Abstract
We prove that for a mapping $f$ of finite distortion $K\in L^{p/(n-p)}$, the $(n-p)$-Hausdorff measure of any point preimage is zero provided $J_f$ is integrable, $Df\in L^s$ with $s>p$, and the multiplicity of $f$ is essentially bounded.
We prove that for a mapping $f$ of finite distortion $K\in L^{p/(n-p)}$, the $(n-p)$-Hausdorff measure of any point preimage is zero provided $J_f$ is integrable, $Df\in L^s$ with $s>p$, and the multiplicity of $f$ is essentially bounded.