Annales Academiæ Scientiarum Fennicæ
Mathematica
Volumen 34, 2009, 607-613

HOMEOMORPHIC SOLUTIONS TO REDUCED BELTRAMI EQUATIONS

Kari Astala and Jarmo Jääskeläinen

University of Helsinki, Department of Mathematics and Statistics
P.O. Box 68, FI-00014 University of Helsinki, Finland; kari.astala 'at' helsinki.fi

University of Helsinki, Department of Mathematics and Statistics
P.O. Box 68, FI-00014 University of Helsinki, Finland; jarmo.jaaskelainen 'at' helsinki.fi

Abstract. We study differential expressions related to linear families of quasiconformal mappings and give a simple and direct proof to a result due to Alessandrini and Nesi [1].

2000 Mathematics Subject Classification: Primary 30C62; Secondary 35J45.

Key words: Quasiconformal mappings, Beltrami operators, elliptic PDEs, G-closure problems.

Reference to this article: K. Astala and J. Jääskeläinen: Homeomorphic solutions to reduced Beltrami equations. Ann. Acad. Sci. Fenn. Math. 34 (2009), 607-613.

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