Blow-up analysis and partial regularity results for Liouville type equations

Abstract: Due to the presence of the exponential nonlinearity, the Liouville equation in dimension three and higher is supercritical. In particular, it admits several singular solutions. We will talk about asymptotic behavior of a family of stationary solutions, and how to use it to obtain partial regularity results.

analysis of PDEsdifferential geometry

Audience: researchers in the topic

Online Seminar "Geometric Analysis"

Series comments: We discuss recent trends related to geometric analysis in a broad sense. The general idea is to solve geometric problems by means of advanced tools in analysis. We will include a wide range of topics such as geometric flows, curvature functionals, discrete differential geometry, and numerical simulation.

Registration and links to videos available at blatt.sbg.ac.at/onlineseminar.php