On quasi-conformal self-mappings of the unit disc and elliptic PDEs in the plane
Published online by Cambridge University Press: 17 July 2013
Abstract
We prove the following theorem: if w is a quasi-conformal mapping of the unit disc onto itself satisfying elliptic partial differential inequality , then w is Lipschitz continuous. This result extends some recent results where, instead of an elliptic differential operator, only the Laplace operator is considered.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 143 , Issue 4 , August 2013 , pp. 831 - 849
- Copyright
- Copyright © Royal Society of Edinburgh 2013
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