**abstract:**
We study a prescribed Q-curvature problem in the Euclidean space R^{4,} assuming to have power-type and sign-changing
Q-curvature. Geometrically, finding a solution to this problem, corresponds to find a metric conformal
to the Euclidean one on R^{4,} which has the assigned prescribed Q-curvature.
First, under suitable assumptions, we prove existence of non-normal solutions to our problem,
extending in this way some previous results.
Then, we prove a classification result, which allows us to characterize solutions in terms of the behavior at infinity
of the scalar curvature of the associated conformal metric.
We also present the corresponding problem on the plane.

Wed 20 Sep, 15:30 - 16:30, Aula Dini

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