Nonlocal quasilinear variations of the chafee-infante problem

  1. Moraes Moreira, Estefani
Dirigée par:
  1. José Valero Cuadra Directeur/trice
  2. Alexandre Nolasco de Carvalho Co-directeur/trice

Université de défendre: Universidad Miguel Hernández de Elche

Fecha de defensa: 28 mars 2023

Jury:
  1. Everaldo de Mello Bonotto President
  2. Angel Gimenez Pastor Secrétaire
  3. Sergio H. Monari Soares Rapporteur
  4. Karina Schiabel Rapporteur
  5. Pedro Marín-Rubio Rapporteur

Type: Thèses

Teseo: 800674 DIALNET

Résumé

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.