Lipschitz continuity of quasiconformal mappings and of the solutions to second order elliptic PDE with respect to the distance ratio metric

2017/06/30 by Peijin Li, Li, Peijin, Ponnusamy, Saminthan
Mathematics · #30C2 #30L10 #31A30 #31B30 #33C05 #35J05 #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations #Primary: 30C62 #Secondary: 26A16

paper · pdf · doi:10.48550/arxiv.1706.10175

openalex publication_date 2017/06/30 · openalex created_date 2017/07/14 · openalex updated_date 2026/07/28

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.

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