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Lower semi-continuity of integrals with G-quasiconvex potential

Marius Buliga
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Abstract

This paper introduces the proper notion of variational quasiconvexity associated to a group of diffeomorphisms. We prove a lower semicontinuity theorem connected to this notion. In the second part of the paper we apply this result to a class of functions introduced in [5]. Such functions are $GL(n,R)^{+}$ quasiconvex, hence they induce lower semicontinuous integrals.

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Marius Buliga. 2001-11-05. Lower semi-continuity of integrals with G-quasiconvex potential. https://doi.org/10.1007/pl00012621

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