Podrobno

Nontrivial solutions of superlinear nonlocal problems
ID Molica Bisci, Giovanni (Avtor), ID Repovš, Dušan (Avtor), ID Servadei, Raffaella (Avtor)

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Izvleček
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 Povezava se odpre v novem oknu
UDK:517.95
ISSN pri članku:0933-7741
DOI:10.1515/forum-2015-0204 Povezava se odpre v novem oknu
COBISS.SI-ID:17671001 Povezava se odpre v novem oknu
Datum objave v RUL:23.09.2019
Število ogledov:1549
Število prenosov:638
Metapodatki:XML DC-XML DC-RDF
:
MOLICA BISCI, Giovanni, REPOVŠ, Dušan in SERVADEI, Raffaella, 2016, Nontrivial solutions of superlinear nonlocal problems. Forum mathematicum [na spletu]. 2016. Vol. 28, no. 6, p. 1095–1110. [Dostopano 7 julij 2025]. DOI 10.1515/forum-2015-0204. Pridobljeno s: https://repozitorij.uni-lj.si/IzpisGradiva.php?lang=slv&id=111093
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Gradivo je del revije

Naslov:Forum mathematicum
Skrajšan naslov:Forum math.
Založnik:de Gruyter
ISSN:0933-7741
COBISS.SI-ID:26801408 Povezava se odpre v novem oknu

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