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

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

Open Access
|May 2022

Abstract

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.

Language: English
Page range: 148 - 162
Submitted on: Dec 8, 2020
Accepted on: Dec 23, 2021
Published on: May 28, 2022
Published by: Sciendo
In partnership with: Paradigm Publishing Services
Publication frequency: 3 times per year

© 2022 O. Chakrone, K. Belhadj, M. R. Sidi Ammi, A. Zerouali, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.