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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| Autores principales: | , , |
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| Formato: | JOUR |
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_02322064_v29_n4_p451_GarciaMelian |
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| Sumario: | 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. |
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