Pairs of positive solutions for resonant singular equations with the ▫$p$▫-Laplacian

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

We consider a nonlinear elliptic equation driven by the Dirichlet ▫$p$▫-Laplacian with a singular term and a ▫$(p-1)$▫-linear perturbation which is resonant at ▫$+\infty$▫ with respect to the principal eigenvalue. Using variational tools, together with suitable truncation and comparison techniques, we show the existence of at least two positive smooth solutions.

• Jezik: Angleški jezik
• Ključne besede: singular reaction, resonance, regularity, positive solutions, maximum principle, mountain pass theorem
• Vrsta gradiva: Članek v reviji
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: PEF - Pedagoška fakulteta; FMF - Fakulteta za matematiko in fiziko
• Leto izida: 2017
• Št. strani: Str. 1-13
• Številčenje: Vol. 2017, no. 249
• PID: 20.500.12556/RUL-110326
• UDK: 517.956.2
• ISSN pri članku: 1072-6691
• COBISS.SI-ID: 18154073
• Datum objave v RUL: 13.09.2019

Gradivo je del revije

• Naslov: Electronic journal of differential equations
• Skrajšan naslov: Electr. j. differ. equ.
• Založnik: Southwest Texas State University, University of North Texas
• ISSN: 1072-6691
• COBISS.SI-ID: 7027289