Nonlocal quasilinear variations of the chafee-infante problem

  1. Moraes Moreira, Estefani
Zuzendaria:
  1. José Valero Cuadra Zuzendaria
  2. Alexandre Nolasco de Carvalho Zuzendarikidea

Defentsa unibertsitatea: Universidad Miguel Hernández de Elche

Fecha de defensa: 2023(e)ko martxoa-(a)k 28

Epaimahaia:
  1. Everaldo de Mello Bonotto Presidentea
  2. Angel Gimenez Pastor Idazkaria
  3. Sergio H. Monari Soares Kidea
  4. Karina Schiabel Kidea
  5. Pedro Marín-Rubio Kidea

Mota: Tesia

Teseo: 800674 DIALNET

Laburpena

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.