13 citations · 25 across the 9 of their papers we have counts for
8 papers · 1 filter
An Alt-Caffarelli problem for elastic graphs
Marius Müller
We study an Alt-Caffarelli-type free boundary problem for symmetric elastic graphs with fixed boundary height. Our results concern existence of minimizers and their description in…
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 $…
Polyharmonic equations involving surface measures
Marius Müller
This article studies (optimal) -regularity for the polyharmonic equation , where is a (suitably regular) …
On elliptic equations involving surface measures
Marius Müller
We show optimal Lipschitz regularity for very weak solutions of the (measure-valued) elliptic PDE in a smooth do…
An obstacle problem for the p-elastic energy
Anna Dall'Acqua, Marius Müller, Shinya Okabe +1
In this paper we consider an obstacle problem for a generalization of the p-elastic energy among graphical curves with fixed ends. Taking into account that the Euler--Lagrange equa…
Optimal thresholds for preserving embeddedness of elastic flows
Tatsuya Miura, Marius Müller, Fabian Rupp
We consider elastic flows of closed curves in Euclidean space. We obtain optimal energy thresholds below which elastic flows preserve embeddedness of initial curves for all time. T…
The elastic flow with obstacles: small obstacle results
Marius Müller
We consider a parabolic obstacle problem for Euler's elastic energy of graphs with fixed ends. We show global existence, well-posedness and subconvergence provided that the obstacl…
The Willmore Flow of Tori of Revolution
Anna Dall'Acqua, Marius Müller, Reiner Schätzle +1
We study long-time existence and asymptotic behavior for the -gradient flow of the Willmore energy, under the condition that the initial datum is a torus of revolution. We sho…