The Gamma-limit of manifold-valued integral energies in Orlicz-Sobolev spaces is a tangential quasiconvex functional whose density is given by a cell formula under Delta2 and nabla2 conditions on the Young function.
Bethuel: approximation problem for Sobolev maps between two manifolds , Acta Math., 167 (1991), 153-206
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Homogenization and integral representation of energy functionals in manifold valued Orlicz-Sobolev spaces
The Gamma-limit of manifold-valued integral energies in Orlicz-Sobolev spaces is a tangential quasiconvex functional whose density is given by a cell formula under Delta2 and nabla2 conditions on the Young function.