Wolff–Denjoy theorems in nonsmooth convex domains

By Marco Abate, Jasmin Raissy. 2012

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We give a short proof of Wolff–Denjoy theorem for (not necessarily smooth) strictly convex domains. With similar techniques we are also able to prove a Wolff–Denjoy theorem for weakly convex domains, again without any smoothness assumption on the boundary.

Subfields: Applied Mathematics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/1848fdf1cbd8b3457c0a636e51663f7fa1f32950