Datensatz

Zusammenfassung

In this article we consider the Dirichlet problem for hypersurfaces of aniso- tropic prescribed mean curvature H = H(x, u, N) depending on $${x \in \varOmega \subset \mathbb {R}^n}$$, the height u of the hypersurface M = graph u over $${\varOmega}$$ and the unit normal N to M at (x, u). We give a condition relating H and the mean curvature of $${\partial \varOmega}$$ that guarantees the existence of smooth solutions even for not necessarily convex domains.