On the overdetermined system about surfaces with parallel mean curvature vector field
نویسندگان
چکیده
منابع مشابه
Serrin’s Overdetermined Problem and Constant Mean Curvature Surfaces
For all N ≥ 9, we find smooth entire epigraphs in R , namely smooth domains of the form Ω := {x ∈ R / xN > F (x1, . . . , xN−1)}, which are not half-spaces and in which a problem of the form ∆u+ f(u) = 0 in Ω has a positive, bounded solution with 0 Dirichlet boundary data and constant Neumann boundary data on ∂Ω. This answers negatively for large dimensions a question by Berestycki, Caffarelli ...
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ژورنال
عنوان ژورنال: Kodai Mathematical Journal
سال: 2002
ISSN: 0386-5991
DOI: 10.2996/kmj/1071674458