Fractional Yamabe solitons and fractional Nirenberg problem

DOI10.3934/cpaa.2021103zbMath1477.35297OpenAlexW3175526226MaRDI QIDQ2238249

Publication date: 1 November 2021

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2021103

zbMATH Keywords

Yamabe soliton fractional Nirenberg problem fractional order curvature fractional Yamabe flow

Mathematics Subject Classification ID

Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Soliton solutions (35C08) Fractional partial differential equations (35R11)

Cites Work

Unnamed Item
Unnamed Item
Soliton to the fractional Yamabe flow
Existence results for the fractional Nirenberg problem
Prescribed Webster scalar curvature on $S^{2n+1}$ in the presence of reflection or rotation symmetry
On a fractional Nirenberg problem on $n$-dimensional spheres: existence and multiplicity results
The classification of locally conformally flat Yamabe solitons
A fractional Yamabe flow and some applications
Infinitely many non-radial solutions for fractional Nirenberg problem
Fractional Laplacian in conformal geometry
The scalar curvature flow on $S ^{n }$-perturbation theorem revisited
Singular solutions of fractional order conformal Laplacians
Concentration of solutions for the fractional Nirenberg problem
Conformal metrics with prescribed scalar curvature
Prescribing Gaussian curvature on S 2
Meromorphic extension of the resolvent on complete spaces with asymptotically constant negative curvature
Conformal deformations of metric on ${\mathcal S}$ 2
A perturbation result in prescribing scalar curvature on $S^ n$
On conformal deformations of metrics on $S^n$
The scalar curvature equation on 2- and 3-spheres
Scattering matrix in conformal geometry
Multi-bump solutions for fractional Nirenberg problem
Remarks on scalar curvature of Yamabe solitons
Remark on some conformally invariant integral equations: the method of moving spheres
Prescribed scalar curvature on the $n$-sphere
Three-dimensional complete gradient Yamabe solitons with divergence-free Cotton tensor
Prescribing $ Q $-curvature on $ S^n $ in the presence of symmetry
Peak solutions for the fractional Nirenberg problem
Fractional conformal Laplacians and fractional Yamabe problems
On a fractional Nirenberg problem. I: Blow up analysis and compactness of solutions
A flow approach to Nirenberg's problem
Some properties of the Yamabe soliton and the related nonlinear elliptic equation
On Fractional GJMS Operators
Conformally Invariant Powers of the Laplacian, I: Existence
Weak and smooth solutions for a fractional Yamabe flow: The case of general compact and locally conformally flat manifolds
Prescribed mean curvature equation on the unit ball in the presence of reflection or rotation symmetry
On a Fractional Nirenberg Problem, Part II: Existence of Solutions
Convergence of the fractional Yamabe flow for a class of initial data
On a fractional Nirenberg type problem on the n-dimensional sphere
Prescribed scalar curvature equation on $S^n$ in the presence of reflection or rotation symmetry
Classification of solutions for an integral equation

This page was built for publication: Fractional Yamabe solitons and fractional Nirenberg problem