Uniqueness and radial symmetry for an inverse elliptic equation
We consider an inverse rearrangement semilinear partial differential equation in a 2-dimensional ball and show that it has a unique maximizing energy solution. The solution represents a confined steady flow containing a vortex and passing over a seamount. Our approach is based on a rearrangement var...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2003-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171203211236 |
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| _version_ | 1832556584760246272 |
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| author | B. Emamizadeh M. H. Mehrabi |
| author_facet | B. Emamizadeh M. H. Mehrabi |
| author_sort | B. Emamizadeh |
| collection | DOAJ |
| description | We consider an inverse rearrangement semilinear partial
differential equation in a 2-dimensional ball and show that it
has a unique maximizing energy solution. The solution represents
a confined steady flow containing a vortex and passing over a
seamount. Our approach is based on a rearrangement variational
principle extensively developed by G. R. Burton. |
| format | Article |
| id | doaj-art-00f9ef01eb58480b8447d5cd1be3fd04 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2003-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-00f9ef01eb58480b8447d5cd1be3fd042025-02-03T05:44:56ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252003-01-012003483047305210.1155/S0161171203211236Uniqueness and radial symmetry for an inverse elliptic equationB. Emamizadeh0M. H. Mehrabi1Department of Mathematics, Iran University of Science and Technology, Tehran 16844, Narmak, IranDepartment of Mathematics, Iran University of Science and Technology, Tehran 16844, Narmak, IranWe consider an inverse rearrangement semilinear partial differential equation in a 2-dimensional ball and show that it has a unique maximizing energy solution. The solution represents a confined steady flow containing a vortex and passing over a seamount. Our approach is based on a rearrangement variational principle extensively developed by G. R. Burton.http://dx.doi.org/10.1155/S0161171203211236 |
| spellingShingle | B. Emamizadeh M. H. Mehrabi Uniqueness and radial symmetry for an inverse elliptic equation International Journal of Mathematics and Mathematical Sciences |
| title | Uniqueness and radial symmetry for an inverse elliptic equation |
| title_full | Uniqueness and radial symmetry for an inverse elliptic equation |
| title_fullStr | Uniqueness and radial symmetry for an inverse elliptic equation |
| title_full_unstemmed | Uniqueness and radial symmetry for an inverse elliptic equation |
| title_short | Uniqueness and radial symmetry for an inverse elliptic equation |
| title_sort | uniqueness and radial symmetry for an inverse elliptic equation |
| url | http://dx.doi.org/10.1155/S0161171203211236 |
| work_keys_str_mv | AT bemamizadeh uniquenessandradialsymmetryforaninverseellipticequation AT mhmehrabi uniquenessandradialsymmetryforaninverseellipticequation |