Let (M , g) be a smooth, compact Riemannian manifold of dimension n 7. We consider the Paneitz-Branson type equationA is a smooth symmetrical (2, 0)-tensor fields, a is a smooth function on M , 2 = 2n n−4 is the critical exponent for the Sobolev embedding and ε is a small positive parameter. Under suitable conditions on the TrgA, we construct solutions uε which blow up at one point of the manifold as ε goes to zero.
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