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Liouville type theorems for biharmonic maps

Conference: 
Palestinian Conference on Modern Trends in Mathematics and Physics II
Authors: 
Seddik Ouakkas
Abstract: 

We prove Liouville type theorems for biharmonic maps from complete manifolds and from Euclidean balls.
A variant of these Liouville-type problems is the study of the Dirichlet problem with constant boundary data, specifically, one aims to show that a harmonic map with constant boundary data is constant. In the case when the domain is a Euclidean ball.

Full Text: 
PDF icon Liouville type theorems for biharmonic maps