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https://doi.org/10.1051/cocv:2002023
| Title: | On a fourth order equation in 3-D | Authors: | Xu, X. Yang, P.C. |
Keywords: | Conformal invariance Connected sum Paneitz operator Sobolev inequality |
Issue Date: | Jun-2002 | Citation: | Xu, X., Yang, P.C. (2002-06). On a fourth order equation in 3-D. ESAIM - Control, Optimisation and Calculus of Variations 8 : 1029-1042. ScholarBank@NUS Repository. https://doi.org/10.1051/cocv:2002023 | Abstract: | In this article we study the positivity of the 4-th order Paneitz operator for closed 3-manifolds. We prove that the connected sum of two such 3-manifold retains the same positivity property. We also solve the analogue of the Yamabe equation for such a manifold. © EDP Sciences, SMAI 2002. | Source Title: | ESAIM - Control, Optimisation and Calculus of Variations | URI: | http://scholarbank.nus.edu.sg/handle/10635/103672 | ISSN: | 12928119 | DOI: | 10.1051/cocv:2002023 |
| Appears in Collections: | Staff Publications |
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