Layer profiles of solutions to elliptic problems under parameter-dependent boundary conditions
We consider the unique positive solution to the equation Δu = u r in ,where r > 1 and Ω is a smooth bounded domain of ℝN, under one of the boundary conditions u = λ, ∂u/∂ν = λ, ∂u/∂ν = λu or ∂u/∂ν = λu - uq on ∂, Ωq > 1. The main interest is determining the exact layer behavior of this...
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_02322064_v29_n4_p451_GarciaMelian |
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todo:paper_02322064_v29_n4_p451_GarciaMelian2023-10-03T15:11:18Z Layer profiles of solutions to elliptic problems under parameter-dependent boundary conditions García-Melián, J. Rossi, J.D. De Lis, J.C.S. Boundary layers Dependence on parameters Elliptic equations We consider the unique positive solution to the equation Δu = u r in ,where r > 1 and Ω is a smooth bounded domain of ℝN, under one of the boundary conditions u = λ, ∂u/∂ν = λ, ∂u/∂ν = λu or ∂u/∂ν = λu - uq on ∂, Ωq > 1. The main interest is determining the exact layer behavior of this solution near ∂ in terms of the parameter λ as λ → ∞ Our analysis is completed with the study of the same type of problems involving the p-Laplacian operator. © European Mathematical Society. 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_02322064_v29_n4_p451_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 |
Boundary layers Dependence on parameters Elliptic equations |
| spellingShingle |
Boundary layers Dependence on parameters Elliptic equations García-Melián, J. Rossi, J.D. De Lis, J.C.S. Layer profiles of solutions to elliptic problems under parameter-dependent boundary conditions |
| topic_facet |
Boundary layers Dependence on parameters Elliptic equations |
| description |
We consider the unique positive solution to the equation Δu = u r in ,where r > 1 and Ω is a smooth bounded domain of ℝN, under one of the boundary conditions u = λ, ∂u/∂ν = λ, ∂u/∂ν = λu or ∂u/∂ν = λu - uq on ∂, Ωq > 1. The main interest is determining the exact layer behavior of this solution near ∂ in terms of the parameter λ as λ → ∞ Our analysis is completed with the study of the same type of problems involving the p-Laplacian operator. © European Mathematical Society. |
| format |
JOUR |
| author |
García-Melián, J. Rossi, J.D. De Lis, J.C.S. |
| author_facet |
García-Melián, J. Rossi, J.D. De Lis, J.C.S. |
| author_sort |
García-Melián, J. |
| title |
Layer profiles of solutions to elliptic problems under parameter-dependent boundary conditions |
| title_short |
Layer profiles of solutions to elliptic problems under parameter-dependent boundary conditions |
| title_full |
Layer profiles of solutions to elliptic problems under parameter-dependent boundary conditions |
| title_fullStr |
Layer profiles of solutions to elliptic problems under parameter-dependent boundary conditions |
| title_full_unstemmed |
Layer profiles of solutions to elliptic problems under parameter-dependent boundary conditions |
| title_sort |
layer profiles of solutions to elliptic problems under parameter-dependent boundary conditions |
| url |
http://hdl.handle.net/20.500.12110/paper_02322064_v29_n4_p451_GarciaMelian |
| work_keys_str_mv |
AT garciamelianj layerprofilesofsolutionstoellipticproblemsunderparameterdependentboundaryconditions AT rossijd layerprofilesofsolutionstoellipticproblemsunderparameterdependentboundaryconditions AT delisjcs layerprofilesofsolutionstoellipticproblemsunderparameterdependentboundaryconditions |
| _version_ |
1807318049352581120 |