Mappings of finite distortion: discreteness and openness for quasi-light mappings
Pekka Koskela
Department of Mathematics and Statistics, University of Jyväskylä, PO Box 35 (MaD), FIN-40014, Jyväskylä, FinlandStanislav Hencl
Department of Mathematics and Statistics, University of Jyväskylä, PO Box 35 (MaD), FIN-40014, Jyväskylä, Finland
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Abstract
Let be a continuous mapping so that the components of the preimage of each are compact. We show that is open and discrete if a.e. where and for a function that satisfies and some technical conditions. This divergence condition on is shown to be sharp.
Résumé
Soit une application continue telle que les composantes connexes de la préimage de tat point est compacte. On démontre que est ouverte et discrète si p.p. oi et pour une fonction telle que et vérifiant des conditions techniques. La condition de divergence de l'intégrale est optimale.
Cite this article
Pekka Koskela, Stanislav Hencl, Mappings of finite distortion: discreteness and openness for quasi-light mappings. Ann. Inst. H. Poincaré Anal. Non Linéaire 22 (2005), no. 3, pp. 331–342
DOI 10.1016/J.ANIHPC.2004.07.007