Topology and Sobolev spaces;Topologie et espaces de Sobolev

Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

Volumn 331, Issue 5, 2000, Pages 365-370

  Brezis, Haïm ^a   Li, YanYan ^b  

^a SORBONNE UNIVERSITÉ   (France)

^b RUTGERS UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034258893     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0764-4442(00)01656-6     Document Type: Article

References (10)

1. [1] Bethuel F., The approximation problem for Sobolev maps between two manifolds, Acta Math. 167 (1991) 153-206.
2. [2] Bethuel F., Zheng X., Density of smooth functions between two manifolds in Sobolev spaces, J. Funct. Anal. 80 (1988) 60-75.
3. [3] Brezis H., Li Y.Y., Topology and Sobolev spaces, Preprint.
4. [4] Brezis H., Li Y.Y., Mironescu P., Nirenberg L., Degree and Sobolev spaces, Topol. Methods in Nonlin. Anal. 13 (1999) 181-190.
5. [5] Brezis H., Nirenberg L., Degree theory and BMO, Part I: Compact manifolds without boundaries, Selecta Math. 1 (1995) 197-263; Part II: Compact manifolds with boundaries, Selecta Math. 2 (1996) 309-368.
6. Brezis H., Nirenberg L., Degree theory and BMO, Part I: Compact manifolds without boundaries, Selecta Math. 1 (1995) 197-263; Part II: Compact manifolds with boundaries, Selecta Math. 2 (1996) 309-368.
7. [6] Rubinstein J., Sternberg P., Homotopy classification of minimizers of the Ginzburg-Landau energy and the existence of permanent currents, Commun. Math. Phys. 179 (1996) 257-263.
8. [7] Schoen R., Uhlenbeck K., Boundary regularity and the Dirichlet problem for harmonic maps, J. Differ. Geom. 18 (1983) 253-268.
9. [8] White B., Infima of energy functionals in homotopy classes of mappings, J. Differ. Geom. 23 (1986) 127-142
10. [9] White B., Homotopy classes in Sobolev spaces and the existence of energy minimizing maps, Acta Math. 160 (1988) 1-17.