Title: Lipschitz continuity of quasiconformal mappings and of the solutions to second order elliptic PDE with respect to the distance ratio metric,
Abstract: The main aim of this paper is to study the Lipschitz continuity of certain
$(K, K')$-quasiconformal mappings with respect to the distance ratio metric,
and the Lipschitz continuity of the solution of a quasilinear differential
equation with respect to the distance ratio metric.