CVGMT Seminarshttp://cvgmt.sns.it/seminars/en-usSun, 20 May 2018 16:02:55 +0000A new gluing phenomenon for metrics of prescribed Q-curvature in dimension 6http://cvgmt.sns.it/seminar/641/2018-05-23: <a href="/person/181/">L. Martinazzi</a>.<p>Contrary to the Yamabe case, metric of prescribed Q-curvature (which we will briefly discuss) in dimension 4 and higher, can blow-up both on isolated points and on higher dimensional submanifolds, as discovered by Adimurthi, F. Robert and M. Struwe. We will show, in a radially symmetric situation, that both kind of blow-up behaviour can happen at the same time.This is based on a joint work with A. Hyder.</p>http://cvgmt.sns.it/seminar/641/A nonlocal isoperimetric problem with dipolar repulsionhttp://cvgmt.sns.it/seminar/642/2018-06-06: S. Thilo.<p>We study a functional in which perimeter and regularized dipolar repulsion compete under a volume constraint.</p><p>In contrast to previously studied similar problems, the nonlocal term contributes to the perimeter term to leading order for small regularization parameters.</p><p>Indeed, below a critical value for the dipolar strength, the limiting functional is a renormalized perimeter and for small, positive regularization parameters the minimizers are balls.At critical dipolar strength, we identify the next-order Gamma-limit and prove that a continuous pertubation of the problem has non-spherical minimizers for some masses.</p><p>Furthermore, for a wide class of nonlocal isoperimetric problems, we establish existence of generalized minimizers by interpreting them as minimizers of suitably relaxed functionals.</p>http://cvgmt.sns.it/seminar/642/Well-posedness of ODE's in metric measure spaceshttp://cvgmt.sns.it/seminar/634/2018-09-24: <a href="/person/3/">L. Ambrosio</a>.http://cvgmt.sns.it/seminar/634/The isoperimetric problem in the Euclidean space with densitieshttp://cvgmt.sns.it/seminar/635/2018-09-24: <a href="/person/151/">A. Pratelli</a>.http://cvgmt.sns.it/seminar/635/How a minimal surface leaves a thin obstaclehttp://cvgmt.sns.it/seminar/636/2018-09-24: E. Spadaro.http://cvgmt.sns.it/seminar/636/