On a Paneitz Type Equation in Six Dimensional Domains

Details On a Paneitz Type Equation in Six Dimensional Domains On a Paneitz Type Equation in Six Dimensional Domains

2003-06-07

arxiv.org/abs/math/0306132v3

Mathematics

Analysis of PDEs

14 pages

Scientific paper

In this paper we consider a fourth order equation involving the critical
Sobolev exponent on a bounded and smooth domain in $\R^6$. Using theory of
critical points at infinity, we give some topological conditions on a given
function defined on a domain to ensure some existence results.

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