11 citations · 21 across the 6 of their papers we have counts for
6 papers
Optimal shapes for positivity preserving
Sascha Eichmann
We are looking for an optimal convex domain on which the boundary value problem $$\left\{\begin{array}{cc}(-Δ)^2 u_γ-γΔu_γ= f,& \mbox{ in }Ω\\ u_γ=\partial_νu_γ=0,& \mbox{ on }\par…
Improved long time existence for the Willmore flow of surfaces of revolution with Dirichlet data
Sascha Eichmann
To avoid possible singularities in the Willmore flow, one usually works under an energy threshold provided by the Li-Yau inequality. Here we improve this threshold by also consider…
Positivity for the clamped plate equation under high tension
Sascha Eichmann, Reiner M. Schätzle
In this article we consider positivity issues for the clamped plate equation with high tension . This equation is given by under clamped boundary conditions. He…
Lower regularity assumption for an Euler-Lagrange equation on the contact line of the phase dependent Helfrich energy
Sascha Eichmann
We examine the phase dependent Helfrich energy and show an Euler-Lagrange equation on the phase seperation line. This result has already been observed by e.g. Jülicher-Lipowski and…
Lower-semicontinuity for the Helfrich problem
Sascha Eichmann
We minimise the Canham-Helfrich energy in the class of closed immersions with prescribed genus, surface area and enclosed volume. Compactness is achieved in the class of oriented v…
The Helfrich Boundary Value Problem
Sascha Eichmann
We construct a branched Helfrich immersion satisfying Dirichlet boundary conditions. The number of branch points is finite. We proceed by a variational argument and hence examine t…