We consider a nonlinear nonhomogeneous Robin equation driven by the sum of a p-Laplacian and of a q-Laplacian ((p, q)-equation) plus an indefinite potential term and a parametric reaction of logistic type (superdiffusive case). We prove a bifurcation-type result describing the changes in the set of positive solutions as the parameter λ > 0 varies. Also, we show that for every admissible parameter λ > 0, the problem admits a smallest positive solution.
Papageorgiou, N.S., Vetro, C., Vetro, F. (2019). On a robin (p, q)-equation with a logistic reaction. OPUSCULA MATHEMATICA. ROCZNIK AKADEMIA GÓRNICZO-HUTNICZA IM. STANISłAWA STASZICA, 39(2), 227-245 [10.7494/OpMath.2019.39.2.227].
On a robin (p, q)-equation with a logistic reaction
Vetro, Calogero
;
2019-01-01
Abstract
We consider a nonlinear nonhomogeneous Robin equation driven by the sum of a p-Laplacian and of a q-Laplacian ((p, q)-equation) plus an indefinite potential term and a parametric reaction of logistic type (superdiffusive case). We prove a bifurcation-type result describing the changes in the set of positive solutions as the parameter λ > 0 varies. Also, we show that for every admissible parameter λ > 0, the problem admits a smallest positive solution.
| File | Dimensione | Formato | |
|---|---|---|---|
|
2019_PapageorgiouVetroVetro_opuscula_math_3915.pdf
accesso aperto
Descrizione: Articolo principale
Tipologia:
Versione Editoriale
Dimensione
486.8 kB
Formato
Adobe PDF
|
486.8 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
