Issue |
ESAIM: COCV
Volume 16, Number 4, October-December 2010
|
|
---|---|---|
Page(s) | 833 - 855 | |
DOI | https://doi.org/10.1051/cocv/2009025 | |
Published online | 31 July 2009 |
Homogenization of variational problems in manifold valued Sobolev spaces
1
CMAP, UMR 7641, École polytechnique, 91128 Palaiseau, France. babadjian@cmap.polytechnique.fr
2
Université Paris Diderot – Paris 7, CNRS, UMR 7598, Laboratoire Jacques-Louis Lions, 75005 Paris, France. millot@math.jussieu.fr
Received:
14
November
2008
Homogenization of integral functionals is studied under the constraint that admissible maps have to take their values into a given smooth manifold. The notion of tangential homogenization is defined by analogy with the tangential quasiconvexity introduced by Dacorogna et al. [Calc. Var. Part. Diff. Eq. 9 (1999) 185–206]. For energies with superlinear or linear growth, a Γ-convergence result is established in Sobolev spaces, the homogenization problem in the space of functions of bounded variation being the object of [Babadjian and Millot, Calc. Var. Part. Diff. Eq. 36 (2009) 7–47].
Mathematics Subject Classification: 74Q05 / 49J45 / 49Q20
Key words: Homogenization / Γ-convergence / manifold valued maps
© EDP Sciences, SMAI, 2009
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.