Positive radial solutions for quasilinear equations = Soluciones radiales positivas para ecuaciones cuasilineales.
| dc.contributor.advisor | Mahadevan, Rajesh | es |
| dc.contributor.advisor | Lorca, Sebastián | es |
| dc.contributor.author | Guajardo Bravo, Juan Carlos | es |
| dc.date.accessioned | 2021-03-05T10:43:18Z | |
| dc.date.accessioned | 2024-05-15T19:23:45Z | |
| dc.date.accessioned | 2024-08-28T22:40:03Z | |
| dc.date.available | 2021-03-05T10:43:18Z | |
| dc.date.available | 2024-05-15T19:23:45Z | |
| dc.date.available | 2024-08-28T22:40:03Z | |
| dc.date.issued | 2020 | |
| dc.description | Tesis para optar al grado de Doctor en Matemática. | es |
| dc.description.abstract | The study of existence, multiplicity and non-existence of positive solutions to semi-linear and quasi-linear elliptic equations is relevant to many applications ranging from thermal iginition of gases [14], quantum field theory and statistical mehcanics [7], gravitational equilibrium of stars [19] etc. This work aims to study the existence, multiplicity and no-existence of positive radial solutions(other than the 0 solution) to the problem div(A(|∇u|)∇u) + λk(|x|)f(u) = 0, x ∈ Ω. (1.0.1) in symmetric exterior domains Ω ⊂ R n (complements of balls centered at the origin) for n ≥ 2. The non negative functions A, k and f satisfy certain properties that we will specify later and λ > 0 is a parameter. The class of functions A which we consider will include A(|p|) = |p| m−2 , m > 1 associated to the m-laplacian operator div (|∇u| m−2∇u) (non linear if m 6= 2 and coincides with the Laplacian for m = 2) applicable to diffusion problems. The class will also include slight perturbations . | es |
| dc.description.departamento | Departamento de Matemática. | es |
| dc.description.facultad | Facultad de Ciencias Físicas y Matemáticas | es |
| dc.identifier.uri | https://repositorio.udec.cl/handle/11594/4643 | |
| dc.language.iso | eng | es |
| dc.publisher | Universidad de Concepción. | es |
| dc.rights | Creative Commoms CC BY NC ND 4.0 internacional (Atribución-NoComercial-SinDerivadas 4.0 Internacional) | |
| dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/4.0/deed.es | |
| dc.subject | Teoría de Punto Fijo | es |
| dc.subject | Bases de Schauder | es |
| dc.subject | Análisis Funcional | es |
| dc.title | Positive radial solutions for quasilinear equations = Soluciones radiales positivas para ecuaciones cuasilineales. | es |
| dc.title.alternative | Soluciones radiales positivas para ecuaciones cuasilineales. | |
| dc.type | Tesis | es |