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Existence and multiplicity results for a Steklov problem involving (p(x), q(x))-Laplacian operator

Belhadj Karim

Belhadj Karim

University Moulay Ismail of Meknes, FST Errachidia, LMIMA Laboratory, ROLALI GroupMorocco
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Karim, Belhadj
, 
A. Lakhdi

A. Lakhdi

University Moulay Ismail of Meknes, FST Errachidia, LMIMA Laboratory, ROLALI GroupMorocco
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Lakhdi, A.
, 
M. R. Sidi Ammi

M. R. Sidi Ammi

University Moulay Ismail of Meknes, FST Errachidia, MAIS Laboratory, AMNEA GroupMorocco
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Ammi, M. R. Sidi
 and 
A. Zerouali

A. Zerouali

Regional Centre of Trades Education and TrainingOujda, Morocco
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Zerouali, A.
  
Jan 13, 2022
Existence and multiplicity results for a Steklov problem involving (p(x), q(x))-Laplacian operator's Cover Image
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Published Online: Jan 13, 2022
Page range: 44 - 53
Received: Dec 08, 2020
Accepted: May 08, 2021
DOI: https://doi.org/10.2478/mjpaa-2022-0004
Keywords
© 2022 Belhadj Karim et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

In this work, we are concerned with a generalized Steklov problem with (p(x), q(x))-Laplacian operator. Under some appropriate conditions on the data involved in the elliptic problem, we prove the existence of at least three solutions using Ricceri’s three critical points theorem.

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English
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3 times per year
Journal Subjects:
Mathematics, Analysis, Differential Equations and Dynamical Systems, Probability and Statistics, Numerical and Computational Mathematics
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