On an open problem about how to recognize constant functions

Houston Journal of Mathematics

Volumn 31, Issue 1, 2005, Pages 285-304

  Ignat, Radu ^a  

^a UNIVERSITÉ PIERRE ET MARIE CURIE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 17244380876     PISSN: 03621588     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (6)

1. R.A. Adams, Sobolev spaces, Academic Press, New York, 1975 (Pure and Applied Mathematics, 65)
2. H. Brezis, How to recognize constant functions. A connection with Sobolev spaces (Russian), Uspekhi Mat. Nauk 57(2002), 59-74. English version to appear in Russian Math. Surveys, volume in honor of M. Vishik
3. R.B. Darst, Some Cantor sets and Cantor functions, Math. Mag. 45 (1972), 2-7
4. M. Giaquinta, G. Modica and J. Soucek, Cartesian Currents in the Calculus of Variations, vol. I, Springer, 1998
5. J.H. Halton, Random sequences in generalized Cantor sets, J. Sci. Comput.6 (1991), no.4, 415-423
6. A. Ponce, A new approach to Sobolev spaces and connections to Γ-convergence, Calc. Var. Partial Differential Equations, to appear