BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

A double mean field approach for a curvature prescription problem. Battaglia, Luca


I will consider a double mean field-type Liouville PDE on a compact surface with boundary, with a nonlinear Neumann condition. This equation is related to the problem of prescribing both the Gaussian curvature and the geodesic curvature on the boundary. I will discuss blow-up analysis, a sharp Moser-Trudinger inequality for the energy functional, existence of minmax solution when the energy functional is not coercive. The talk is based on a work in progress with Rafael Lopez-Soriano (Universitat de Valencia).

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