Otto-von-Guericke-Universität Magdeburg

 
 
 
 
 
 
 
 

11-06

by Dall'Acqua, A.

 

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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Letzte Änderung: 10.02.2016 - Ansprechpartner: Pierre Krenzlin