# Homogenization of variational problems in manifold valued Sobolev spaces

Jean-François Babadjian; Vincent Millot

ESAIM: Control, Optimisation and Calculus of Variations (2010)

- Volume: 16, Issue: 4, page 833-855
- ISSN: 1292-8119

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topBabadjian, Jean-François, and Millot, Vincent. "Homogenization of variational problems in manifold valued Sobolev spaces." ESAIM: Control, Optimisation and Calculus of Variations 16.4 (2010): 833-855. <http://eudml.org/doc/250739>.

@article{Babadjian2010,

abstract = {
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].
},

author = {Babadjian, Jean-François, Millot, Vincent},

journal = {ESAIM: Control, Optimisation and Calculus of Variations},

keywords = {Homogenization; Γ-convergence; manifold valued maps; -convergence},

language = {eng},

month = {10},

number = {4},

pages = {833-855},

publisher = {EDP Sciences},

title = {Homogenization of variational problems in manifold valued Sobolev spaces},

url = {http://eudml.org/doc/250739},

volume = {16},

year = {2010},

}

TY - JOUR

AU - Babadjian, Jean-François

AU - Millot, Vincent

TI - Homogenization of variational problems in manifold valued Sobolev spaces

JO - ESAIM: Control, Optimisation and Calculus of Variations

DA - 2010/10//

PB - EDP Sciences

VL - 16

IS - 4

SP - 833

EP - 855

AB -
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].

LA - eng

KW - Homogenization; Γ-convergence; manifold valued maps; -convergence

UR - http://eudml.org/doc/250739

ER -

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