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http://repositorio.yachaytech.edu.ec/handle/123456789/538| Title: | Existence of a ground state solution for a quasilinear Schrödinger-Kirchhoff type equation |
| Authors: | Mayorga Zambrano, Juan Ricardo Macancela Bojorque, Abraham Mateo |
| Keywords: | Ecuación Schrödinger-Kirchhoff no lineal Condición Palais Smale Género de Krasnoselskii Multiplicidad de soluciones Cálculo de variaciones Nonlinear Schrödinger-Kirchhoff equation Palais Smale condition Krasnoselskii’s genus Multiplicity of solutions Calculus of variations |
| Issue Date: | Jun-2022 |
| Publisher: | Universidad de Investigación de Tecnología Experimental Yachay |
| Abstract: | En esta tesis probamos la existencia de una solución no trivial para la ecuación integro diferencial no lineal de tipo Schrödinger-Kirchhoff. Para ello, consideramos propiedades de un funcional asociado a nuestro problema principal y utilizando un esquema Ljusternik-Schnirelman que involucra el género de Kranoselskii. Este resultado amplía los obtenidos por Duang & Huang (2014) y Nie & Wu (2012), que sólo se cumplen para p = 2. |
| Description: | In this thesis, we prove the existence of a ground state solution for the nonlinear Schrödinger- Kirchhoff type integro-differential equation. In order to do this, we consider properties of a functional associated to our main problem and using a Ljusternik- Schnirelman scheme involving the Kranoselskii’s genus. This result extends those obtained by Duang & Huang (2014) and Nie & Wu (2012), which hold only for p = 2. |
| URI: | http://repositorio.yachaytech.edu.ec/handle/123456789/538 |
| Appears in Collections: | Matemática |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| ECMC0106.pdf | 622.08 kB | Adobe PDF | View/Open |
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