Quasiregular mappings and Young measures

Royal Society of Edinburgh - Proceedings A

Volumn 132, Issue 5, 2002, Pages 1045-1056

  Astala, Kari ^a   Faraco, Daniel ^a  

^a UNIVERSITY OF JYVÄSKYLÄ   (Finland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037131690     PISSN: 03082105     EISSN: None     Source Type: Journal    
DOI: 10.1017/s0308210500002006     Document Type: Conference Paper

References (15)

1. K. Astala. Area distortion of quasiconformal mappings. Acta Math. 173 (1994), 37-60.
2. K. Astala, T. Iwaniec and E. Saksman. Beltrami operators in the plane. Duke Math. J. 107 (2001), 27-56.
3. J.M. Ball and R.D. James. Microstructure and quasiregular maps. Lecture at University of Sussex (1999).
4. M. Chlebík and B. Kircheim. Rigidity for the four gradient problem. (Preprint.).
5. G. Dolzman and S. Müller. Microstructures with finite surface energy: the two-well problem. Arch. Ration. Mech. Analysis 132 (1995), 101-141.
6. D. Faraco. Beltrami operators and microstructure. Doctoral thesis, University of Helsinki (2002).
7. T. Iwaniec and G. Martin. Function theory and nonlinear analysis. Oxford Mathematical Monographs (Oxford: Clarendon Press, 2001).
8. O. Lehto and K. Virtanen. Quasiconformal mappings in the plane, 2nd edn. (Springer, 1973).
9. S. Müller. Variational models for microstructure and phase transitions. In Calculus of variations and geometric evolution problems. Lecture Notes in Mathematics, vol. 1713, pp. 85-210 (Springer, 1999).
10. S. Müller. A sharp version of Zhang's theorem on truncating sequences of gradients. Trans. Am. Math. Soc. 351 (1999), 4585-4597.
11. P. Pedregal. Parametrized measures and Variational principles (Birkhäuser, 1997).
12. V. Šverák. New examples of quasiconvex functions. Arch. Ration. Mech. Analysis 19 (1992), 293-300.
13. V. Šverák. On regularity for the Monge Ampère equation without convexity assumptions. (Preprint.).
14. K. Zhang. A construction of quasiconvex functions with linear growth at infinity. Annli Scuola Norm. Sup. Pisa 19 (1992), 313-326.
15. 2×2 without rank-one connections. Proc. R. Soc. Edinb. A 127 (1997), 207-216.