RELAXATION OF FUNCTIONALS INVOLVING HOMOGENEOUS FUNCTIONS AND INVARIANCE OF ENVELOPES
Mahmoud Bousselsal, Hervé Le Dret · Chinese Annals of Mathematics Series B · 2002
The authors compute the quasiconvex envelope of certain functions defined on the space Mmn of real m × n matrices via a homogeneous function on Mmn. They also deduce invariance properties for various convex envelopes from corresponding invariance properties satisfied by a function. Some applications related in particular to nonlinear elasticity are given.