Nonlinear singular problems with indefinite potential term

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

We consider a nonlinear Dirichlet problem driven by a nonhomogeneous differential operator plus an indefinite potential. In the reaction we have the competing effects of a singular term and of concave and convex nonlinearities. In this paper the concave term will be parametric. We prove a bifurcation-type theorem describing the changes in the set of positive solutions as the positive parameter ▫$\lambda$▫ varies.

• Jezik: Angleški jezik
• Ključne besede: nonhomogeneous differential operator, indefinite potential, singular term, concave and convex nonlinearities, truncation, comparison principles, nonlinear regularity, nonlinear maximum principle
• 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: Str. 2237-2262
• Številčenje: Vol. 9, iss. 4
• PID: 20.500.12556/RUL-116656
• UDK: 517.956.2
• ISSN pri članku: 1664-2368
• DOI: 10.1007/s13324-019-00333-7
• COBISS.SI-ID: 18663001
• Datum objave v RUL: 01.06.2020

Gradivo je del revije

• Naslov: Analysis and mathematical physics
• Skrajšan naslov: Anal. math. phys.
• Založnik: Springer International Publishing AG
• ISSN: 1664-2368
• COBISS.SI-ID: 18662745