Extremal of log-Sobolev functionals and Li-Yau estimate on \(\mathrm{RCD}^* (K,N)\) spaces (Q6152012)

scientific article; zbMATH DE number 7815294

Language	Label	Description	Also known as
English	Extremal of log-Sobolev functionals and Li-Yau estimate on \(\mathrm{RCD}^* (K,N)\) spaces	scientific article; zbMATH DE number 7815294

Statements

instance of

scholarly article

0 references

title

Extremal of log-Sobolev functionals and Li-Yau estimate on \(\mathrm{RCD}^* (K,N)\) spaces (English)

0 references

0 references

0 references

0 references

11 March 2024

0 references

full work available at URL

https://arxiv.org/abs/2207.01800

0 references

zbMATH Keywords

log-Sobolev functional

0 references

metric measure space

0 references

Li-Yau inequality

0 references

curvature-dimension condition

0 references

extremal function

0 references

MaRDI profile type

MaRDI publication profile

0 references

cites work

Logarithmic Sobolev Inequalities

0 references

Generalization of an inequality by Talagrand and links with the logarithmic Sobolev inequality

0 references

Analysis and Geometry of Markov Diffusion Operators

0 references

Extremal of log Sobolev inequality and \(W\) entropy on noncompact manifolds

0 references

Equality in the logarithmic Sobolev inequality

0 references

On the geometry of metric measure spaces. I

0 references

On the geometry of metric measure spaces. II

0 references

Ricci curvature for metric-measure spaces via optimal transport

0 references

Metric measure spaces with Riemannian Ricci curvature bounded from below

0 references

On the equivalence of the entropic curvature-dimension condition and Bochner's inequality on metric measure spaces

0 references

Nonlinear Diffusion Equations and Curvature Conditions in Metric Measure Spaces

0 references

On the Bakry-Émery condition, the gradient estimates and the local-to-global property of \(\mathrm{RCD}^*(K,N)\) metric measure spaces

0 references

Nonsmooth differential geometry– An approach tailored for spaces with Ricci curvature bounded from below

0 references

Structure theory of metric measure spaces with lower Ricci curvature bounds

0 references

Li-Yau and Harnack type inequalities in \(\text{RCD}^\ast (K,N)\) metric measure spaces

0 references

The Li-Yau inequality and heat kernels on metric measure spaces

0 references

Hamilton's gradient estimates and a monotonicity formula for heat flows on metric measure spaces

0 references

Localized elliptic gradient estimate for solutions of the heat equation on \({ RCD}^\ast(K,N)\) metric measure spaces

0 references

Local Li-Yau's estimates on \(RCD^\ast(K,N)\) metric measure spaces

0 references

Logarithmic Sobolev inequalities and the spectrum of Schrödinger operators

0 references

Sharp and rigid isoperimetric inequalities in metric-measure spaces with lower Ricci curvature bounds

0 references

Local curvature-dimension condition implies measure-contraction property

0 references

Regularity of quasi-minimizers on metric spaces

0 references

Harnack inequalities for log-Sobolev functions and estimates of log-Sobolev constants

0 references

Lectures on nonsmooth differential geometry

0 references

Calculus and heat flow in metric measure spaces and applications to spaces with Ricci bounds from below

0 references

Rigidity for the spectral gap on Rcd(K, ∞)-spaces

0 references

A PDE approach to nonlinear potential theory in metric measure spaces

0 references

Local spectral convergence in \(\mathrm{RCD}^\ast(K, N)\) spaces

0 references

Localization and tensorization properties of the curvature-dimension condition for metric measure spaces

0 references

The globalization theorem for the curvature-dimension condition

0 references

Riemannian Ricci curvature lower bounds in metric measure spaces with 𝜎-finite measure

0 references

Bakry-Émery curvature-dimension condition and Riemannian Ricci curvature bounds

0 references

Interpolated measures with bounded density in metric spaces satisfying the curvature-dimension conditions of Sturm

0 references

Nonlinear potential theory on metric spaces

0 references

Quasi-continuous vector fields on RCD spaces

0 references

Newtonian spaces: An extension of Sobolev spaces to metric measure spaces

0 references

Differentiability of Lipschitz functions on metric measure spaces

0 references

Density of Lipschitz functions and equivalence of weak gradients in metric measure spaces

0 references

Lipschitz continuity of Cheeger-harmonic functions in metric measure spaces

0 references

Rigidity and almost rigidity of Sobolev inequalities on compact spaces with lower Ricci curvature bounds

0 references

The sharp Sobolev inequality on metric measure spaces with lower Ricci curvature bounds

0 references

Sobolev met Poincaré

0 references

Modulus and the Poincaré inequality on metric measure spaces

0 references

Sharp geometric and functional inequalities in metric measure spaces with lower Ricci curvature bounds

0 references

Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)

0 references

Non-branching geodesics and optimal maps in strong \(CD(K,\infty)\)-spaces

0 references

Optimal maps in essentially non-branching spaces

0 references

Dimension-free Harnack inequalities on \(\mathrm{RCD}(K, \infty )\) spaces

0 references

New formulas for the Laplacian of distance functions and applications

0 references

Sobolev Spaces on Metric Measure Spaces

0 references

Identifiers

arXiv ID

2207.01800

0 references

DOI

10.1007/s11118-023-10075-8

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:6152012