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| RELAXATION OF FUNCTIONALS INVOLVING HOMOGENEOUS FUNCTIONS AND INVARIANCE OF ENVELOPES |
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Citation： |
M. BOUSSELSAL,H. Le DRET.RELAXATION OF FUNCTIONALS INVOLVING HOMOGENEOUS FUNCTIONS AND INVARIANCE OF ENVELOPES[J].Chinese Annals of Mathematics B,2002,23(1):37~53 |
| Page view： 1512
Net amount： 956 |
Authors： |
M. BOUSSELSAL; H. Le DRET |
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| Abstract： |
The authors compute the quasiconvex envelope of certain functions defined on the space M_{mn} of real m\times n matrices via a homogeneous function on M_{mn}. 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. |
Keywords： |
Homogeneous functions, Quasiconvex envelope, Nonlinear elasticity |
Classification： |
32T27, 74B20 |
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