Existence and multiplicity results for fractional p(x)-Laplacian Dirichlet problem

Existence and multiplicity results for fractional p(x)-Laplacian Dirichlet problem

In this paper, we study a class of fractional p(x)-Laplacian Dirichlet problems in a bounded domain with Lipschitz boundary. Using variational methods, we prove in different situations the existence and multiplicity of solutions.

Bibliographic Details
Main Authors: Chakrone O., Belhadj K., Sidi Ammi M. R., Zerouali A.
Format: Article
Language:English
Published: Sciendo 2022-05-01
Series:Moroccan Journal of Pure and Applied Analysis
Subjects:
critical point theorem
fractional p(x, y)-laplacian
fractional sobolev space
variable exponents
variational methods
35j65
35j60
47j30
58e05
Online Access:https://doi.org/10.2478/mjpaa-2022-0011

Internet

https://doi.org/10.2478/mjpaa-2022-0011

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