Lower semi-continuity of integrals with G-quasiconvex potential

Details Lower semi-continuity of integrals with G-quasiconvex potential Lower semi-continuity of integrals with G-quasiconvex potential

2001-05-11

arxiv.org/abs/math/0105097v5

Z. Angew. Math. Phys. 53 (2002), no. 6, 949-961

Mathematics

Functional Analysis

Scientific paper

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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