Nonlocal quasilinear variations of the chafee-infante problem
- Moraes Moreira, Estefani
- José Valero Cuadra Director
- Alexandre Nolasco de Carvalho Co-director
Defence university: Universidad Miguel Hernández de Elche
Fecha de defensa: 28 March 2023
- Everaldo de Mello Bonotto Chair
- Angel Gimenez Pastor Secretary
- Sergio H. Monari Soares Committee member
- Karina Schiabel Committee member
- Pedro Marín-Rubio Committee member
Type: Thesis
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.