Abstract
The main aim of this paper is to study the Lipschitz continuity of certain \((K, K^{\prime })\)-quasiconformal map**s 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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Acknowledgements
The authors thank the referee for his/her careful reading and many useful comments. The first author was supported by Centre for International Co-operation in Science (CICS) through the award of “INSA JRD-TATA Fellowship” and was completed during her visit to the Indian Statistical Institute (ISI), Chennai Centre. The research was partly supported by NSF of China (No. 11571216 and No. 11671127). The second author is on leave from the IIT Madras.
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Communicated by Ronen Peretz.
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Li, P., Ponnusamy, S. Lipschitz Continuity of Quasiconformal Map**s and of the Solutions to Second Order Elliptic PDE with Respect to the Distance Ratio Metric. Complex Anal. Oper. Theory 12, 1991–2001 (2018). https://doi.org/10.1007/s11785-017-0716-y
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DOI: https://doi.org/10.1007/s11785-017-0716-y