Special Session 80: 

A maximal nondegenerate sign changing solution for the Yamabe problem

Maria Medina
Pontificia Universidad Catolica de Chile
Chile
Co-Author(s):    
Abstract:
In this talk we will construct a sequence of nondegenerate (in the sense of Duyckaerts-Kenig-Merle) nodal nonradial solutions to the critical Yamabe problem $$-\Delta u=\frac{n(n-2)}{4}|u|^{\frac{4}{n-2}}u,\qquad u\in\mathcal{D}^{1,2}(\mathbb{R}^n),$$ which provides the first example in the literature of a solution with maximal rank. This is a joint work with M. Musso and J. Wei.