Proceedings of the American Mathematical Society

Author(s): Robert S. Strichartz
Journal: Proc. Amer. Math. Soc. 130 (2002), 805-817.
MSC (2000): Primary 28A80, 58E20
Posted: August 28, 2001
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Harmonic mappings from the Sierpinski gasket to the circle are described explicitly in terms of boundary values and topological data. In particular, all such mappings minimize energy within a given homotopy class. Explicit formulas are also given for the energy of the mapping and its normal derivatives at boundary points.

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 28A80, 58E20

Robert S. Strichartz
Affiliation: Department of Mathematics, Malott Hall, Cornell University, Ithaca, New York 14853
Email: str@math.cornell.edu

DOI: 10.1090/S0002-9939-01-06243-8
PII: S 0002-9939(01)06243-8
Keywords: Sierpinski gasket, harmonic mappings, analysis on fractals, self--similar Dirichlet form
Received by editor(s): September 15, 2000
Posted: August 28, 2001
Additional Notes: This research was supported in part by the National Science Foundation, Grant DMS 9970337
Communicated by: Christopher D. Sogge
Copyright of article: Copyright 2001, American Mathematical Society

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