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volume 30 issue 3 pages 425-438

A discontinuous nonlinear singular elliptic problem with the fractional rho-Laplacian

Ghizlane Zineddaine
Abdelaziz Sabiry
Abderrazak Kassidi
Lalla saadia Chadli
Publication typeJournal Article
Publication date2025-03-03
scimago Q2
wos Q1
SJR0.583
CiteScore4.0
Impact factor2.0
ISSN13925113, 23358963
Abstract

In this paper, we use the topological degree method, based on the abstract Hammerstein equation, to investigate the existence of weak solutions for a certain class of elliptic Dirichlet boundary value problems. These problems involve the fractional ρ-Laplacian operator and involve discontinuous nonlinearities in the framework of fractional Sobolev spaces.

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Zineddaine G. et al. A discontinuous nonlinear singular elliptic problem with the fractional rho-Laplacian // Nonlinear Analysis: Modelling and Control. 2025. Vol. 30. No. 3. pp. 425-438.
GOST all authors (up to 50) Copy
Zineddaine G., Sabiry A., Kassidi A., Chadli L. S. A discontinuous nonlinear singular elliptic problem with the fractional rho-Laplacian // Nonlinear Analysis: Modelling and Control. 2025. Vol. 30. No. 3. pp. 425-438.
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TY - JOUR
DO - 10.15388/namc.2025.30.38979
UR - https://www.zurnalai.vu.lt/nonlinear-analysis/article/view/38979
TI - A discontinuous nonlinear singular elliptic problem with the fractional rho-Laplacian
T2 - Nonlinear Analysis: Modelling and Control
AU - Zineddaine, Ghizlane
AU - Sabiry, Abdelaziz
AU - Kassidi, Abderrazak
AU - Chadli, Lalla saadia
PY - 2025
DA - 2025/03/03
PB - Vilnius University Press
SP - 425-438
IS - 3
VL - 30
SN - 1392-5113
SN - 2335-8963
ER -
BibTex |
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@article{2025_Zineddaine,
author = {Ghizlane Zineddaine and Abdelaziz Sabiry and Abderrazak Kassidi and Lalla saadia Chadli},
title = {A discontinuous nonlinear singular elliptic problem with the fractional rho-Laplacian},
journal = {Nonlinear Analysis: Modelling and Control},
year = {2025},
volume = {30},
publisher = {Vilnius University Press},
month = {mar},
url = {https://www.zurnalai.vu.lt/nonlinear-analysis/article/view/38979},
number = {3},
pages = {425--438},
doi = {10.15388/namc.2025.30.38979}
}
MLA
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Zineddaine, Ghizlane, et al. “A discontinuous nonlinear singular elliptic problem with the fractional rho-Laplacian.” Nonlinear Analysis: Modelling and Control, vol. 30, no. 3, Mar. 2025, pp. 425-438. https://www.zurnalai.vu.lt/nonlinear-analysis/article/view/38979.