Lipschitz continuity for solutions of the (a)-Poisson equation

• 来源期刊: 中国科学：数学（英文版）
• 年，卷（期）: 2019,（10）
• 页码范围: 1935-1946
• 页数: 12页
• 语种: 英文

摘要

In this paper,we study the Lipschitz continuity for solutions of the (a)-Poisson equation.After characterizing the boundary conditions for the Lipschitz continuity of (a)-harmonic mappings,we present four equivalent conditions for the (K,K')-quasiconformal solutions of the (a)-Poisson equation with a nonhomogeneous term to be Lipschitz continuous.