Parametric nonlinear resonant Robin problems

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

We consider a nonlinear Robin problem driven by the ▫$p$▫-Laplacian. In the reaction we have the competing effects of two nonlinearities. One term is parametric, strictly ▫$(p-1)$▫-sublinear and the other one is ▫$(p-1)$▫-linear and resonant at any nonprincipal variational eigenvalue. Using variational tools from the critical theory (critical groups), we show that for all big values of the parameter ▫$\lambda$▫ the problem has at least five nontrivial smooth solutions.

• Jezik: Angleški jezik
• Ključne besede: indefinite and unbounded potential, critical groups, multiple solutions, nonlinear regularity, resonance, Robin boundary condition, strong comparison, truncation
• 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. 2456-2480
• Številčenje: Vol. 292, iss. 11
• PID: 20.500.12556/RUL-113103
• UDK: 517.956.2
• ISSN pri članku: 0025-584X
• DOI: 10.1002/mana.201800505
• COBISS.SI-ID: 18720857
• Datum objave v RUL: 04.12.2019

Gradivo je del revije

• Naslov: Mathematische Nachrichten
• Skrajšan naslov: Math. Nachr.
• Založnik: Wiley
• ISSN: 0025-584X
• COBISS.SI-ID: 25915392