TY - ELEC
AU - Luca Battaglia
PY - 2019
TI - A double mean field approach for a curvature prescription problem.
LA - eng
M3 - Moving Image
AB - 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).
N2 - 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).
UR - https://open.library.ubc.ca/collections/48630/items/1.0385101
ER - End of Reference