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.
2002
Settore MAT/05 - Analisi Matematica
   Variational methods and nonlinear di erential equations.
   M.U.R.S.T.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11384/56164
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