2 papers
math.AP2020
The Biharmonic Alt-Caffarelli Problem in 2D
Marius Müller
We examine a variational free boundary problem of Alt-Caffarelli type for the biharmonic operator with Navier boundary conditions in two dimensions. We show interior C2-regularity…
math.AP2019
On the Convergence of the Elastic Flow in the Hyperbolic Plane
Marius Müller, Adrian Spener
We examine the L^2-gradient flow of Euler's elastic energy for closed curves in hyperbolic space and prove convergence to the global minimizer for initial curves with elastic energ…