Abstract
New lower semicontinuity results for quasiconvex integrals. In particular, under certain structure conditions and growth 0≤F(ξ)≤C(∣≤∣q) the functional ∫ΩF(∇u)dx is proved to be lower semicontinuous onW1,q with respect to the weak convergence inW1,p, p≥q−1.
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