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In this paper we consider the Balmu\c{s}-Montaldo-Oniciuc's conjecture in thecase of hemispheres. We prove that a compact non-minimal biharmonichypersurface in a hemisphere of $S^{n+1}$ must be the small hypersphere$S^{n}\left(1/\sqrt{2}\right)$, provided that $n^{2}-H^{2}$ does not changesign.

Biharmonic hypersurfaces in hemispheres