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

Gradivo je del revije

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