Positive solutions for nonlinear parametric singular Dirichlet problems

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

We consider a nonlinear parametric Dirichlet problem driven by the ▫$p$▫-Laplace differential operator and a reaction which has the competing effects of a parametric singular term and of a Carathéodory perturbation which is ▫$p-1$▫-linear near ▫$+\infty$▫. The problem is uniformly nonresonant with respect to the principal eigenvalue of ▫$(-\Delta _p,W^{1,p}_0(\Omega ))$▫. We look for positive solutions and prove a bifurcation-type theorem describing in an exact way the dependence of the set of positive solutions on the parameter ▫$\lambda >0$▫.

• Jezik: Angleški jezik
• Ključne besede: parametric singular term, (p-1)-linear perturbation, uniform nonresonance, nonlinear regularity theory, truncation, strong comparison principle, bifurcation-type theorem
• Vrsta gradiva: Članek v reviji
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: PEF - Pedagoška fakulteta; FMF - Fakulteta za matematiko in fiziko
• Leto izida: 2019
• Št. strani: art. 1950011 (21 str.)
• Številčenje: Vol. 9, iss. 3
• PID: 20.500.12556/RUL-109066
• UDK: 517.956.2
• ISSN pri članku: 1664-3607
• DOI: 10.1142/S1664360719500115
• COBISS.SI-ID: 18403929
• Datum objave v RUL: 20.08.2019

Gradivo je del revije

• Naslov: Bulletin of mathematical sciences
• Skrajšan naslov: Bull. math. sci.
• Založnik: Springer International Publishing
• ISSN: 1664-3607
• COBISS.SI-ID: 18343257