A minimization problem with free boundary for p-Laplacian weakly coupled system
In this article, we consider a weakly coupled pp-Laplacian system of a Bernoulli-type free boundary problem, through minimization of a corresponding functional. We prove various properties of any local minimizer and the corresponding free boundary.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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De Gruyter
2024-03-01
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| Series: | Advances in Nonlinear Analysis |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/anona-2023-0138 |
| _version_ | 1797266235724922880 |
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| author | Fotouhi Morteza Shahgholian Henrik |
| author_facet | Fotouhi Morteza Shahgholian Henrik |
| author_sort | Fotouhi Morteza |
| collection | DOAJ |
| description | In this article, we consider a weakly coupled pp-Laplacian system of a Bernoulli-type free boundary problem, through minimization of a corresponding functional. We prove various properties of any local minimizer and the corresponding free boundary. |
| first_indexed | 2024-04-25T00:57:28Z |
| format | Article |
| id | doaj.art-ba86c89ecd5f4deb9d598505ec9e4df0 |
| institution | Directory Open Access Journal |
| issn | 2191-950X |
| language | English |
| last_indexed | 2024-04-25T00:57:28Z |
| publishDate | 2024-03-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Advances in Nonlinear Analysis |
| spelling | doaj.art-ba86c89ecd5f4deb9d598505ec9e4df02024-03-11T10:03:47ZengDe GruyterAdvances in Nonlinear Analysis2191-950X2024-03-0113135538710.1515/anona-2023-0138A minimization problem with free boundary for p-Laplacian weakly coupled systemFotouhi Morteza0Shahgholian Henrik1Department of Mathematical Sciences, Sharif University of Technology, 11155-9415, Tehran, IranDepartment of Mathematics, Royal Institute of Technology, 100 44 Stockholm, SwedenIn this article, we consider a weakly coupled pp-Laplacian system of a Bernoulli-type free boundary problem, through minimization of a corresponding functional. We prove various properties of any local minimizer and the corresponding free boundary.https://doi.org/10.1515/anona-2023-0138p-laplacianminimizersfree boundary regularitysystem35r35 |
| spellingShingle | Fotouhi Morteza Shahgholian Henrik A minimization problem with free boundary for p-Laplacian weakly coupled system Advances in Nonlinear Analysis p-laplacian minimizers free boundary regularity system 35r35 |
| title | A minimization problem with free boundary for p-Laplacian weakly coupled system |
| title_full | A minimization problem with free boundary for p-Laplacian weakly coupled system |
| title_fullStr | A minimization problem with free boundary for p-Laplacian weakly coupled system |
| title_full_unstemmed | A minimization problem with free boundary for p-Laplacian weakly coupled system |
| title_short | A minimization problem with free boundary for p-Laplacian weakly coupled system |
| title_sort | minimization problem with free boundary for p laplacian weakly coupled system |
| topic | p-laplacian minimizers free boundary regularity system 35r35 |
| url | https://doi.org/10.1515/anona-2023-0138 |
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