17:45 Uhr | Andrea Malchiodi (SISSA) | A variational approach to Liouville Equations
We consider Liouville equations arising from curvature prescription problems and from
models in Electroweak and Chern-Simons theory. We show how improved versions of
the Moser-Trudinger inequality, combined with min-max theory, may reduce these PDEs to
the study of finite-dimensional objects consisting of measures supported at finitely-many
points. These are joint works with D. Bartolucci, A. Carlotto, F. De Marchis and D. Ruiz.
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