PARAMETRIC SURFACES WITH PRESCRIBED MEAN CURVATURE

This article contains an overview on some old and new prob- lems concerning two-dimensional parametric surfaces in R 3 with pre- scribed mean curvature. Part of this exposition has constituted the subject of a series of lectures held by the first author at the Department of Math- ematics of the University of Torino, during the Third Turin Fortnight on Nonlinear Analysis (September 23-28, 2001).

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