Geodesic
Quasi Convex Integrands and Lower Semicontinuity in BV
Journal of convex analysis, Tome 8 (2001) no. 2, pp. 369-386
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We discuss the lower semicontinuity of multiple integrals of the calculus of variations, for quasi convex integrands in BV setting. The main result is a lower semicontinuity theorem with respect to weak convergence in BV, i.e. L1-convergence of equi-BV sequences, under mild assumptions on the integrand. The approach we propose here is based on two main results: 
@article{JCA_2001_8_2_JCA_2001_8_2_a3,
     author = {P. Brandi and A. Salvadori},
     title = {Quasi {Convex} {Integrands} and {Lower} {Semicontinuity} in {BV}},
     journal = {Journal of convex analysis},
     pages = {369--386},
     year = {2001},
     volume = {8},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JCA_2001_8_2_JCA_2001_8_2_a3/}
}
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P. Brandi; A. Salvadori. Quasi Convex Integrands and Lower Semicontinuity in BV. Journal of convex analysis, Tome 8 (2001) no. 2, pp. 369-386. http://geodesic.mathdoc.fr/item/JCA_2001_8_2_JCA_2001_8_2_a3/