dirichlet energy between Manifolds” prépublication (2000). Zbl1028.58008
16. T.Rivière “Minimizing Fibrations and $p$-Harmonic maps in Homotopy Classes from $S^3$ into $S^2$” Comm. Anal. Geom., 6, (1998), 427-483. Zbl0914.58010
17. T.Rivière “On Dense subsets of $H^{\frac{1}{2}}(S^2,S^1)$”, Glob. Anal. and Geom. (2000). Zbl0960.35022
18. R. Schoen and K. Uhlenbeck Boundary regularity and the Dirichlet problem for harmonic maps J. Diff. Geom., 18 (1983), 253-268. Zbl0547.58020MR710054

1. Robert Hardt, Tristan Rivière, Connecting topological Hopf singularities