B. Dacorogna, I. Fonseca, J. Malý, K. Trivisa
The integral representation for the relaxation of a class of energy
functionals where the admissible fields are constrained to remain
on a
m-dimensional manifold
is
obtained. If
is a continuous
function satisfying
for
and for all
then
where
is open, bounded, and
is the tangential quasiconvexification of f at
belong to the tangent space
to
at
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