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MiS Preprint
44/2006

On the De Giorgi Conjecture in Half spaces

John Andersson

Abstract

We prove that the De Giorgi conjecture isn't true in half spaces $x_1>0$, even if the boundary data is nonzero and the restriction of a one dimensional solution to $x_1=0$.

Received:
Apr 25, 2006
Published:
Apr 25, 2006
MSC Codes:
35J25, 35J60
Keywords:
De Giorgi Conjecture, Geometry of solutions, Level sets

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2006 Repository Open Access
John Andersson

On the De Giorgi conjecture in half spaces