Nonlocal quasilinear variations of the chafee-infante problem

Autores: Estefani Moraes Moreira
Directores de la Tesis: José Valero Cuadra (dir. tes.) , Alexandre Nolasco de Carvalho (codir. tes.) , José María Amigó García (tut. tes.)
Lectura: En la Universidad Miguel Hernández de Elche ( España ) en 2023
Idioma: español
Tribunal Calificador de la Tesis: Everaldo de Mello Bonotto (presid.) , Angel Gimenez Pastor (secret.) , Karina Schiabel (voc.) , Pedro Marín-Rubio (voc.) , Sergio H. Monari Soares (voc.)
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Resumen
- 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.