PRESCRIBING A FOURTH ORDER CONFORMAL INVARIANT ON THE STANDARD SPHERE — PART I: A PERTURBATION RESULT

By Z. Djadli, A. Malchiodi, M. Ahmedou. Communications in Contemporary Mathematics, 2001

104 citations recorded by the source corpus.

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

Subfields: Applied Mathematics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/e65343674b3a240e82ccdc46eba1e23bc3e8b003

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In Applied Mathematics

1. S. Brendle
2. Hong-wei Xu
3. Burkhard Wilking
4. A. Malchiodi
5. J. Gu
6. Robert Haslhofer
7. S. Almaraz
8. Chao Xia

In Computational Theory and Mathematics

1. S. Brendle
2. P. Topping

Citations in the corpus

• Global existence and convergence for a higher order flow in conformal geometry (2003, background): “Moreover, the Paneitz operator plays a similar role as the Laplace operator in dimension two; compare [2], [3], [5], [11], [12].”