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

O. Chakrone
O. Chakrone
, 
K. Belhadj
K. Belhadj
, 
M. R. Sidi Ammi
M. R. Sidi Ammi
 et 
A. Zerouali
A. Zerouali
   | 28 mai 2022
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Publié en ligne: 28 mai 2022
Pages: 148 - 162
Reçu: 08 déc. 2020
Accepté: 23 déc. 2021
DOI: https://doi.org/10.2478/mjpaa-2022-0011
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© 2022 O. Chakrone et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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.

eISSN:
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Langue:
Anglais
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3 fois par an
Sujets de la revue:
Mathematics, Analysis, Differential Equations and Dynamical Systems, Probability and Statistics, Numerical and Computational Mathematics
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