Relaxation of functionals involving homogeneous functions and invariance of envelopes

Chinese Annals of Mathematics. Series B

Volumn 23, Issue 1, 2002, Pages 37-53

  Bousselsal, M ^a   Le Dret, H ^a  

^a Ministere de l'Enseignement Superieure et de la Recerche Scientifique   (Algeria)

Author keywords

Homogeneous functions; Nonlinear elasticity; Quasiconvex envelope

Indexed keywords

EID: 0036005032     PISSN: 02529599     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0252959902000055     Document Type: Article

References (17)

1. Convexity conditions and existence theorems in nonlinear elasticity
2. Null Lagrangians, weak continuity and variational problems of arbitrary order
3. Relaxation of some functionals of the calculus of variations
4. Rank-one-convex and quasiconvex envelopes for functions depending on quadratic forms
5. Numerical analysis of oscillations in multiple well problems
6. Numerical modeling of the microstructure of crystals with symmetry-related variants
7. Direct methods in the calculus of variations
8. On rank one convex functions which are homogeneous of degree one
9. General existence theorems for Hamilton-Jacobi equations in the Scalar and vectorial cases
10. Remarks on the quasiconvex envelope of stored energy functions in nonlinear elasticity
11. The quasiconvex envelope of the Saint Venant-Kirchhoff stored energy function
12. Quasiconvexity and the semicontinuity of multiple integrals
13. Compensated compactness and applications to partial differential equations