Positive solutions for singular double phase problems

Papageorgiou, Nikolaos S. (avtor), Repovš, Dušan (avtor), Vetro, Calogero (avtor)

We study the existence of positive solutions for a class of double phase Dirichlet equations which have the combined effects of a singular term and of a parametric superlinear term. The differential operator of the equation is the sum of a $p$-Laplacian and of a weighted $q$-Laplacian $(q<p)$ with discontinuous weight. Using the Nehari method, we show that for all small values of the parameter $\lambda > 0$, the equation has at least two positive solutions.

• Jezik: Angleški jezik
• Ključne besede: double phase problem, singular term, Nehari manifold, positive solutions, discontinuous weight
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: PEF - Pedagoška fakulteta; FMF - Fakulteta za matematiko in fiziko
• Leto izida: 2021
• Št. strani: art. 123896 (13 str.)
• Številčenje: Vol. 501, ǂiss.ǂ1
• PID: 20.500.12556/RUL-128542
• UDK: 517.956.2
• ISSN pri članku: 0022-247X
• DOI: 10.1016/j.jmaa.2020.123896
• COBISS.SI-ID: 18898521
• Datum objave v RUL: 19.07.2021

PAPAGEORGIOU, Nikolaos S., REPOVŠ, Dušan in VETRO, Calogero, 2021, Positive solutions for singular double phase problems. Journal of mathematical analysis and applications [na spletu]. 2021. Vol. 501, no. 1. [Dostopano 17 april 2025]. DOI 10.1016/j.jmaa.2020.123896. Pridobljeno s: https://repozitorij.uni-lj.si/IzpisGradiva.php?lang=slv&id=128542

Gradivo je del revije

• Naslov: Journal of mathematical analysis and applications
• Skrajšan naslov: J. math. anal. appl.
• Založnik: Elsevier
• ISSN: 0022-247X
• COBISS.SI-ID: 3081231