Iwaniec–Martin–Šverák conjecture on mappings of integrable inner distortion

Let $\Omega\subset\mathbb{R}^n$ be a domain, let $f\in W^{1,n}_{\operatorname{loc}}(\Omega,\mathbb{R}^n)$, and let $K_I(\cdot,f)$ denote the inner distortion of $f$. Assume that $K_I(\cdot,f)\in L^1_{\operatorname{loc}}(\Omega)$. Iwaniec–Martin–Šverák conjecture. The mapping $f$ is either constant or both discrete and open. This conjecture would strengthen the results discussed in the paper by implying discreteness and openness under merely integrable inner distortion. Its resolution is not given in the source.