JournalsrlmVol. 20, No. 4pp. 301–326

Orlicz–Sobolev regularity of mappings with subexponentially integrable distortion

  • Pekka Koskela

    University of Jyväskylä, Finland

  • Albert Clop

    Universidad Autonoma de Barcelona, Bellaterra, Spain
Orlicz–Sobolev regularity of mappings with subexponentially integrable distortion cover
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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

Pekka Koskela, Albert Clop, 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