Mathematics – Differential Geometry
Scientific paper
2008-09-28
Mathematics
Differential Geometry
7 pages
Scientific paper
In this note, we study Q-curvature flow on $S^4$ with indefinite nonlinearity. Our result is that the prescribed Q-curvature problem on $S^4$ has a solution provided the prescribed Q-curvature $f$ has its positive part, which possesses non-degenerate critical points such that $\Delta_{S^4} f\not=0$ at the saddle points and an extra condition such as a nontrivial degree counting condition.
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