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Lower semicontinuity of quasi-convex integrals in BV

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Abstract.

Some boundedness properties for an extension operator are proved and used together with techniques of Malý [24], Meyers [29], Fonseca and Müller [13] and Fonseca and Marcellini [12] to obtain lower semicontinuity results in BV for quasiconvex integrals of super-linear growth.

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Received January 25, 1997 / Accepted October 3, 1997

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Kristensen, J. Lower semicontinuity of quasi-convex integrals in BV. Calc Var 7, 249–261 (1998). https://doi.org/10.1007/s005260050108

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  • DOI: https://doi.org/10.1007/s005260050108

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