Lipschitz regularity of harmonic quasiconformal maps between Lyapunov domains in ${\mathbb{R}}^n$

Anton Gjokaj, David Kalaj

We prove that every sense-preserving harmonic $K$--quasiconformal homeomorphism $f:D\to \hat{I}\text{c◯}$ between Lyapunov domains (equivalently, bounded $C^{1,\hat{I}\pm }$ domains) in $\mathbb{R}^…