On the De Giorgi Conjecture in Half spaces
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Submission date: 25. Apr. 2006
MSC-Numbers: 35J25, 35J60
Keywords and phrases: De Giorgi Conjecture, Geometry of solutions, Level sets
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We prove that the De Giorgi conjecture isn't true in half spaces , even if the boundary data is nonzero and the restriction of a one dimensional solution to .