22 citations · 34 across the 10 of their papers we have counts for
13 papers
Curvature Varifolds with Orthogonal Boundary
Ernst Kuwert, Marius Müller
We consider the class of -dimensional surfaces in which intersect orthogonally along the boundary. A piece of an af…
An area bound for surfaces in Riemannian manifolds
Victor Bangert, Ernst Kuwert
Let be a compact Riemannian manifold not containing any totally geodesic surface. Our main result shows that then the area of any complete surface immersed into is bounded…
Reflection of Willmore surfaces with free boundaries
Ernst Kuwert, Tobias Lamm
We study immersed surfaces in which are critical points of the Willmore functional under boundary constraints. The two cases considered are when the surface meets a…
Asymptotic estimates for the Willmore flow with small energy
Ernst Kuwert, Julian Scheuer
Kuwert and Schätzle showed in 2001 that the Willmore flow converges to a standard round sphere, if the initial energy is small. In this situation, we prove stability estimates for…
Asymptotics of Willmore minimizers with prescribed small isoperimetric ratio
Ernst Kuwert, Yuxiang Li
We consider surfaces in of type which minimize the Willmore functional with prescribed isoperimetric ratio. The existence of smooth minimizers was p…
Local solutions to a free boundary problem for the Willmore functional
Roberta Alessandroni, Ernst Kuwert
We consider a free boundary problem for the Willmore functional. Given a smooth domain in , we construct Willmore disks wich are critical in the class of surface…