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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| Main Authors: | , , |
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| Format: | Article |
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Walter de Gruyter GmbH
2025
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| Institution: | Universiti Tenaga Nasional |
| Summary: | 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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