## Workshop

Data evento:
Mercoledì, 31 Gennaio, 2018 - 15:00

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

Ore 15,00:

María Medina

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: