Every complete mean convex asymptotically conical self-expander in R^{n+1}, n≥3, with a mean convex and weakly convex asymptotic cone is strictly convex.
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Convexity of mean convex asymptotically conical self-expanders to the mean curvature flow
Every complete mean convex asymptotically conical self-expander in R^{n+1}, n≥3, with a mean convex and weakly convex asymptotic cone is strictly convex.