2 citations · 2 across the 3 of their papers we have counts for
4 papers
Control of the isoperimetric deficit by the Willmore deficit
Matthias Röger, Reiner Schätzle
In the class of smoothly embedded surfaces of sphere type we prove that the isoperimetric deficit can be controlled by the Willmore deficit.
Semigroups Generated by Elliptic Operators in Non-Divergence Form on
Wolfgang Arendt, Reiner Schätzle
Given a bounded domain in the Euclidean space satisfying the uniform outer cone condition, we show that a uniformly elliptic operator of second order with continuous second order c…
Minimizers of the Willmore functional under fixed conformal class
Ernst Kuwert, Reiner Schätzle
We consider the problem of minimizing the Willmore energy in the class of conformal immersions of a given closed, genus p Riemann surface into R^n for n=3,4. We prove existence of…
Motion by anisotropic mean curvature as sharp interface limit of an inhomogeneous and anisotropic Allen-Cahn equation
Matthieu Alfaro, Harald Garcke, Danielle Hilhorst +2
We study the singular limit of a spatially inhomogeneous and anisotropic reaction-diffusion equation. We use a Finsler metric related to the anisotropic diffusion term and work in…