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...
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_09217134_v73_n3_p147_GarciaMelian |
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todo:paper_09217134_v73_n3_p147_GarciaMelian2023-10-03T15:45:39Z Limit cases in an elliptic problem with a parameter-dependent boundary condition García-Melián, J. Rossi, J.D. Sabina De Lis, J.C. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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 García-Melián, J. Rossi, J.D. Sabina De Lis, J.C. 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. |
| format |
JOUR |
| author |
García-Melián, J. Rossi, J.D. Sabina De Lis, J.C. |
| author_facet |
García-Melián, J. Rossi, J.D. Sabina De Lis, J.C. |
| author_sort |
García-Melián, J. |
| 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 |
| url |
http://hdl.handle.net/20.500.12110/paper_09217134_v73_n3_p147_GarciaMelian |
| work_keys_str_mv |
AT garciamelianj limitcasesinanellipticproblemwithaparameterdependentboundarycondition AT rossijd limitcasesinanellipticproblemwithaparameterdependentboundarycondition AT sabinadelisjc limitcasesinanellipticproblemwithaparameterdependentboundarycondition |
| _version_ |
1782027190303457280 |