Please use this identifier to cite or link to this item: 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
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