Relaxation of functionals involving homogeneous functions and invariance of envelopes

DOI10.1142/S0252959902000055zbMath1010.49009OpenAlexW2137409661MaRDI QIDQ1600015

Hervé Le Dret, Mahmoud Bousselsal

Publication date: 22 August 2002

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0252959902000055

zbMATH Keywords

nonlinear elasticityminimizationhomogeneous functionweak lower semicontinuityquasiconvex envelope

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Energy minimization in equilibrium problems in solid mechanics (74G65) Methods involving semicontinuity and convergence; relaxation (49J45) Crystals in solids (74N05)

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Cites Work

• General existence theorems for Hamilton-Jacobi equations in the scalar and vectorial cases
• Numerical analysis of oscillations in multiple well problems
• Relaxation of some functionals of the calculus of variations
• Quasi-convexity and the lower semicontinuity of multiple integrals
• The quasiconvex envelope of the Saint Venant–Kirchhoff stored energy function