ESAIM: COCV 8 (2002) 1029-1042
On a Fourth Order Equation in 3-D
Department of Mathematics, National
University of Singapore, 2 Science Drive 2, 119260 ; email@example.com.
Department of Mathematics, Princeton University, Princeton, NJ 08544-1000 U.S.A.; firstname.lastname@example.org.
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.
Mathematics Subject Classification: 53C21 / 35G20
Key words: Paneitz operator / conformal invariance / Sobolev inequality / connected sum.
© EDP Sciences, SMAI, 2002
The OpenURL standard is a protocol for transmission of metadata describing the resource that you wish to access.
An OpenURL link contains article metadata and directs it to the
OpenURL server of your choice. The OpenURL server can provide access
to the resource and also offer complementary services (specific
search engine, export of references...). The OpenURL link can be
generated by different means.
If your librarian has set up your subscription with an
OpenURL resolver, OpenURL links appear automatically on the abstract pages.
You can define your own OpenURL resolver with your
In this case your choice will be given priority over that of your library.
You can use an add-on for your browser (Firefox or I.E.) to display OpenURL links on a page (see
You should disable this module if you wish to use the OpenURL server that you or your library have defined.