Marius Müller

activity

20202023

most citedOptimal thresholds for preserving embeddedness of elastic flows

7 citations · 12 across the 8 of their papers we have counts for

collaborators

10 papers

math.DG2023

Short closed geodesics and the Willmore energy

Marius Müller, Fabian Rupp, Christian Scharrer

We prove a lower bound on the length of closed geodesics for spheres with Willmore energy below $6 π$ . The energy threshold is optimal and the inequality cannot be extended to surfa…

math.AP2023

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 $…

math.AP2022

Polyharmonic equations involving surface measures

Marius Müller

This article studies (optimal) $W^{2 m - 1, \infty}$ -regularity for the polyharmonic equation $(- Δ)^{m} u = Q H^{n - 1} └ Γ$ , where $Γ$ is a (suitably regular) $(n - 1)$ …

math.AP2022★ 1 cited

On elliptic equations involving surface measures

Marius Müller

We show optimal Lipschitz regularity for very weak solutions of the (measure-valued) elliptic PDE $- div (A (x) \nabla u) = Q H^{n - 1} └ Γ$ in a smooth do…

math.DG2022

Curvature Varifolds with Orthogonal Boundary

Ernst Kuwert, Marius Müller

We consider the class $S_{⊥}^{m} (Ω)$ of $m$ -dimensional surfaces in $Ω ˉ \subset R^{n}$ which intersect $S = \partial Ω$ orthogonally along the boundary. A piece of an af…

math.AP2022

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…