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|Title:||On a fourth order equation in 3-D||Authors:||Xu, X.
|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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