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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2025
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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 |
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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. |
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56204312000 |
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56204312000 Guefaifia R. Boulaaras S. Jan R. |
| format |
Article |
| author |
Guefaifia R. Boulaaras S. Jan R. |
| spellingShingle |
Guefaifia R. Boulaaras S. Jan R. Existence of positive weak solutions for stationary fractional Laplacian problem by using sub-super solutions |
| author_sort |
Guefaifia R. |
| title |
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_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_sort |
existence of positive weak solutions for stationary fractional laplacian problem by using sub-super solutions |
| publisher |
Walter de Gruyter GmbH |
| publishDate |
2025 |
| _version_ |
1825816171348230144 |