Nonlinear nonhomogeneous Robin problems with almost critical and partially concave reaction

Papageorgiou, Nikolaos S. (avtor), Repovš, Dušan (avtor), Vetro, Calogero (avtor)

We consider a nonlinear Robin problem driven by a nonhomogeneous differential operator, with reaction which exhibits the competition of two Carathéodory terms. One is parametric, $(p-1)$-sublinear with a partially concave nonlinearity near zero. The other is $(p-1)$-superlinear and has almost critical growth. Exploiting the special geometry of the problem, we prove a bifurcation-type result, describing the changes in the set of positive solutions as the parameter $\lambda > 0$ varies.

• Jezik: Angleški jezik
• Ključne besede: competition phenomena, nonlinear regularity, nonlinear maximum principle, strong comparison principle, bifurcation-type result, almost critical growth
• Vrsta gradiva: Članek v reviji
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: PEF - Pedagoška fakulteta; FMF - Fakulteta za matematiko in fiziko
• Leto izida: 2020
• Št. strani: Str. 1774-1803
• Številčenje: Vol. 30, iss. 2
• PID: 20.500.12556/RUL-116580
• UDK: 517.956.2
• ISSN pri članku: 1050-6926
• DOI: 10.1007/s12220-019-00278-0
• COBISS.SI-ID: 18727769
• Datum objave v RUL: 28.05.2020

PAPAGEORGIOU, Nikolaos S., REPOVŠ, Dušan in VETRO, Calogero, 2020, Nonlinear nonhomogeneous Robin problems with almost critical and partially concave reaction. The Journal of geometric analysis [na spletu]. 2020. Vol. 30, no. 2, p. 1774–1803. [Dostopano 14 april 2025]. DOI 10.1007/s12220-019-00278-0. Pridobljeno s: https://repozitorij.uni-lj.si/IzpisGradiva.php?lang=slv&id=116580

Gradivo je del revije

• Naslov: The Journal of geometric analysis
• Skrajšan naslov: J. geom. anal.
• Založnik: Springer, Mathematica Josephina
• ISSN: 1050-6926
• COBISS.SI-ID: 30685696