On Shape Optimization Theory With Fractional p-Laplacian Operators
The focus of this paper is the investigation of shape optimization problems with operators such as fractional Laplacian and p-Laplacian operators, that is, −Δs and −Δps, where 0<s<1 and p≥2. In the admissible set of s− quasi-open, the existence of optimal shape is proved for shape derivative o...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2025-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/aaa/1932719 |
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| Summary: | The focus of this paper is the investigation of shape optimization problems with operators such as fractional Laplacian and p-Laplacian operators, that is, −Δs and −Δps, where 0<s<1 and p≥2. In the admissible set of s− quasi-open, the existence of optimal shape is proved for shape derivative of the functional FΩ=fΩ,uΩ, where uΩ represents the solution of the fractional operators. |
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| ISSN: | 1687-0409 |