Prescribing a fourth order conformal invariant on the standard sphere - Part I: a perturbation result
Analysis of PDEs
2007-05-23 v1 Differential Geometry
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.
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Cite
@article{arxiv.math/0101101,
title = {Prescribing a fourth order conformal invariant on the standard sphere - Part I: a perturbation result},
author = {Zindine Djadli and Andrea Malchiodi and Mohameden Ould Ahmedou},
journal= {arXiv preprint arXiv:math/0101101},
year = {2007}
}
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27 pages