Work

Existence of conformal metrics on $S^n$ with prescribed fourth-order invariant

Year: 2002

Type: article

Abstract: In this paper we prescribe a fourth-order conformal invariant on the standard $n$-sphere, with $ n\geq5 $, and study the related fourth-order elliptic equation. We first find some existence results in the perturbative case. After some blow-up analysis we build a homotopy to pass from the perturbative case to the nonperturbative one under some flatness condition. Finally we state some existence results under the assumption of symmetry.

Source: Advances in Differential Equations

DOI: 10.57262/ade/1356651875

Author: Veronica Felli

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2027685487

FWCI: 3.651

Cites: 9

Cited by: 36

Related to: 8