Mathematics – Analysis of PDEs
Scientific paper
2001-01-11
Mathematics
Analysis of PDEs
27 pages
Scientific paper
In this paper we study some fourth order elliptic equation involving the critical Sobolev exponent, related to the prescription of a fourth order conformal invariant on the standard sphere. We use a topological method to prove the existence of at least a solution when the function to be prescribed is close to a constant and a finite dimensional map associated to it has non-zero degree.
Ahmedou Mohameden Ould
Djadli Zindine
Malchiodi Andrea
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