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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 Ω , where r > 1 and Ω is a smooth bounded domain of ℝ^N , under one of the boundary conditions u_= λ , \frac {∂u}{∂ν} = λ , \frac{∂u}{∂ν} = λu or \frac{∂u}{∂ν} = λu …