Rectifiability of the distributional Jacobian for a class of functions;Rectifiabilité de la mesure Jacobienne pour une classe de fonctions

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

Volumn 329, Issue 8, 1999, Pages 683-688

  Jerrard, Robert Leon ^a   Soner, Halil Mete ^b  

^a UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

^b PRINCETON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033569289     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0764-4442(00)88217-8     Document Type: Article

References (13)

1. [1] Ambrosio L., Metric space valued functions of bounded variation, Ann. Scuola Norm. Sup. Pisa Cl. Sci. 17 (3) (1990) 439-478.
2. [2] Ball J., Convexity conditions and existence theorems in nonlinear elasticity, Arch. Rat. Mech. Anal. 63 (1977) 337-403.
3. 2 ) which can be approximated by smooth maps, Ann. Inst. H.-Poincaré, Anal. Non Lin. 7 (4) (1990) 269-286.
4. [4] Brézis H., Coron J.-M., Lieb E., Harmonic maps with defects, Commun. Math. Phys. 107 (1986) 649-705.
5. [5] Coifman R., Lions P.-L., Meyer Y., Semmes S., Compensated compactness and Hardy spaces, J. Math. Pures Appl. 72 (3) (1993) 247-286.
6. [6] Giaquinta M., Modica G., Souček J., Cartesian currents in the calculus of variations, I. Cartesian currents, Springer-Verlag, 1998.
7. [7] Giaquinta M., Modica G., Souček J., Cartesian currents in the calculus of variations, II. Variational integrals, Springer-Verlag, 1998.
8. [8] Jerrard R.L., Soner H.M., Functions of bounded higher variation, Preprint, 1999.
9. [9] Müller S., Weak continuity of determinants and nonlinear elasticity, C. R. Acad. Sci. Paris 307 (9) Série I (1988) 501-506.
10. [10] Müller S., Det = det. A remark on the distributional determinant, C. R. Acad. Sci. Paris 311 (1) Série I (1990) 13-17.
11. 1, J. Reine Angew. Math. 412 (1990) 20-34.
12. [12] Müller S., On the singular support of the distributional determinant, Ann. Inst. H.-Poincaré, Anal. Non Lin. 10 (6) (1993) 657-696.
13. [13] Simon L., Lectures on geometric measure theory, Australian National University, 1984.