Abstract
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 non-negative Q-curvature f has its positive part, which possesses non-degenerate critical points such that Δ S 4 f ≠ 0 at the saddle points and an extra condition such as a nontrivial degree counting condition.
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