Calculus of Variations and Geometric Measure Theory
home | mail | papers | authors | news | seminars | events | open positions | login

Entire solutions for Liouville systems

Luca Battaglia

created by malchiodi on 10 Dec 2017

18 dec 2017 -- 14:00   [open in google calendar]

Scuola Normale Superiore, Aula Mancini

Abstract.

I will consider a system of two coupled Liouville equations on the plane. The system admits so-called scalar solutions, namely such that the two components coincide. These solutions actually solve a scalar Liouville equation on the plane, hence they are very well known and they have been completely classified. On the other hand, much less is known about non-scalar solutions. Using bifurcation theory, I will show the existence of some branches of (non-scalar) solutions bifurcating from a scalar solution. This is a joint work with Francesca Gladiali and Massimo Grossi.

Credits | Cookie policy | HTML 5 | CSS 2.1