Quantitative estimates for the relative isoperimetric problem and its gradient flow outside convex bodies in the plane

Elena Mäder-Baumdicker, Robin Neumayer, Jiewon Park +1

We prove three related quantitative results for the relative isoperimetric problem outside a convex body $\hat{I}\text{c◯}$ in the plane: (1) Łojasiewicz estimates and quantitative rigidity for…