Nonlocal quasilinear variations of the Chafee-Infante problem

• Ano de defesa: 2023
• Autor(a) principal: Moreira, Estefani Moraes
• Tipo de documento: Tese
• Tipo de acesso: Acesso aberto
• Idioma: eng
• Instituição de defesa: Biblioteca Digitais de Teses e Dissertações da USP
• Palavras-chave em Português: Bifurcação; Bifurcation; Chafee-Infante problems; Estrutura do atrator; Hiperbolicidade; Hyperbolicity; Nonlocal problems; Problemas de Chafee-Infante; Problemas não-locais; Problemas quasilineares; Quasilinear problems; Structure of the attractor
• Link de acesso: https://www.teses.usp.br/teses/disponiveis/55/55135/tde-12062023-163429/

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.