BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

Topological and variational methods for the supercritical Moser-Trudinger equation. Martinazzi, Luca


We discuss the existence of critical points of the Moser-Trudinger functional in dimension 2 with arbitrarily prescribed Dirichlet energy using degree theory. If time permits, we will also sketch an approach on Riemann surfaces using a min-max method \'a la Djadli-Malchiodi. This talk is based on joint works (and a work in progress) with Francesca De Marchis, Olivier Druet, Andrea Malchiodi, Gabriele Mancini and Pierre-Damien Thizy.

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