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arxiv: math/0306132 · v3 · submitted 2003-06-07 · 🧮 math.AP

On a Paneitz Type Equation in Six Dimensional Domains

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keywords criticaldomainequationsomeboundedconditionsconsiderdefined
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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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