Anisotropic equations with indefinite potential and competing nonlinearities

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

We consider a nonlinear Dirichlet problem driven by a variable exponent ▫$p$▫-Laplacian plus an indefinite potential term. The reaction has the competing effects of a parametric concave (sublinear) term and a convex (superlinear) perturbation (the anisotropic concave-convex problem). We prove a bifurcation-type theorem describing the changes in the set of positive solutions as the positive parameter ▫$\lambda$▫ varies. Also, we prove the existence of minimal positive solutions.

• Jezik: Angleški jezik
• Ključne besede: variable exponent spaces, regularity theory, maximum principle, concave and convex nonlinearities, positive solutions, comparison principles
• 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: art. 111861 (24 str.)
• Številčenje: Vol. 201
• PID: 20.500.12556/RUL-119968
• UDK: 517.956
• ISSN pri članku: 0362-546X
• DOI: 10.1016/j.na.2020.111861
• COBISS.SI-ID: 18953305
• Datum objave v RUL: 14.09.2020

Gradivo je del revije

• Naslov: Nonlinear Analysis
• Skrajšan naslov: Nonlinear anal.
• Založnik: Pergamon Press
• ISSN: 0362-546X
• COBISS.SI-ID: 26027520