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...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2025-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/aaa/1932719 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849708091462909952 |
|---|---|
| author | Malick Fall Alassane Sy Ibrahima Faye Diaraf Seck |
| author_facet | Malick Fall Alassane Sy Ibrahima Faye Diaraf Seck |
| author_sort | Malick Fall |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-38a71e895e3644e38e855d6fc827a3b5 |
| institution | DOAJ |
| issn | 1687-0409 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-38a71e895e3644e38e855d6fc827a3b52025-08-20T03:15:47ZengWileyAbstract and Applied Analysis1687-04092025-01-01202510.1155/aaa/1932719On Shape Optimization Theory With Fractional p-Laplacian OperatorsMalick Fall0Alassane Sy1Ibrahima Faye2Diaraf Seck3Département de MathématiquesLaboratoire d’Informatique, de Mathématiques et Applications (LIMA)Laboratoire d’Informatique, de Mathématiques et Applications (LIMA)Laboratoire de Mathématiques de la Décision et d’Analyse Numérique (L.M.D.A.N).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.http://dx.doi.org/10.1155/aaa/1932719 |
| spellingShingle | Malick Fall Alassane Sy Ibrahima Faye Diaraf Seck On Shape Optimization Theory With Fractional p-Laplacian Operators Abstract and Applied Analysis |
| title | On Shape Optimization Theory With Fractional p-Laplacian Operators |
| title_full | On Shape Optimization Theory With Fractional p-Laplacian Operators |
| title_fullStr | On Shape Optimization Theory With Fractional p-Laplacian Operators |
| title_full_unstemmed | On Shape Optimization Theory With Fractional p-Laplacian Operators |
| title_short | On Shape Optimization Theory With Fractional p-Laplacian Operators |
| title_sort | on shape optimization theory with fractional p laplacian operators |
| url | http://dx.doi.org/10.1155/aaa/1932719 |
| work_keys_str_mv | AT malickfall onshapeoptimizationtheorywithfractionalplaplacianoperators AT alassanesy onshapeoptimizationtheorywithfractionalplaplacianoperators AT ibrahimafaye onshapeoptimizationtheorywithfractionalplaplacianoperators AT diarafseck onshapeoptimizationtheorywithfractionalplaplacianoperators |