Nikolaos Socrates Papageorgiou (Avtor), Vicenţiu Rǎdulescu (Avtor), Dušan Repovš (Avtor)

Povzetek

We consider a Dirichlet elliptic problem driven by the Laplacian with singular and superlinear nonlinearities. The singular term appears on the left-hand side while the superlinear perturbation is parametric with parameter ▫$\lambda > 0$▫ and it need not satisfy the AR-condition. Having as our starting point the work of Diaz-Morel-Oswald (1987) [J.I. Diaz, J.M. Morel, L. Oswald, An elliptic equation with singular nonlinearity, Commun. Partial Differ. Equ. 12 (1987) 1333-1344], we show that there is a critical parameter value ▫$\lambda_\ast$▫ such that for all ▫$\lambda > \lambda_\ast$▫ the problem has two positive solutions, while for ▫$\lambda < \lambda_\ast$▫ there are no positive solutions. What happens in the critical case ▫$\lambda = \lambda_\ast$▫ is an interesting open problem.

Ključne besede

singular term;superlinear perturbation;weak comparison;order cone;

Podatki

Jezik: Angleški jezik
Leto izida:
Tipologija: 1.01 - Izvirni znanstveni članek
Organizacija: UL FMF - Fakulteta za matematiko in fiziko
UDK: 517.956.2
COBISS: 18687833 Povezava se bo odprla v novem oknu
ISSN: 0022-0396
Št. ogledov: 480
Št. prenosov: 415
Ocena: 0 (0 glasov)
Metapodatki: JSON JSON-RDF JSON-LD TURTLE N-TRIPLES XML RDFA MICRODATA DC-XML DC-RDF RDF

Ostali podatki

Vrsta dela (COBISS): Članek v reviji
Strani: str. 6539-6554
Letnik: ǂVol. ǂ267
Zvezek: ǂiss. ǂ11
Čas izdaje: Nov. 2019
DOI: 10.1016/j.jde.2019.07.018
ID: 11225338