Quasiconvexity versus group invariance

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

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Analysis of PDEs, Functional Analysis

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http://salesiana.dossiersoluciones.com/handle/123456789/104856

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0511235
 http://arxiv.org/abs/math/0511235

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arXiv