Uniqueness for the Homogeneous Dirichlet Willmore boundary value problem

by Dall'Acqua, A.


Preprint series: 11-06, Preprints

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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Letzte Änderung: 01.03.2018 - Ansprechpartner:

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