Concentration and multiplicity of solutions for a non-linear Schrödinger equation with critical frequency: infinite case

In this work we prove existence, multiplicity, concentration phenomena and decay of solutions for the nonlinear Schrödinger equation. Using the properties of the Krasnoselskii genus and by a Ljusternik-Schnirelman scheme we prove the existence of an infinite number of solutions vk,ε, wk for (Pε) and...

• Autore principale: Aguas Barreno, Ariel Alejandro (author)
• Natura: bachelorThesis
• Lingua: eng
• Pubblicazione: 2021
• Soggetti: Ecuación de Schrödinger No-lineal; Caso infinito; Frecuencia crítica; Multiplicidad; Concentración; Nonlinear Schrödinger equation; Infinite case; Critical frequency; Multiplicity; Concentration
• Accesso online: http://repositorio.yachaytech.edu.ec/handle/123456789/415