Seminari del Dipartimento
Analisi Matematica Critical points of the Moser-Trudinger functional on closed surfaces Luca Martinazzi 16-11-2022 - 16:30 Largo San Leonardo Murialdo, 1
Given a 2-dimensional closed surface, we will show that the Moser-Trudinger functional has critical points of arbitrarily high energy. Since the functional is too critical to directly apply to it the known variational methods (in particular the Struwe monotonicity trick), we will approximate it by subcritical ones, which in fact interpolate it to a Liouville-type functional from conformal geometry. Hence our result will also unify and give common results for these two apparently unrelated problems. This is a joint work with F. De Marchis, A. Malchiodi and P-D. Thizy. |