Existence of Conformal Metrics with Prescribed Q-Curvature
We consider the problem of existence of conformal metrics with prescribed Q-curvature on standard sphere . Under the assumption that the order of flatness at critical points of prescribed Q-curvature function is , we give precise estimates on the losses of the compactness, and we prove new existenc...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/568245 |
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| author | Mohammed Ali Al-Ghamdi Hichem Chtioui Afef Rigane |
| author_facet | Mohammed Ali Al-Ghamdi Hichem Chtioui Afef Rigane |
| author_sort | Mohammed Ali Al-Ghamdi |
| collection | DOAJ |
| description | We consider the problem of existence of conformal metrics with prescribed Q-curvature on standard sphere . Under the assumption that the order of flatness at critical points of prescribed Q-curvature function is , we give precise estimates on the losses of the compactness, and we prove new existence and multiplicity results through an Euler-Hopf type formula. |
| format | Article |
| id | doaj-art-b044231149144bf98eb86fceacbc2aeb |
| institution | DOAJ |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-b044231149144bf98eb86fceacbc2aeb2025-08-20T03:20:50ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/568245568245Existence of Conformal Metrics with Prescribed Q-CurvatureMohammed Ali Al-Ghamdi0Hichem Chtioui1Afef Rigane2Department of Mathematics, King Abdulaziz University, P.O. Box 80230, Jeddah, Saudi ArabiaDepartment of Mathematics, King Abdulaziz University, P.O. Box 80230, Jeddah, Saudi ArabiaDepartment of Mathematics, Faculty of Sciences of Sfax, Road Soukra, Sfax, TunisiaWe consider the problem of existence of conformal metrics with prescribed Q-curvature on standard sphere . Under the assumption that the order of flatness at critical points of prescribed Q-curvature function is , we give precise estimates on the losses of the compactness, and we prove new existence and multiplicity results through an Euler-Hopf type formula.http://dx.doi.org/10.1155/2013/568245 |
| spellingShingle | Mohammed Ali Al-Ghamdi Hichem Chtioui Afef Rigane Existence of Conformal Metrics with Prescribed Q-Curvature Abstract and Applied Analysis |
| title | Existence of Conformal Metrics with Prescribed Q-Curvature |
| title_full | Existence of Conformal Metrics with Prescribed Q-Curvature |
| title_fullStr | Existence of Conformal Metrics with Prescribed Q-Curvature |
| title_full_unstemmed | Existence of Conformal Metrics with Prescribed Q-Curvature |
| title_short | Existence of Conformal Metrics with Prescribed Q-Curvature |
| title_sort | existence of conformal metrics with prescribed q curvature |
| url | http://dx.doi.org/10.1155/2013/568245 |
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