On a homeomorphic solution to a multidimensional analog of the Beltrami equation

We consider the overdetermined system of partial differential equations
$$ \bar{\partial}_kf(z)=\sum_{s=1}^n\partial_sf(z)\mu_k^s(z), $$
$k=1,\dots,n$, $z\in\mathbb{C}^n$, which is a multidimensional analog of the Beltrami equation $\bar{\partial}f(z)=\mu(z)\partial f(z)$. We suppose that the coefficients of the system are sufficiently small in magnitude and possess generalized derivatives. An existence theorem is proven for a homeomorphic solution $f\colon\mathbb{C}^n\to\mathbb{C}^n$. The theorem allows us to describe the main properties of solutions to this system.