On quasiregular mappings between smooth Jordan domains (Q1039451)

It is proved that every proper quasiregular \(C^2\) mapping \(w=f(z)\) between two plane Jordan domains \(\Omega\in C^{1,\alpha}\) and \(G\in C^{2,\alpha}\), \(0< \alpha\leq 1\), satisfying the differential inequality \(|\Delta f|\leq M|\nabla f|^2+N\) is Lipschitz continuous. This extends the main result of the author and \textit{M. Mateljević} [J. Anal. Math. 100, 117--132 (2006; Zbl 1173.30311)].