We consider a small perturbation of the geometric Paneitz equation (Equation presented) on a smooth, compact Riemannian manifold of dimension N ≥ 9. Here Ag, B are smooth and symmetric (2, 0)-tensor fields and Qg is the Q-curvature of g. Under suitable conditions, we construct solutions that blow up at one point of the manifold. This implies immediately that the equation (PB)0 is not stable.
On the stability for paneitz-type equations
Vaira G.
2012-01-01
Abstract
We consider a small perturbation of the geometric Paneitz equation (Equation presented) on a smooth, compact Riemannian manifold of dimension N ≥ 9. Here Ag, B are smooth and symmetric (2, 0)-tensor fields and Qg is the Q-curvature of g. Under suitable conditions, we construct solutions that blow up at one point of the manifold. This implies immediately that the equation (PB)0 is not stable.File in questo prodotto:
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