Geodesic
First General Lower Semicontinuity and Relaxation Results for Strong Materials
Journal of convex analysis, Tome 17 (2010) no. 1, pp. 183-202 Cet article a éte moissonné depuis la source Heldermann Verlag

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We consider the case of strong materials, i.e. the situation where the growth of integrands from below guarantees the lack of discontinuities for deformations with finite energy. We show that, in this case, both lower semicontinuity and relaxation results relay on the a.e. differentiability property of admissible deformations and on the uniform convergence of weakly convergent sequences bounded in energy.
Classification : 35F30, 35J55, 49K20, 73G05
Mots-clés : Integral functionals, lower semicontinuity, relaxation, mathematical theory of elasticity, strong materials 
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     author = {M. A. Sychev},
     title = {First {General} {Lower} {Semicontinuity} and {Relaxation} {Results} for {Strong} {Materials}},
     journal = {Journal of convex analysis},
     pages = {183--202},
     year = {2010},
     volume = {17},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JCA_2010_17_1_JCA_2010_17_1_a13/}
}
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M. A. Sychev. First General Lower Semicontinuity and Relaxation Results for Strong Materials. Journal of convex analysis, Tome 17 (2010) no. 1, pp. 183-202. http://geodesic.mathdoc.fr/item/JCA_2010_17_1_JCA_2010_17_1_a13/