31 citations · 37 across the 15 of their papers we have counts for
16 papers
A unified approach to the divergence equation and related functional inequalities
Filippo Gazzola, Hans-Christoph Grunau, Gianmarco Sperone
The huge amount of literature about the divergence equation in bounded Lipschitz domains of () is fairly disconnected and even apparently simple problems remain unsol…
Regular Curves, Singular Graphs: Cantor Parts and the Relaxed Willmore Energy
Hans-Christoph Grunau, Boris Gulyak
One might expect that finite relaxed elastic energy rules out diffuse singularities in the derivative, leaving only absolutely continuous and jump parts. This is suggested by the r…
Global minimizers for a two-sided biharmonic Alt-Caffarelli problem
Hans-Christoph Grunau, Marius Müller
We study global minimizers of biharmonic analogues of the Alt-Caffarelli functional. It turns out that half-space solutions are global minimizers for the two-sided Alt-Caffarelli f…
On the basin of attraction for the free boundary free elastic flow
Klaus Deckelnick, Hans-Christoph Grunau, Robert Nürnberg +2
The free boundary free elastic flow is the steepest descent gradient flow for the elastic energy of curves meeting parallel lines perpendicularly. In this article we prove that the…
A biharmonic analogue of the Alt-Caffarelli problem
Hans-Christoph Grunau, Marius Müller
We study a natural biharmonic analogue of the classical Alt-Caffarelli problem, both under Dirichlet and under Navier boundary conditions. We show existence, basic properties and $…
Willmore obstacle problems under Dirichlet boundary conditions
Hans-Christoph Grunau, Shinya Okabe
We consider obstacle problems for the Willmore functional in the class of graphs of functions and surfaces of revolution with Dirichlet boundary conditions. We prove the existence…