dc.contributor.advisor |
Mahadevan, Rajesh; supervisor de grado |
es |
dc.contributor.advisor |
Lorca, Sebastián; supervisor de grado |
es |
dc.contributor.author |
Guajardo Bravo, Juan Carlos |
es |
dc.date.accessioned |
2021-03-05T10:43:18Z |
|
dc.date.available |
2021-03-05T10:43:18Z |
|
dc.date.issued |
2020 |
|
dc.identifier.uri |
http://repositorio.udec.cl/jspui/handle/11594/4643 |
|
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.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) |
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dc.rights.uri |
https://creativecommons.org/licenses/by-nc-nd/4.0/deed.es |
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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. |
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dc.type |
Tesis |
es |
dc.description.facultad |
Facultad de Ciencias Físicas y Matemáticas |
es |
dc.description.departamento |
Departamento de Matemática. |
es |