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.)
• Programa de doctorado: Programa de Doctorado en Estadística, Optimización y Matemática Aplicada por la Universidad Miguel Hernández de Elche
• Materias:
  • Matemáticas
    • Análisis y análisis funcional
      • Ecuaciones diferenciales en derivadas parciales
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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.