Mustapha Ait Hammou†
Abstract: We are concerned in a nonlocal problem involving the fractional p(x ) Laplacian operator and with a right-hand side that is a Caratheodory function satisfying only a non-standard growth condition. We show that our problem admits at least one weak solution. In order to do this, the main tool is the Berkovits degree theory for abstract Hammerstein type mappings.
MSC: 35R11, 35S15, 47H11.
DOI 10.56082/annalsarscimath.2022.1-2.77
†mustapha.aithammou@usmba.ac.ma Faculty of Sciences Dhar El Mahraz, Laboratory of Mathematical Analysis and Applications, Sidi Mohamed Ben Abdellah University, Fez, Morocco.
PUBLISHED in Annals Academy of Romanian Scientists Series on Mathematics and Its Application, Volume 14 no 1-2, 2022
