On lower semicontinuity of multiple integrals
Colloquium Mathematicum, Tome 74 (1997) no. 1, pp. 71-78.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We give a new short proof of the Morrey-Acerbi-Fusco-Marcellini Theorem on lower semicontinuity of the variational functional $\int_{Ω} F(x,u,∇u)dx$. The proofs are based on arguments from the theory of Young measures.
DOI : 10.4064/cm-74-1-71-78

Agnieszka Kałamajska 1

1
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Agnieszka Kałamajska. On lower semicontinuity of multiple integrals. Colloquium Mathematicum, Tome 74 (1997) no. 1, pp. 71-78. doi : 10.4064/cm-74-1-71-78. http://geodesic.mathdoc.fr/articles/10.4064/cm-74-1-71-78/

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