Zurück zu den Preprints des Jahres 2011


2011-06

Uniqueness for the Homogeneous Dirichlet Willmore boundary value problem

by Dall'Acqua, A..


Series: 2011-06, Preprints

MSC:
35G25 Initial value problems for nonlinear higher-order 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