On lower semicontinuity of multiple integrals
Colloquium Mathematicum, Tome 74 (1997) no. 1, pp. 71-78
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.
@article{10_4064_cm_74_1_71_78,
author = {Agnieszka Ka{\l}amajska},
title = {On lower semicontinuity of multiple integrals},
journal = {Colloquium Mathematicum},
pages = {71--78},
year = {1997},
volume = {74},
number = {1},
doi = {10.4064/cm-74-1-71-78},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/cm-74-1-71-78/}
}
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
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