Positive solutions for the Robin ▫$p$▫-Laplacian plus an indefinite potential

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

We consider a nonlinear elliptic equation driven by the Robin ▫$p$▫-Laplacian plus an indefinite potential. In the reaction we have the competing effects of a strictly ▫$(p-1)$▫-sublinear parametric term and of a ▫$(p-1)$▫-linear and nonuniformly nonresonant term. We study the set of positive solutions as the parameter ▫$\lambda > 0$▫ varies. We prove a bifurcation-type result for large values of the positive parameter ▫$\lambda$▫. Also, we show that for all admissible ▫$\lambda > 0$▫, the problem has a smallest positive solution ▫$\overline{u}_\lambda$▫ and we study the monotonicity and continuity properties of the map ▫$\lambda \mapsto \overline{u}_\lambda$▫.

• Jezik: Angleški jezik
• Ključne besede: local minimizers, p-Laplacian, strong comparison, positive solutions, nonlinear regularity, minimal solution, indefinite potential
• 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. 1217-1236
• Številčenje: Vol. 5, no. 15
• PID: 20.500.12556/RUL-121493
• UDK: 517.956
• ISSN pri članku: 2189-3756
• COBISS.SI-ID: 32039427
• Datum objave v RUL: 12.10.2020

Gradivo je del revije

• Naslov: Pure and applied functional analysis
• Skrajšan naslov: Pure appl. funct. anal.
• Založnik: Yokohama Publishers
• ISSN: 2189-3756
• COBISS.SI-ID: 18455385