Existence of positive weak solutions for stationary fractional Laplacian problem by using sub-super solutions
In this work, we establish a theorem concerning the extension of positive weak solutions for a stationary fractional Laplacian problem featuring weight functions that change sign. Additionally, we introduce novel conditions to ensure the existence of a positive solution for the given problem. These...
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Walter de Gruyter GmbH
2025
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| author | Guefaifia R. Boulaaras S. Jan R. |
| author2 | 56204312000 |
| author_facet | 56204312000 Guefaifia R. Boulaaras S. Jan R. |
| author_sort | Guefaifia R. |
| building | UNITEN Library |
| collection | Institutional Repository |
| content_provider | Universiti Tenaga Nasional |
| content_source | UNITEN Institutional Repository |
| continent | Asia |
| country | Malaysia |
| description | In this work, we establish a theorem concerning the extension of positive weak solutions for a stationary fractional Laplacian problem featuring weight functions that change sign. Additionally, we introduce novel conditions to ensure the existence of a positive solution for the given problem. These conditions are derived utilizing the approach of sub-super solutions, thereby extending and complementing existing results in the literature. ? 2024 Walter de Gruyter GmbH, Berlin/Boston. |
| format | Article |
| id | my.uniten.dspace-36267 |
| institution | Universiti Tenaga Nasional |
| publishDate | 2025 |
| publisher | Walter de Gruyter GmbH |
| record_format | dspace |
| spelling | my.uniten.dspace-362672025-03-03T15:41:45Z Existence of positive weak solutions for stationary fractional Laplacian problem by using sub-super solutions Guefaifia R. Boulaaras S. Jan R. 56204312000 36994353700 57205596279 In this work, we establish a theorem concerning the extension of positive weak solutions for a stationary fractional Laplacian problem featuring weight functions that change sign. Additionally, we introduce novel conditions to ensure the existence of a positive solution for the given problem. These conditions are derived utilizing the approach of sub-super solutions, thereby extending and complementing existing results in the literature. ? 2024 Walter de Gruyter GmbH, Berlin/Boston. Final 2025-03-03T07:41:45Z 2025-03-03T07:41:45Z 2024 Article 10.1515/gmj-2024-2025 2-s2.0-85194002972 https://www.scopus.com/inward/record.uri?eid=2-s2.0-85194002972&doi=10.1515%2fgmj-2024-2025&partnerID=40&md5=da6eac002bbc9fafdcc7888f13efc2da https://irepository.uniten.edu.my/handle/123456789/36267 31 6 965 971 Walter de Gruyter GmbH Scopus |
| spellingShingle | Guefaifia R. Boulaaras S. Jan R. Existence of positive weak solutions for stationary fractional Laplacian problem by using sub-super solutions |
| title | Existence of positive weak solutions for stationary fractional Laplacian problem by using sub-super solutions |
| title_full | Existence of positive weak solutions for stationary fractional Laplacian problem by using sub-super solutions |
| title_fullStr | Existence of positive weak solutions for stationary fractional Laplacian problem by using sub-super solutions |
| title_full_unstemmed | Existence of positive weak solutions for stationary fractional Laplacian problem by using sub-super solutions |
| title_short | Existence of positive weak solutions for stationary fractional Laplacian problem by using sub-super solutions |
| title_sort | existence of positive weak solutions for stationary fractional laplacian problem by using sub-super solutions |
| url_provider | http://dspace.uniten.edu.my/ |