## Workshop

Data evento:

Wednesday, January 31, 2018 - 15:00

Ore 15,00: Mercoledì 31 Gennaio 2018 - Aula Seminari - SBAI

Ore 15,00:

María Medina

Pontificia Universidad Católica de Chile

A first example of nondegenerate sign-changing solution for the Yamabe problem with maximal rank

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, for n = 4, provides the first example in the literature of a

solution with maximal rank.

This is a joint work with M. Musso and J. Wei.

Tea and...something

Ore 16,15:

Benedetta Pellacci

Università degli studi della Campania “Luigi Vanvitelli”

Nonlinear Helmholtz equations: some existence results

The aim of this talk is to present some existence results of radially

symmetric oscillating solutions for a class of nonlinear autonomous

Helmholtz equations and in particular to analyse their exact asymptotic

behavior at infinity. Some generalizations to non-autonomous radial

equations as well as existence results for non-radial solutions will

be discussed. These results are linked with the existence of standing

waves solutions of nonlinear wave equations with large frequencies.

Joint work with Rainer Mandel (Karlsruher Institut fur Technologie)

and Eugenio Montefusco (”Sapienza” Universit di Roma)

Allegati: