Perturbations of nonlinear eigenvalue problems

Papageorgiou, Nikolaos S. (avtor), Rǎdulescu, Vicenţiu (avtor), Repovš, Dušan (avtor)

We consider perturbations of nonlinear eigenvalue problems driven by a nonhomogeneous differential operator plus an indefinite potential. We consider both sublinear and superlinear perturbations and we determine how the set of positive solutions changes as the real parameter ▫$\lambda$▫ varies. We also show that there exists a minimal positive solution ▫$\overline{u}_\lambda$▫ and determine the monotonicity and continuity properties of the map ▫$\lambda\mapsto\overline{u}_\lambda$▫. Special attention is given to the particular case of the ▫$p$▫-Laplacian.

• Jezik: Angleški jezik
• Ključne besede: nonhomogeneous differential operator, sublinear perturbation, superlinear perturbation, nonlinear regularity, nonlinear maximum principle, comparison principle, minimal positive solution
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: PEF - Pedagoška fakulteta; FMF - Fakulteta za matematiko in fiziko
• Leto izida: 2019
• Št. strani: Str. 1403-1431
• Številčenje: Vol. 18, no. 3
• PID: 20.500.12556/RUL-108753
• UDK: 517.956
• ISSN pri članku: 1534-0392
• DOI: 10.3934/cpaa.2019068
• COBISS.SI-ID: 18481753
• Datum objave v RUL: 19.07.2019

Gradivo je del revije

• Naslov: Communications on pure and applied analysis
• Skrajšan naslov: Commun. pure appl. anal.
• Založnik: AIMS Press
• ISSN: 1534-0392
• COBISS.SI-ID: 15066457