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.
File in questo prodotto:
File Dimensione Formato  
gazmal.pdf

Accesso chiuso

Tipologia: Published version
Licenza: Non pubblico
Dimensione 290.37 kB
Formato Adobe PDF
290.37 kB Adobe PDF   Richiedi una copia
nehari.pdf

accesso aperto

Tipologia: Accepted version (post-print)
Licenza: Creative Commons
Dimensione 342.54 kB
Formato Adobe PDF
342.54 kB Adobe PDF

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11384/56164
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 36
  • ???jsp.display-item.citation.isi??? 33
  • OpenAlex ND
social impact