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- W1965900426 abstract "Lower semicontinuity results with respect to weak-∗ convergence in the sense of measures and with respect to weak convergence in Lp are obtained for functionals v∈L1(Ω;Rm)↦∫Ωf(x,v(x))dx,where admissible sequences {vn} satisfy a first order system of PDEs Avn=0. We suppose that A has constant rank, f is A-quasiconvex and satisfies the non standard growth conditions 1C(|v|p−1)⩽f(v)⩽C(1+|v|q)with q∈[p,pN/(N−1)) for p⩽N−1, q∈[p,p+1) for p>N−1. In particular, our results generalize earlier work where Av=0 reduced to v=∇su for some s∈N." @default.
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- W1965900426 date "2004-04-01" @default.
- W1965900426 modified "2023-09-26" @default.
- W1965900426 title "A-quasiconvexity: weak-star convergence and the gap" @default.
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- W1965900426 doi "https://doi.org/10.1016/j.anihpc.2003.01.003" @default.
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