Applications harmoniques de B 3 dans S 2 partout discontinues

Tristan Rivière

Séminaire Équations aux dérivées partielles (Polytechnique) (1991-1992)

  • page 1-8

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Rivière, Tristan. "Applications harmoniques de $B^3$ dans $S^2$ partout discontinues." Séminaire Équations aux dérivées partielles (Polytechnique) (1991-1992): 1-8. <http://eudml.org/doc/112036>.

@article{Rivière1991-1992,
author = {Rivière, Tristan},
journal = {Séminaire Équations aux dérivées partielles (Polytechnique)},
keywords = {regularity; weak solutions; 3-dimensional Euclidean ball; harmonic maps; Euclidean 2-sphere},
language = {fre},
pages = {1-8},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
title = {Applications harmoniques de $B^3$ dans $S^2$ partout discontinues},
url = {http://eudml.org/doc/112036},
year = {1991-1992},
}

TY - JOUR
AU - Rivière, Tristan
TI - Applications harmoniques de $B^3$ dans $S^2$ partout discontinues
JO - Séminaire Équations aux dérivées partielles (Polytechnique)
PY - 1991-1992
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 8
LA - fre
KW - regularity; weak solutions; 3-dimensional Euclidean ball; harmonic maps; Euclidean 2-sphere
UR - http://eudml.org/doc/112036
ER -

References

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  2. [2] F. Bethuel and X. Zheng, Density of smooth functions between two manifolds in Sobolev spaces. J. Funct. Analysis, 80 (1988), 60-75. Zbl0657.46027MR960223
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  4. [4] L.C. Evans, Partial regularity for stationary harmonic maps into the sphere. Arch. Rationa. Mech. Anal.116 (1991), 101-113. Zbl0754.58007MR1143435
  5. [5] M. Giaquinta, G. Modica and J. Soucek, The Dirichlet energy of mappings with values into the sphere. Manuscripta Math., 65 (1989), 489-507. Zbl0678.49006MR1019705
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  7. [7] R. Hardt, F.H. Lin and C. Poon, Axially symmetric harmonic maps minimizing a relaxed energy. à paraître, 1991. Zbl0769.58012
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  9. [9] S. Hildebrandt, H. Kaul and K.O. Widman, An existence theorem for harmonic mappings of Riemannian manifolds. Acta Mathematica138 (1977), 1-15. Zbl0356.53015MR433502
  10. [10] C.B. Morrey, Multiple integrals in the calculus of variations. springer- Verlag, New-York (1977). Zbl0142.38701
  11. [11] C.B. Morrey, The problem of plateau on a Riemannian manifold. Ann. of Math., 49 (1948), 807-851. Zbl0033.39601MR27137
  12. [12] T. Rivière, Harmonic maps from B3 into S2 having a line of singularities. Note aux C.R.A.S.101 (1991), 583-587. Zbl0760.49025MR1133489
  13. [13] T. Rivière, Construction d'un dipôle. à paraître, 1992. 
  14. [14] T. Rivière, Everywhere discontinuous harmonic maps from B3 into S2. to appear, 1992. Zbl0780.49030MR1163864
  15. [15] R. Schoen, Analytic aspect of the harmonic maps problem. Sci. Res. Inst. publ. (Springer, Berlin) 2 (1984), 321-358. Zbl0551.58011MR765241
  16. [16] R. Schoen and K. Uhlenbeck, A reyularity theory for harmonic maps. J. of Diff. Geom.17 (1982), 307-335. Zbl0521.58021MR664498

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