Limit cases in an elliptic problem with a parameter-dependent boundary condition

In this work we discuss existence, uniqueness and asymptotic profiles of positive solutions to the quasilinear problem -Δpu+a(x)u p-1=-urin Ω, |∇u|p-2∂u/ ∂ν=λup-1on ∂Ω for λ∈ℝ, where r>p-1>0, a∈L∞(Ω). We analyze the existence of solutions in terms of a principal eigenvalue, and determi...

Descripción completa

Detalles Bibliográficos
Autor principal: Rossi, Julio Daniel
Publicado: 2011
Materias:
linear and nonlinear eigenvalue problems
sub- and super-solutions
variational methods
Asymptotic behaviors
Asymptotic profiles
Elliptic problem
Existence of Solutions
Nonlinear eigenvalue problem
Positive solution
Principal eigenvalues
Quasilinear problems
Variational methods
Eigenvalues and eigenfunctions
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09217134_v73_n3_p147_GarciaMelian
http://hdl.handle.net/20.500.12110/paper_09217134_v73_n3_p147_GarciaMelian
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_09217134_v73_n3_p147_GarciaMelian
record_format dspace
spelling paper:paper_09217134_v73_n3_p147_GarciaMelian2023-06-08T15:50:48Z Limit cases in an elliptic problem with a parameter-dependent boundary condition Rossi, Julio Daniel linear and nonlinear eigenvalue problems sub- and super-solutions variational methods Asymptotic behaviors Asymptotic profiles Elliptic problem Existence of Solutions Nonlinear eigenvalue problem Positive solution Principal eigenvalues Quasilinear problems sub- and super-solutions Variational methods Eigenvalues and eigenfunctions In this work we discuss existence, uniqueness and asymptotic profiles of positive solutions to the quasilinear problem -Δpu+a(x)u p-1=-urin Ω, |∇u|p-2∂u/ ∂ν=λup-1on ∂Ω for λ∈ℝ, where r>p-1>0, a∈L∞(Ω). We analyze the existence of solutions in terms of a principal eigenvalue, and determine their asymptotic behavior both when r→p-1 and when r→∞. © 2011 - IOS Press and the authors. All rights reserved. Fil:Rossi, J.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2011 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09217134_v73_n3_p147_GarciaMelian http://hdl.handle.net/20.500.12110/paper_09217134_v73_n3_p147_GarciaMelian
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic linear and nonlinear eigenvalue problems
sub- and super-solutions
variational methods
Asymptotic behaviors
Asymptotic profiles
Elliptic problem
Existence of Solutions
Nonlinear eigenvalue problem
Positive solution
Principal eigenvalues
Quasilinear problems
sub- and super-solutions
Variational methods
Eigenvalues and eigenfunctions
spellingShingle linear and nonlinear eigenvalue problems
sub- and super-solutions
variational methods
Asymptotic behaviors
Asymptotic profiles
Elliptic problem
Existence of Solutions
Nonlinear eigenvalue problem
Positive solution
Principal eigenvalues
Quasilinear problems
sub- and super-solutions
Variational methods
Eigenvalues and eigenfunctions
Rossi, Julio Daniel
Limit cases in an elliptic problem with a parameter-dependent boundary condition
topic_facet linear and nonlinear eigenvalue problems
sub- and super-solutions
variational methods
Asymptotic behaviors
Asymptotic profiles
Elliptic problem
Existence of Solutions
Nonlinear eigenvalue problem
Positive solution
Principal eigenvalues
Quasilinear problems
sub- and super-solutions
Variational methods
Eigenvalues and eigenfunctions
description In this work we discuss existence, uniqueness and asymptotic profiles of positive solutions to the quasilinear problem -Δpu+a(x)u p-1=-urin Ω, |∇u|p-2∂u/ ∂ν=λup-1on ∂Ω for λ∈ℝ, where r>p-1>0, a∈L∞(Ω). We analyze the existence of solutions in terms of a principal eigenvalue, and determine their asymptotic behavior both when r→p-1 and when r→∞. © 2011 - IOS Press and the authors. All rights reserved.
author Rossi, Julio Daniel
author_facet Rossi, Julio Daniel
author_sort Rossi, Julio Daniel
title Limit cases in an elliptic problem with a parameter-dependent boundary condition
title_short Limit cases in an elliptic problem with a parameter-dependent boundary condition
title_full Limit cases in an elliptic problem with a parameter-dependent boundary condition
title_fullStr Limit cases in an elliptic problem with a parameter-dependent boundary condition
title_full_unstemmed Limit cases in an elliptic problem with a parameter-dependent boundary condition
title_sort limit cases in an elliptic problem with a parameter-dependent boundary condition
publishDate 2011
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09217134_v73_n3_p147_GarciaMelian
http://hdl.handle.net/20.500.12110/paper_09217134_v73_n3_p147_GarciaMelian
work_keys_str_mv AT rossijuliodaniel limitcasesinanellipticproblemwithaparameterdependentboundarycondition
_version_ 1768544826453655552

Ejemplares similares