On an anisotropic $ \overset{\rightarrow }{p}(\cdot) $-Laplace equation with variable singular and sublinear nonlinearities

Autor: Mustafa Avci
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Communications in Analysis and Mechanics, Vol 16, Iss 3, Pp 554-577 (2024)
Druh dokumentu: article
ISSN: 2836-3310
DOI: 10.3934/cam.2024026?viewType=HTML
Popis: In the present paper, we study an anisotropic $ \overset{\rightarrow }{p}(\cdot) $-Laplace equation with combined effects of variable singular and sublinear nonlinearities. Using the Ekeland's variational principle and a constrained minimization, we show the existence of a positive solution for the case where the variable singularity $ \beta(x) $ assumes its values in the interval $ (1, \infty) $.
Databáze: Directory of Open Access Journals