A discontinuous nonlinear singular elliptic problem with the fractional rho-Laplacian
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 non...
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2025-03-01
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| Series: | Nonlinear Analysis |
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| Online Access: | https://www.journals.vu.lt/nonlinear-analysis/article/view/38979 |
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| _version_ | 1850163906447671296 |
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| author | Ghizlane Zineddaine Abdelaziz Sabiry Abderrazak Kassidi Lalla Saadia Chadli |
| author_facet | Ghizlane Zineddaine Abdelaziz Sabiry Abderrazak Kassidi Lalla Saadia Chadli |
| author_sort | Ghizlane Zineddaine |
| collection | DOAJ |
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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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| format | Article |
| id | doaj-art-efbbbd83a3ae4a54b3921842257d52ed |
| institution | OA Journals |
| issn | 1392-5113 2335-8963 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Nonlinear Analysis |
| spelling | doaj-art-efbbbd83a3ae4a54b3921842257d52ed2025-08-20T02:22:06ZengVilnius University PressNonlinear Analysis1392-51132335-89632025-03-013010.15388/namc.2025.30.38979A discontinuous nonlinear singular elliptic problem with the fractional rho-LaplacianGhizlane Zineddaine0https://orcid.org/0009-0006-4800-2429Abdelaziz Sabiry1Abderrazak Kassidihttps://orcid.org/0000-0002-9105-1123Lalla Saadia Chadli2Sultan Moulay Slimane University, FSTSultan Moulay Slimane University, FSTSultan Moulay Slimane University, FST 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. https://www.journals.vu.lt/nonlinear-analysis/article/view/38979discontinuous nonlinearitiesHardy potentialfractional rho-Laplacianweak solutiontopological degree theory |
| spellingShingle | Ghizlane Zineddaine Abdelaziz Sabiry Abderrazak Kassidi Lalla Saadia Chadli A discontinuous nonlinear singular elliptic problem with the fractional rho-Laplacian Nonlinear Analysis discontinuous nonlinearities Hardy potential fractional rho-Laplacian weak solution topological degree theory |
| title | A discontinuous nonlinear singular elliptic problem with the fractional rho-Laplacian |
| title_full | A discontinuous nonlinear singular elliptic problem with the fractional rho-Laplacian |
| title_fullStr | A discontinuous nonlinear singular elliptic problem with the fractional rho-Laplacian |
| title_full_unstemmed | A discontinuous nonlinear singular elliptic problem with the fractional rho-Laplacian |
| title_short | A discontinuous nonlinear singular elliptic problem with the fractional rho-Laplacian |
| title_sort | discontinuous nonlinear singular elliptic problem with the fractional rho laplacian |
| topic | discontinuous nonlinearities Hardy potential fractional rho-Laplacian weak solution topological degree theory |
| url | https://www.journals.vu.lt/nonlinear-analysis/article/view/38979 |
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