4 papers
Flowing to free boundary minimal surfaces
Melanie Rupflin, Michael Struwe, Christopher Wright
We introduce a flow that is designed to flow maps which map the boundary of a general domain surface into a given (not necessarily connected) submanifol…
A sharp quantitative stability result near infinitely concentrated minimisers
Melanie Rupflin, Sebastian Woodward
We consider the question of quantitative stability of minimisers for a well-known variational problem for which the infimum of the energy is not achieved in the classical sense, na…
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 in the plane: (1) Åojasiewicz estimates and quantitative rigidity for…
Lojasiewicz inequalities for almost harmonic maps near simple bubble trees
Melanie Rupflin
We prove Lojasiewicz inequalities for the harmonic map energy for maps from surfaces of positive genus into general analytic target manifolds which are close to simple bubble trees…