Article ID Journal Published Year Pages File Type
4606532 Differential Geometry and its Applications 2009 11 Pages PDF
Abstract

In this work, we investigate the existence of parabolic graphs of constant mean curvature H   in H3H3 whose boundary is given a priori, under hypothesis relating H   with the geometry of the domain and a condition on the boundary data that, by analogy with a similar problem for vertical graphs in R3R3, we denominated it by bounded slope condition.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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