On lower semicontinuity of multiple integrals
Tom 74 / 1997
Colloquium Mathematicum 74 (1997), 71-78
DOI: 10.4064/cm-74-1-71-78
Streszczenie
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.
