Prescribing a fourth order conformal invariant on the standard sphere  Part I: a perturbation result
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 nonzero degree.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 January 2001
 arXiv:
 arXiv:math/0101101
 Bibcode:
 2001math......1101D
 Keywords:

 Mathematics  Analysis of PDEs;
 Mathematics  Differential Geometry;
 53C21;
 35B45;
 35J60;
 53A30;
 58G30
 EPrint:
 27 pages