Special Weingarten surfaces with planar convex boundary

Abstract

We prove a Ros-Rosenberg theorem in the setting of Special Weingarten surfaces. We show that a compact, connected, embedded, Special Weingarten surface in $\mathhb{R}^3$ with planar convex boundary is a topological disk under mild suitable assumptions.

22 pages, 13 figures. We did slight improvements in the proof of Lemma 4.1, added new figures and corrected some typos