Caffarelli-Kohn-Nirenberg identities, inequalities and their stabilities (Q6188319)

scientific article; zbMATH DE number 7800986

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English	Caffarelli-Kohn-Nirenberg identities, inequalities and their stabilities	scientific article; zbMATH DE number 7800986

Statements

instance of

scholarly article

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title

Caffarelli-Kohn-Nirenberg identities, inequalities and their stabilities (English)

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arXiv ID

2211.14622

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DOI

10.1016/j.matpur.2023.12.007

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Journal de Mathématiques Pures et Appliquées. Neuvième Série

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publication date

7 February 2024

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full work available at URL

https://arxiv.org/abs/2211.14622

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Mathematics Subject Classification ID

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Caffarelli-Kohn-Nirenberg inequalities

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stability inequalities

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sharp constants

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extremal functions

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MaRDI profile type

MaRDI publication profile

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The analysis and geometry of Hardy's inequality

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Functional Inequalities: New Perspectives and New Applications

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Nonlinear ground state representations and sharp Hardy inequalities

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\(p\)-Bessel pairs, Hardy's identities and inequalities and Hardy-Sobolev inequalities with monomial weights

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Sharp Hardy identities and inequalities on Carnot groups

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Factorizations and Hardy's type identities and inequalities on upper half spaces

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Q3676658

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Maximizers for fractional Caffarelli-Kohn-Nirenberg and Trudinger-Moser inequalities on the fractional Sobolev spaces

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Rigidity results with applications to best constants and symmetry of Caffarelli-Kohn-Nirenberg and logarithmic Hardy inequalities

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Rigidity versus symmetry breaking via nonlinear flows on cylinders and Euclidean spaces

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Existence of extremal functions for higher-order Caffarelli-Kohn-Nirenberg inequalities

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Sharp Caffarelli-Kohn-Nirenberg-type inequalities on Carnot groups

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Sharp constants and optimizers for a class of Caffarelli-Kohn-Nirenberg inequalities

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Local and global interpolation inequalities on the Folland-Stein Sobolev spaces and polynomials on stratified groups

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Polynomials, higher order Sobolev extension theorems and interpolation inequalities on weighted Folland-Stein spaces on stratified groups

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\(L^p\) Hardy's identities and inequalities for Dunkl operators

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Short proofs of refined sharp Caffarelli-Kohn-Nirenberg inequalities

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Sobolev inequalities with remainder terms

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Remainder terms in the fractional Sobolev inequality

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Functionals for multilinear fractional embedding

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Q3818662

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On a Sobolev inequality with remainder terms

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A Sobolev inequality with remainder term and critical equations on domains with topology for the polyharmonic operator

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The sharp Sobolev inequality in quantitative form

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

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Quantitative stability for the Heisenberg-Pauli-Weyl inequality

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A short proof of quantitative stability for the Heisenberg-Pauli-Weyl inequality

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Quantitative logarithmic Sobolev inequalities and stability estimates

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Quantitative stability for sumsets in \(\mathbb R^n\)

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

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Mathematics(1 entry)

mardi Publication:6188319