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On a Nonlocal Problem Involving Fractional P(X, .)-Laplacian with Non-Standard Growth
2022
Mathematics and its Applications: Annals of the Academy of Romanian Scientists
Preserved Fulltext
We are concerned in a nonlocal problem involving the fractional p(x, •)−Laplacian operator and with a right-hand side that is a Carathéodory 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.
doi:10.56082/annalsarscimath.2022.1-2.77
fatcat:25klufrcbfgrbc7eeufs75gaq4