3 papers
math.DG2024
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…
math.AP2024
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…
math.AP2024
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 $…