Orlicz–Sobolev regularity of mappings with subexponentially integrable distortion
Albert Clop
Universidad Autonoma de Barcelona, Bellaterra, SpainPekka Koskela
University of Jyväskylä, Finland
Abstract
We study regularity properties of mappings of finite distortion. We show that some sort of self-improvement phenomena hold also when only subexponential integrability is assumed for the distortion function. We extend to this setting results by Faraco, Koskela and Zhong [9] and Bildhauer, Fuchs and Zhong [6].
Cite this article
Albert Clop, Pekka Koskela, Orlicz–Sobolev regularity of mappings with subexponentially integrable distortion. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 20 (2009), no. 4, pp. 301–326
DOI 10.4171/RLM/548