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math.AP2020
Boundary value problems for a special Helfrich functional for surfaces of revolution
Klaus Deckelnick, Marco Doemeland, Hans-Christoph Grunau
The central object of this article is (a special version of) the Helfrich functional which is the sum of the Willmore functional and the area functional times a weight factor $\var…
math.AP2015
Minimising a relaxed Willmore functional for graphs subject to boundary conditions
Klaus Deckelnick, Hans-Christoph Grunau, Matthias Röger
For a bounded smooth domain in the plane and smooth boundary data we consider the minimisation of the Willmore functional for graphs subject to Dirichlet or Navier boundary conditi…