Joint BCAM-UPV/EHU Analysis and PDE seminar: Large conformal metrics with prescribed gauss and geodesic curvatures

Date: Thu, Feb 15 2024

Hour: 15:30-16:30

Location: bcaM - Basque Center for Applied Mathematics 

Speakers: Rayssa Caju (she/her) - Universidad de Chile

In this talk, our goal is to discuss the existence of at least two distinct conformal metrics with prescribed gaussian curvature and geodesic curvature respectively, $K_{g}= f + \lambda$ and $k_{g}= h + \mu$, where f and h are nonpositive functions and $\lambda$ and $\mu$ are positive constants. Utilizing Struwe's monotonicity trick, we investigate the blowup behavior of the solutions and establish a non-existence result for the limiting PDE, eliminating one of the potential blow-up profiles.

Confirmed speakers:

Rayssa Caju (she/her) - Universidad de Chile