Conformal metrics with prescribed boundary mean curvature on balls

We provide a variety of classes of functions that can be realized as the mean curvature on the boundary of the standard n dimensional ball, n ≥ 3, with respect to some scalar flat metric. Because of the presence of some critical nonlinearity, blow up phenomena occur and existence results are highly...

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Veröffentlicht in:Annals of global analysis and geometry 2009-12, Vol.36 (4), p.327-362
Hauptverfasser: Abdelhedi, Wael, Chtioui, Hichem, Ould Ahmedou, Mohameden
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Sprache:eng
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