Optimal Form for Compliance of Membrane Boundary Shift in Nonlinear Case
In this work, we search the existence shifting compliance optimal form of some boundary membrane, which is not elastic and not isotropic, generating nonlinear PDE. An optimal form of the elastic membrane described by the p-Laplacian is investigated. The boundary perturbation method due to Hadamard i...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2018/1689269 |
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| _version_ | 1832556864741572608 |
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| author | Y. Yousfi I. Hadi A. Benbrik |
| author_facet | Y. Yousfi I. Hadi A. Benbrik |
| author_sort | Y. Yousfi |
| collection | DOAJ |
| description | In this work, we search the existence shifting compliance optimal form of some boundary membrane, which is not elastic and not isotropic, generating nonlinear PDE. An optimal form of the elastic membrane described by the p-Laplacian is investigated. The boundary perturbation method due to Hadamard is applied in Sobolev spaces. |
| format | Article |
| id | doaj-art-04dee454ae2f48df92f87c15f3cf6fb9 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-04dee454ae2f48df92f87c15f3cf6fb92025-02-03T05:44:14ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252018-01-01201810.1155/2018/16892691689269Optimal Form for Compliance of Membrane Boundary Shift in Nonlinear CaseY. Yousfi0I. Hadi1A. Benbrik2Department of Mathematics, Faculty of Science, University Mohammed 1st, Oujda, MoroccoMoroccan Ministry of National Education, Higher Education and Research, MoroccoDepartment of Mathematics, Faculty of Science, University Mohammed 1st, Oujda, MoroccoIn this work, we search the existence shifting compliance optimal form of some boundary membrane, which is not elastic and not isotropic, generating nonlinear PDE. An optimal form of the elastic membrane described by the p-Laplacian is investigated. The boundary perturbation method due to Hadamard is applied in Sobolev spaces.http://dx.doi.org/10.1155/2018/1689269 |
| spellingShingle | Y. Yousfi I. Hadi A. Benbrik Optimal Form for Compliance of Membrane Boundary Shift in Nonlinear Case International Journal of Mathematics and Mathematical Sciences |
| title | Optimal Form for Compliance of Membrane Boundary Shift in Nonlinear Case |
| title_full | Optimal Form for Compliance of Membrane Boundary Shift in Nonlinear Case |
| title_fullStr | Optimal Form for Compliance of Membrane Boundary Shift in Nonlinear Case |
| title_full_unstemmed | Optimal Form for Compliance of Membrane Boundary Shift in Nonlinear Case |
| title_short | Optimal Form for Compliance of Membrane Boundary Shift in Nonlinear Case |
| title_sort | optimal form for compliance of membrane boundary shift in nonlinear case |
| url | http://dx.doi.org/10.1155/2018/1689269 |
| work_keys_str_mv | AT yyousfi optimalformforcomplianceofmembraneboundaryshiftinnonlinearcase AT ihadi optimalformforcomplianceofmembraneboundaryshiftinnonlinearcase AT abenbrik optimalformforcomplianceofmembraneboundaryshiftinnonlinearcase |