@article{JEDP_1996____A12_0, author = {Lin, Fang Hua}, title = {Rectifiability of defect measures, fundamental groups and density of {Sobolev} mappings}, journal = {Journ\'ees \'equations aux d\'eriv\'ees partielles}, eid = {12}, pages = {1--14}, publisher = {Ecole polytechnique}, year = {1996}, zbl = {0871.35028}, language = {en}, url = {http://archive.numdam.org/item/JEDP_1996____A12_0/} }
TY - JOUR AU - Lin, Fang Hua TI - Rectifiability of defect measures, fundamental groups and density of Sobolev mappings JO - Journées équations aux dérivées partielles PY - 1996 SP - 1 EP - 14 PB - Ecole polytechnique UR - http://archive.numdam.org/item/JEDP_1996____A12_0/ LA - en ID - JEDP_1996____A12_0 ER -
Lin, Fang Hua. Rectifiability of defect measures, fundamental groups and density of Sobolev mappings. Journées équations aux dérivées partielles (1996), article no. 12, 14 p. http://archive.numdam.org/item/JEDP_1996____A12_0/
[AL] Singularities of energy minimizing maps from the ball to the sphere : examples, counterexamples, and bounds. Annals of Math. (2) 128, 1988, no. 3, 483-530. | MR | Zbl
, and ,[B] The approximation problem for Sobolev maps between two manifolds, Acta Math. 167, 1991, 153-206. | MR | Zbl
,[B2] A Characterization of maps in H1 (B3, S2) which can be approximated by smooth maps, Ann. Inst. H. Poincaré, Anal. Nonlineaire 7, 1990, 4, 269-286. | Numdam | MR | Zbl
,[BCDH] A cohomological criterion for density of smooth maps in Sobolev spaces between two manifolds, Nematics | Zbl
, , , and ,, , , and , ed. by J. M. Coron et al., NATO ASI Series, Kluwer Academic Publishers, 1990.
[Bu] Harmonic maps of finite energy from noncompact manifolds, J. London Math. Soc. 30, 1984, 361-370. | MR | Zbl
,[BBC] Relaxed energies for harmonic maps, Variational Methods, 1988, 37-52, Birkhauser, Boston, MA, 1990. | Zbl
, , and ,[CG] Minimizing p-harmonic maps into spheres, J. Reine Angrew Math. 401, 1989, 82-100. | MR | Zbl
, and ,[GMS] The Dirichlet energy of mappings with values into the sphere, Manuscripta Math. 65, 1989, 4, 489-507. | MR | Zbl
, , and ,[GMS2] The gap phenomenon for variational integrals in Sobolev spaces, preprint 1991. | Zbl
,[HL] Mapping minimizing the Lp-norm of the gradient, Comm. Pure and Appl. Math. 40, 1987, 555-588. | MR | Zbl
, and ,[HL2] A remark on H1-mappings, Manuscripta Math. 56, 1986, no. 1, 1-10. | MR | Zbl
, and ,[HLP] Axially symmetric harmonic maps minimizing a relaxed energy, Comm. Pure and Appl. Math. 45, 1992, 417-459. | MR | Zbl
, , and ,[L] Rectifiability of defect measures, fundamental groups and density of Sobolev maps, preprint.
,[P] Geometry of measures in ℝn : distribution, rectifiability, and densities, Ann. of Math. (2) 125, 1987, 537-643. | MR | Zbl
,[SU] A regularity theory for harmonic maps. J. Diff. Geom. 17, 1982, 307-335. | MR | Zbl
, and ,[SU2] Approximation theorems for Sobolev mappings, preprint, 1984.
, and ,[SY] The existence of incompressible minimal surfaces and topology of three-dimensional manifolds with non-negative scalar curvature, Ann. of Math. 110, 1979, 127-142. | MR | Zbl
, and ,[W] Homotopy classes in Sobolev spaces and existence of energy mminimizing maps, Acta Math. 160, 1988, 1-17. | MR | Zbl
,