Quantitative stability for minimizing Yamabe metrics (Q5864303)

scientific article; zbMATH DE number 7537731

Language	Label	Description	Also known as
English	Quantitative stability for minimizing Yamabe metrics	scientific article; zbMATH DE number 7537731

Statements

instance of

scholarly article

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title

Quantitative stability for minimizing Yamabe metrics (English)

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Transactions of the American Mathematical Society, Series B

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publication date

7 June 2022

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full work available at URL

https://arxiv.org/abs/2009.14362

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zbMATH Keywords

Yamabe energy

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Riemannian manifold

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MaRDI profile type

MaRDI publication profile

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cites work

Q3822749

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ON UNIQUENESS AND DIFFERENTIABILITY IN THE SPACE OF YAMABE METRICS

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Equations différentielles non linéaires et problème de Yamabe concernant la courbure scalaire

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Non-compactness and multiplicity results for the Yamabe problem on $S^n$

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A note on the Sobolev inequality

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A quantitative isoperimetric inequality on the sphere

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A sharp quantitative isoperimetric inequality in hyperbolic $n$-space

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Convergence of the Yamabe flow for arbitrary initial energy

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Convergence of the Yamabe flow in dimension 6 and higher

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Blow-up phenomena for the Yamabe equation

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Blow-up phenomena for the Yamabe equation. II

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Recent progress on the Yamabe problem

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Sobolev inequalities with remainder terms

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Stability for a GNS inequality and the log-HLS inequality, with application to the critical mass Keller-Segel equation

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Slowly converging Yamabe flows

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The sharp Sobolev inequality in quantitative form

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A selection principle for the sharp quantitative isoperimetric inequality

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Droplet Minimizers of an Isoperimetric Problem with Long-Range Interactions

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A Quantitative Analysis of Metrics on $\mathbb{R}^n$ with Almost Constant Positive Scalar Curvature, with Applications to Fast Diffusion Flows

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On the Shape of Compact Hypersurfaces with Almost-Constant Mean Curvature

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Q5693323

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Elliptic equations of Yamabe type

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Conformal deformation of a Riemannian metric to a scalar flat metric with constant mean curvature on the boundary

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The Yamabe problem on manifolds with boundary

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On the sharp stability of critical points of the Sobolev inequality

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A mass transportation approach to quantitative isoperimetric inequalities

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Sharp stability theorems for the anisotropic Sobolev and log-Sobolev inequalities on functions of bounded variation

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Gradient stability for the Sobolev inequality: the case $p\geq 2$

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The quantitative isoperimetric inequality and related topics

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The sharp quantitative isoperimetric inequality

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From graph cuts to isoperimetric inequalities: convergence rates of Cheeger cuts on data clouds

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On the symmetry and monotonicity of Morrey extremals

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A compactness theorem for the Yamabe problem

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Isoperimetry with upper mean curvature bounds and sharp stability estimates

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The Yamabe problem

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YAMABE TYPE EQUATIONS ON THREE DIMENSIONAL RIEMANNIAN MANIFOLDS

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The concentration-compactness principle in the calculus of variations. The locally compact case. II

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Conformal deformation of a Riemannian metric to constant scalar curvature

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Asymptotics for a class of non-linear evolution equations, with applications to geometric problems

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Identifiers

zbMATH Open document ID

1497.26021

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DOI

10.1090/btran/111

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5864303