11-06
Uniqueness for the Homogeneous Dirichlet Willmore boundary value problem
Preprint series: 11-06, Preprints
- MSC:
- 35G25 Initial value problems for nonlinear higher-order PDE, nonlinear evolution equations
Abstract: We prove that a Willmore surface which has its boundary on a strict star-shaped two-dimensional domain and which intersects the plane of the domain with a zero angle, along the boundary, is necessarily a piece of the plane.
Keywords: Willmore surfaces, Dirichlet boundary conditions, Pohozaev identity, conformal Gauss map
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