Orlicz–Sobolev regularity of mappings with subexponentially integrable distortion
Orlicz–Sobolev regularity of mappings with subexponentially integrable distortion
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].