A Uniqueness and Periodicity Result for Solutions of Elliptic Equations in Unbounded Domains
We proof a uniqueness and periodicity theorem for bounded solutions of uniformly elliptic equations in certain unbounded domains.
math.AP↗
arXiv subjects
Jens Dittrich
Publications and source records attributed to Jens Dittrich.
On Surfaces of Prescribed Weighted Mean Curvature
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 derive a differential equation for the normal of immersions with prescribed weighted mean curvature, generalising a result of Clarenz and von der Mosel. Next we study graphs of prescribed weighted mean curvature, for which a quasilinear elliptic equation is proved. Using this equation, we can show height and boundary gradient estimates. Finally, we solve the Dirichlet problem for graphs of prescribed weighted mean curvature.
math.DG↗