3 papers
math.AP2026
Stability of the free boundary Willmore problem
Anna Dall'Acqua, Fabian Rupp, Reiner Schätzle +1
We study the Willmore problem with free boundary by means of a new Åojasiewicz-Simon gradient inequality for functionals on infinite dimensional manifolds. In contrast to previous…
math.AP2025
The length-preserving elastic flow with free boundary on hypersurfaces in
Anna Dall'Acqua, Manuel Schlierf
We study the length-preserving elastic flow of curves in arbitrary codimension with free boundary on hypersurfaces. This constrained gradient flow is given by a nonlocal evolution…
math.AP2025
Dimension reduction for Willmore flows of tori: fixed conformal class and analysis of singularities
Anna Dall'Acqua, Marius Müller, Fabian Rupp +1
This work studies Willmore flows of tori and their singularities via a dimension reduction approach. We introduce a Willmore flow that preserves the degenerate constraint of prescr…