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Nonlinear Dirichlet problems with unilateral growth on the reaction
ID Papageorgiou, Nikolaos S. (Avtor), ID Rǎdulescu, Vicenţiu (Avtor), ID Repovš, Dušan (Avtor)

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Izvleček
We consider a nonlinear Dirichlet problem driven by the ▫$p$▫-Laplace differential operator with a reaction which has a subcritical growth restriction only from above. We prove two multiplicity theorems producing three nontrivial solutions, two of constant sign and the third nodal. The two multiplicity theorems differ on the geometry near the origin. In the semilinear case (that is, ▫$p=2$▫), using Morse theory (critical groups), we produce a second nodal solution for a total of four nontrivial solutions. As an illustration, we show that our results incorporate and significantly extend the multiplicity results existing for a class of parametric, coercive Dirichlet problems

Jezik:Angleški jezik
Ključne besede:unilateral growth, constant sign and nodal solutions, multiplicity theorems, critical groups
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. 319-340
Številčenje:Vol. 31, iss. 2
PID:20.500.12556/RUL-108788 Povezava se odpre v novem oknu
UDK:517.956.2
ISSN pri članku:0933-7741
DOI:10.1515/forum-2018-0114 Povezava se odpre v novem oknu
COBISS.SI-ID:18471257 Povezava se odpre v novem oknu
Datum objave v RUL:25.07.2019
Število ogledov:723
Število prenosov:514
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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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