Quasiconvexity versus group invariance

Details Quasiconvexity versus group invariance Quasiconvexity versus group invariance

2005-11-09

arxiv.org/abs/math/0511235v1

Mathematics

Analysis of PDEs

Lecture held on Feb. 22 at the Mathematical Institute, Oxford, Applied Analysis and Mechanics Seminars,Hilary Term 1999

Scientific paper

The lower invariance under a given arbitrary group of diffeomorphisms extends the notion of quasiconvexity. The non-commutativity of the group operation (the function composition) modifies the classical equivalence between lower semicontinuity and quasiconvexity. In this context null lagrangians are particular cases of integral invariants of the group. Developments of parts of this paper can be found in math.FA/0105097 . Further informations at http://irmi.epfl.ch/cag/buliga_necv.html .

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