EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHEMATIQUE (BEOGRAD) (N.S.)
Vol. 75(89), pp. 3–8 (2004)

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ON SOLUTIONS OF THE BELTRAMI EQUATION. II

Melkana A. Brakalova and James A. Jenkins

Mathematics Department, Fordham University, Rose Hill Campus, 441 East Fordham Rd, Bronx, NY 10458 and Department of Mathematics, Washington University, Campus Box 1146, St. Louis, MO 63130-4899, USA

Abstract: We study the existence of solutions of the generalized Beltrami equation $f_{\bar z}=\mu(z)f_z$, $\|\mu(z)\|_\infty=1$, in a plane domain $\Delta$, under general conditions that include previously known results.

Classification (MSC2000): 30C62

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