Remarks on the fractional Moser-Trudinger inequality
type: Item
instance of: scholarly article
title: Remarks on the fractional Moser-Trudinger inequality
author: Firoj Sk
published in: Journal d'Analyse Mathématique
publication date: 2022-12-29T00:00:00Z
full work available at URL: https://arxiv.org/abs/2002.11747
review text: The author studies fractional Sobolev spaces. Precisely, extensions of the fractional Moser-Trudinger inequality to domains in $\mathbb R^n$ having infinite measure are considered. By removing some terms of the Taylor series expansion of the exponential function the sharpness of the requested inequality is obtained. Moreover, the author obtains some Adachi-Tanaka type inequalities in the non-local setting.
reviewed by: Maria Alessandra Ragusa
Mathematics Subject Classification ID: 46E35
Mathematics Subject Classification ID: 35A23
Mathematics Subject Classification ID: 26D10
zbMATH DE Number: 7637562
zbMATH Keywords: Moser-Trudinger inequality
zbMATH Keywords: fractional inequality
MaRDI profile type: Publication
OpenAlex ID: W3007096774
cites work: Trudinger type inequalities in $\mathbf {R}^N$ and their best exponents
cites work: A sharp inequality of J. Moser for higher order derivatives
cites work: A singular Moser-Trudinger embedding and its applications
cites work: Symmetric Decreasing Rearrangement Is Sometimes Continuous
cites work: Remarks on the Moser-Trudinger inequality
cites work: Q3159214
cites work: The fractional Cheeger problem
cites work: Stability of variational eigenvalues for the fractional \(p\)-Laplacian
cites work: On Trudinger-Moser type inequalities with logarithmic weights
cites work: Study of fractional Poincaré inequalities on unbounded domains
cites work: On fractional Poincaré inequality for unbounded domains with finite ball conditions: counter example
cites work: Singular Moser–Trudinger inequality on simply connected domains
cites work: Fractional Adams-Moser-Trudinger type inequality on Heisenberg group
cites work: Symmetrization Inequalities for Composition Operators of Carathéodory type
cites work: Moser functions and fractional Moser-Trudinger type inequalities
cites work: A note on the Moser-Trudinger inequality in Sobolev-Slobodeckij spaces in dimension one
cites work: A fractional Moser-Trudinger type inequality in one dimension and its critical points.
cites work: Q5480316
cites work: A sharp Trudinger-Moser type inequality for unbounded domains in $\mathbb{R}^n$
cites work: Analysis.
cites work: Hardy inequalities for fractional integrals on general domains
cites work: MOSER–TRUDINGER INEQUALITY ON CONFORMAL DISCS
cites work: Fractional Adams-Moser-Trudinger type inequalities
cites work: On the Bourgain, Brezis, and Mironescu theorem concerning limiting embeddings of fractional Sobolev spaces
cites work: Q5603485
cites work: Hitchhiker's guide to the fractional Sobolev spaces
cites work: On the Moser-Trudinger inequality in fractional Sobolev-Slobodeckij spaces
cites work: Bifurcation results for problems with fractional Trudinger-Moser nonlinearity
cites work: Fractional eigenvalue problems that approximate Steklov eigenvalue problems
cites work: A sharp Trudinger-Moser type inequality for unbounded domains in \(\mathbb R^2\)
cites work: Critical and subcritical fractional Trudinger-Moser-type inequalities on \(\mathbb{R}\)
cites work: Singular Trudinger-Moser inequality and fractional \(p\)-Laplace equations in \(\mathbb{R}^N\)
cites work: Q5547919
cites work: Trudinger-Moser inequalities in fractional Sobolev-Slobodeckij spaces and multiplicity of weak solutions to the fractional-Laplacian equation
DOI: 10.1007/S11854-022-0234-3
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description: scientific article; zbMATH DE number 7637562