Optimal regularity for planar mappings of finite distortion

Kari Astala, James Gill, Steffen Rohde +1

Let $f:Ω\to\IR^2$ be a mapping of finite distortion, where $Ω\subset\IR^2 .$ Assume that the distortion function $K(x,f)$ satisfies $e^{K(\cdot ,f)}\in L_{loc}^p(\Omega )$ for some $p>0.…