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Q-curvature flow with indefinite nonlinearity

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 نشر من قبل Li Ma
 تاريخ النشر 2008
  مجال البحث
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 تأليف Li Ma




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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 $Delta_{S^4} f ot=0$ at the saddle points and an extra condition such as a nontrivial degree counting condition.



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