Existence of solutions for the fractional Nirenberg problem with indefinite curvature functions

Existence of solutions for the fractional Nirenberg problem with indefinite curvature functions

In this paper, we investigate the following fractional Nirenberg problem: Pσg𝕊n(u) = c(n,σ)Rσḡ(x)un+2σ n−2σon𝕊n, where [Formula: see text] is fractional order conformal invariant operator and [Formula: see text] is the [Formula: see text]-curvature for [Formula: see text] with [Formula: see text] wi...

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Bibliographic Details
Main Authors: Jiaxing An, Jingbo Dou, Yunyun Hu
Format: Article
Language:English
Published: World Scientific Publishing 2024-12-01
Series:Bulletin of Mathematical Sciences
Subjects:
Fractional Nirenberg problem
conformal invariant operator
variational structure
mountain pass lemma
blowing-up analysis method
Online Access:https://www.worldscientific.com/doi/10.1142/S1664360724500085
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