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Original Articles

Local boundary dilatation attained by asymptotical extremal

Pages 275-283 | Received 15 May 2014, Accepted 19 Jul 2015, Published online: 02 Nov 2015
 

Abstract

In this paper, we prove that the local boundary dilatation at a boundary point can be attained by an asymptotically extremal representative in a Teichmüller equivalence class.

AMS Subject Classifications:

Acknowledgements

The author would like to thank the referee for his comments and suggestions which improved the exposition and clarity.

Notes

No potential conflict of interest was reported by the authors.

Additional information

Funding

The author was supported by the National Natural Science Foundation of China [grant number 11271216].

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