Γ-convergence and Sobolev norms

Comptes Rendus Mathematique

Volumn 345, Issue 12, 2007, Pages 679-684

  Nguyen, Hoai Minh ^a  

^a RUTGERS UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 36749028194     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crma.2007.11.005     Document Type: Article

References (15)

1. Bourgain J., Brezis H., and Mironescu P. Another look at Sobolev spaces. In: Menaldi J.L., Rofman E., and Sulem A. (Eds). Optimal Control and Partial Differential Equations, A volume in honour of A. Bensoussan's 60th birthday (2001) 439-455
2. Bourgain J., Brezis H., and Nguyen H.-M. A new estimate for the topological degree. C. R. Acad. Sci. Paris, Ser. I 340 (2005) 787-791
3. Bourgain J., and Nguyen H.-M. A new characterization of Sobolev spaces. C. R. Acad. Sci. Paris, Ser. I 343 (2006) 75-80
4. Braides A. Γ-Convergence for Beginners. Oxford Lecture Series in Mathematics and its Applications vol. 22 (2002), Oxford University Press, Oxford
5. Brezis H. How to recognize constant functions. A connections with Sobolev spaces. Volume in honor of M. Vishik, Uspekhi Mat. Nauk 57 (2002) 59-74 English translation in
6. Brezis H. How to recognize constant functions. A connections with Sobolev spaces. Russian Math. Surveys 57 (2002) 693-708
7. Brezis H. New questions related to the topological degree. The Unity of Mathematics, A volume in honor of ninetieth birthday of I.M. Gelfand. Progr. Math. vol. 244 (2006), Birkhäuser Boston, Boston, MA 137-154
8. Chiron D. On the definition of Sobolev and BV spaces into metric spaces and the trace problem. Commun. Contemp. Math. 7 (2007) 473-513
9. Evans L.C., and Gariepy R.F. Measure Theory and Fine Properties of Functions. Studies in Advanced Mathematics (1992), CRC Press, Boca Raton FL
10. Dal Maso G. An Introduction to Γ-Convergence. Progress in Nonlinear Differential Equations and their Applications vol. 8 (1993), Birkhäuser Boston, Inc., Boston, MA
11. Nguyen H.-M. Some new characterizations of Sobolev spaces. J. Funct. Anal. 237 (2006) 689-720
12. Nguyen H.-M. Optimal constant in a new estimate for the degree. J. Analyse Math. 101 (2007) 367-395
13. Nguyen H.-M. Further characterizations of Sobolev spaces. J. European Math. Soc. 10 (2008) 191-229
14. H.-M. Nguyen, Γ-convergence, Sobolev norms, and BV functions, in preparation
15. H.-M. Nguyen, Some inequalities related to Sobolev norms, in preparation