Sobre um Sistema do tipo Schrödinger-Poisson

• Autor(a) principal: Batista, Alex de Moura
• Data de Publicação: 2012
• Tipo de documento: Dissertação
• Idioma: por
• Título da fonte: Biblioteca Digital de Teses e Dissertações da UFPB
• Texto Completo: https://repositorio.ufpb.br/jspui/handle/tede/7369
• topic: Ground state Bound state; Variedade de Nehari; Argumentos de Minimização; Lema Splitting; Princípio Variacional de Ekeland; Teorema de Linking; Ground state; Bound state; Variety of Nehari; Minimization arguments; Splitting Lemma; The Ekeland Variational Principle; Linking Theorem; CIENCIAS EXATAS E DA TERRA::MATEMATICA

In this dissertation, we study the existence of two types of non-negative weak solutions for a class of problems of Schrodinger-Poisson type. This kind of problem models, for example, several physical phenomena in quantum mechanics. Initially, by minimization arguments, Splitting Lemma and the Variational Principle of Ekeland we find a weak solution that minimizes the minimum energy level associated to the variety of Nehari N. This is the so-called ground state solution. Afterwards we will find, by using the Linking Theorem, a strictly positive weak solution which is not a ground state solution: the so-called bound state solution.