3 citations · 3 across the 1 of their papers we have counts for
4 papers
On the Dirichlet problem for prescribed mean curvature equation over general domains
Matthias Bergner
We study and solve the Dirichlet problem for graphs of prescribed mean curvature in over general domains without requiring a mean convexity assumption. By usi…
A Uniqueness and Periodicity Result for Solutions of Elliptic Equations in Unbounded Domains
Matthias Bergner, Jens Dittrich
We proof a uniqueness and periodicity theorem for bounded solutions of uniformly elliptic equations in certain unbounded domains.
On Surfaces of Prescribed Weighted Mean Curvature
Matthias Bergner, Jens Dittrich
Utilizing a weight matrix we study surfaces of prescribed weighted mean curvature which yield a natural generalisation to critical points of anisotropic surface energies. We first…
On two-dimensional immersions of prescribed mean curvature in R^n
Matthias Bergner, Steffen Froehlich
We consider two-dimensional immersions of disc-type in R^n. We focus well known classical concepts and study the nonlinear elliptic systems of such mappings. Using an Osserman-type…