Sharp affine Trudinger–Moser inequalities: A new argument (Q5019185)

scientific article; zbMATH DE number 7451282

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English	Sharp affine Trudinger–Moser inequalities: A new argument	scientific article; zbMATH DE number 7451282

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instance of

scholarly article

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title

Sharp affine Trudinger–Moser inequalities: A new argument (English)

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Canadian Mathematical Bulletin

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publication date

3 January 2022

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zbMATH Keywords

$L_p$ Busemann-Petty centroid inequality

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affine energy

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Trudinger-Moser inequality

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MaRDI profile type

MaRDI publication profile

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cites work

Trudinger type inequalities in $\mathbf {R}^N$ and their best exponents

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Fundamental solution for the $Q$-Laplacian and sharp Moser--Trudinger inequality in Carnot groups.

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Moser-Trudinger and Beckner-Onofri's inequalities on the CR sphere

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The inequality of Moser and Trudinger and applications to conformal geometry

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Affine Moser-Trudinger and Morrey-Sobolev inequalities

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Best constants for Moser-Trudinger inequalities on the Heisenberg group

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Best constants for Moser-Trudinger inequalities, fundamental solutions and one-parameter representation formulas on groups of Heisenberg type

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Sharp constants for Moser‐Trudinger inequalities on spheres in complex space ℂn

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Extremal functions for the singular Moser-Trudinger inequality in 2 dimensions

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$N$-Laplacian equations in $\mathbb{R}^N$ with critical growth

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Sharp weighted Trudinger-Moser and Caffarelli-Kohn-Nirenberg inequalities and their extremal functions

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Extremal functions for the Trudinger-Moser inequality in 2 dimensions

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Sharp borderline Sobolev inequalities on compact Riemannian manifolds

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Adams inequalities on measure spaces

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General $L_{p}$ affine isoperimetric inequalities

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An asymmetric affine Pólya-Szegő principle

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Asymmetric Blaschke-Santaló functional inequalities

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Sharp affine Sobolev type inequalities via the $L_{p}$ Busemann-Petty centroid inequality

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Sharp Adams type inequalities in Sobolev spaces $W^{m,\frac{n}{m}}(\mathbb R^n)$ for arbitrary integer $m$

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Sharp Moser-Trudinger inequality on the Heisenberg group at the critical case and applications

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Existence and nonexistence of extremal functions for sharp Trudinger-Moser inequalities

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Sharp constants for weighted Moser-Trudinger inequalities on groups of Heisenberg type

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Extremal functions for the Moser-Trudinger inequalities on compact Riemannian manifolds

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Extremal functions for Moser’s inequality

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The Brunn-Minkowski-Firey theory. II: Affine and geominimal surface areas

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$L_ p$ affine isoperimetric inequalities.

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Trudinger-Moser Inequalities with the Exact Growth Condition in ℝNand Applications

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New approach to the affine Pólya-Szegö principle and the stability version of the affine Sobolev inequality

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Convolution operators and L(p, q) spaces

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Centroid surfaces

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A sharp Trudinger-Moser type inequality for unbounded domains in $\mathbb R^2$

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Fractional Sobolev, Moser-Trudinger, Morrey-Sobolev inequalities under Lorentz norms

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full work available at URL

https://doi.org/10.4153/s0008439520000806

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Identifiers

zbMATH Open document ID

1490.46031

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DOI

10.4153/S0008439520000806

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5019185