Nonlocal quasilinear variations of the chafee-infante problem

  1. Moraes Moreira, Estefani
Supervised by:
  1. José Valero Cuadra Director
  2. Alexandre Nolasco de Carvalho Co-director

Defence university: Universidad Miguel Hernández de Elche

Fecha de defensa: 28 March 2023

Committee:
  1. Everaldo de Mello Bonotto Chair
  2. Angel Gimenez Pastor Secretary
  3. Sergio H. Monari Soares Committee member
  4. Karina Schiabel Committee member
  5. Pedro Marín-Rubio Committee member

Type: Thesis

Teseo: 800674 DIALNET

Abstract

In this work, we developed some results on nonlocal quasilinear variations of the Chafee-Infante problem. In the non-autonomous quasilinear case, we will show the existence of special solutions known as ``non-autonomous equilibria''. In the autonomous quasilinear case, we will exhibit the existence of a sequence of bifurcation of equilibria, for which we will analyze the stability and hyperbolicity. We will also exhibit the attractor of the global attractor for a particular case. In the last chapter, we will construct a concept of isolating block for multivalued problems and we will make an application of such concept.