Nontrivial solutions of superlinear nonlocal problems

Molica Bisci, Giovanni (avtor), Repovš, Dušan (avtor), Servadei, Raffaella (avtor)

We study the question of the existence of infinitely many weak solutions for nonlocal equations of fractional Laplacian type with homogeneous Dirichlet boundary data, in presence of a superlinear term. Starting from the well-known Ambrosetti-Rabinowitz condition, we consider different growth assumptions on the nonlinearity, all of superlinear type. We obtain three different existence results in this setting by using the Fountain Theorem, which extend some classical results for semilinear Laplacian equations to the nonlocal fractional setting.

• Jezik: Angleški jezik
• Ključne besede: fractional Laplacian, nonlocal problems, variational method, Fountain theorem, integrodifferential operator, superlinear nonlinearities
• Vrsta gradiva: Članek v reviji
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: PEF - Pedagoška fakulteta; FMF - Fakulteta za matematiko in fiziko
• Leto izida: 2016
• Št. strani: Str. 1095-1110
• Številčenje: Vol. 28, iss. 6
• PID: 20.500.12556/RUL-111093
• UDK: 517.95
• ISSN pri članku: 0933-7741
• DOI: 10.1515/forum-2015-0204
• COBISS.SI-ID: 17671001
• Datum objave v RUL: 23.09.2019

Gradivo je del revije

• Naslov: Forum mathematicum
• Skrajšan naslov: Forum math.
• Založnik: de Gruyter
• ISSN: 0933-7741
• COBISS.SI-ID: 26801408