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

Peijin Li; Saminthan Ponnusamy

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arXiv · 1706.10175

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

Peijin Li·Saminthan Ponnusamy

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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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BibTeX RIS

Peijin Li, Saminthan Ponnusamy. 2017-06-30. Lipschitz continuity of quasiconformal mappings and of the solutions to second order elliptic PDE with respect to the distance ratio metric. https://arxiv.org/abs/1706.10175

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