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

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