We consider positive solutions of the equation -Δu = λ(1 + u)p with Dirichlet boundary conditions in a smooth bounded domain Ω for λ > 0 and p > 1. We study the behavior of the solutions for varying λ, p and varying domains Ω in different limiting situations.
Some remarks on the equation −∆u = λ(1 + u)(p) for varying λ, p and varying domains
Malchiodi, Andrea
2002
Abstract
We consider positive solutions of the equation -Δu = λ(1 + u)p with Dirichlet boundary conditions in a smooth bounded domain Ω for λ > 0 and p > 1. We study the behavior of the solutions for varying λ, p and varying domains Ω in different limiting situations.File in questo prodotto:
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