by Dall'Acqua, A., Deckelnick, K., Grunau, H.-Ch..

**Series:** 2007-48, Preprints

- MSC:
- 53C42 Immersions (minimal, prescribed curvature, tight, etc.)
- 35J65 Nonlinear boundary value problems for linear elliptic equations
- 49K20 Problems involving partial differential equations

**Abstract:**

We consider the Willmore equation with Dirichlet boundary conditions for a surface of revolution

obtained by rotating the graph of a positive smooth even function. We show existence of a regular

solution by minimisation. Instead of minimising the Willmore functional we reformulate the problem

in the hyperbolic half plane and we minimise the corresponding

**Keywords:**

rotationally symmetric Willmore surfaces, hyperbolic half plane

**This paper was published in:**

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