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On a Fourth Order Equation in 3-D
Published online by Cambridge University Press: 15 August 2002
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.
- Type
- Research Article
- Information
- ESAIM: Control, Optimisation and Calculus of Variations , Volume 8: A tribute to JL Lions , 2002 , pp. 1029 - 1042
- Copyright
- © EDP Sciences, SMAI, 2002
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