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

PAPAGEORGIOU, Nikolaos S., RǍDULESCU, Vicenţiu in REPOVŠ, Dušan, 2019, Perturbations of nonlinear eigenvalue problems. Communications on pure and applied analysis [na spletu]. 2019. Vol. 18, no. 3, p. 1403–1431. [Dostopano 4 april 2025]. DOI 10.3934/cpaa.2019068. Pridobljeno s: https://repozitorij.uni-lj.si/IzpisGradiva.php?lang=slv&id=108753

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