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.
Prescribing a fourth order conformal invariant on the standard sphere, Part I: a perturbation result
Djadli, Zindine;Malchiodi, Andrea
;
2002
Abstract
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.File in questo prodotto:
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DMO1.pdf
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0101101.pdf
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