We study existence and boundedness of solutions for the quasilinear elliptic equation −Δ_m u = λ(1+u)^p in a bounded domain Ω with homogeneous Dirichlet boundary conditions. The assumptions on both the parameters λ and p are fundamental. Strange critical exponents appear when boundedness of solutions is concerned. In our proofs we use techniques from calculus of variations, from critical-point theory, and from the theory of ordinary differential equations.
On the solutions of quasilinear elliptic equations with a polynomial-type reaction term
FERRERO, ALBERTO
2004-01-01
Abstract
We study existence and boundedness of solutions for the quasilinear elliptic equation −Δ_m u = λ(1+u)^p in a bounded domain Ω with homogeneous Dirichlet boundary conditions. The assumptions on both the parameters λ and p are fundamental. Strange critical exponents appear when boundedness of solutions is concerned. In our proofs we use techniques from calculus of variations, from critical-point theory, and from the theory of ordinary differential equations.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
Ferrero-Quasilinear.pdf
file disponibile solo agli amministratori
Descrizione: Articolo principale
Tipologia:
Documento in Pre-print
Licenza:
DRM non definito
Dimensione
427.19 kB
Formato
Adobe PDF
|
427.19 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
