Palestras e Seminários
20/08/2024
14:00
Online / à distância
Palestrante: Juliana Fernandes
Webinar on Evolution Equations and Dynamical Systems
Resumo: Our main goal is to exploit the interplay between variational methods and dynamical systems. In particular, we use the so-called Nehari manifold to provide a picture of the phase plane, divided into regions of convergence over time. For the related semilinear stationary elliptic equation, general questions on the existence, multiplicity, and nonexistence of positive solutions have been discussed. The existence problem for sign-changing solutions is somewhat more delicate, with only a few results available in the literature. We tackle this problem by using Ambrosetti and Rabinowitz Mountain Pass Theorem on Nehari.
This is a joint work with L. Maia.
Link: No SITE
