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Sharp singular Trudinger-Moser inequalities under different norms (Q2311836)

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Language	Label	Description	Also known as
English	Sharp singular Trudinger-Moser inequalities under different norms	scientific article

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scholarly article

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Sharp singular Trudinger-Moser inequalities under different norms (English)

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zbMATH Open document ID

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10.1515/ans-2019-2042

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Lam Hoang Nguyen

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Advanced Nonlinear Studies

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publication date

4 July 2019

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Mathematics Subject Classification ID

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zbMATH DE Number

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zbMATH Keywords

maximizers

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sharp constants

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exact growth

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1515/ans-2019-2042

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

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A singular Moser-Trudinger embedding and its applications

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

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Nonlinear scalar field equations. I: Existence of a ground state

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Nontrivial Solution of Semilinear Elliptic Equations with Critical Exponent in R<sup />

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Sharpened Adams inequality and ground state solutions to the bi-Laplacian equation in \(\mathbb{R}^4\)

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Best constants for Moser-Trudinger inequalities on the Heisenberg group

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On an inequality by N. Trudinger and J. Moser and related elliptic equations

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

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

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Best constants and existence of maximizers for weighted Trudinger-Moser inequalities

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Extremal functions for the Trudinger-Moser inequality in 2 dimensions

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Trudinger-Moser inequality on the whole plane with the exact growth condition

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Existence and nonexistence of maximizers for variational problems associated with Trudinger--Moser type inequalities in \({\mathbb{R}^N}\)

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On the sharp constant for the weighted Trudinger-Moser type inequality of the scaling invariant form

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Upper bound of the best constant of the Trudinger-Moser inequality and its application to the Gagliardo-Nirenberg inequality

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Maximizers for the singular Trudinger-Moser inequalities in the subcritical cases

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Optimizers for the singular Trudinger–Moser inequalities in the critical case in

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

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A new approach to sharp Moser-Trudinger and Adams type inequalities: a rearrangement-free argument

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Sharp Singular Trudinger-Moser-Adams Type Inequalities with Exact Growth

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

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Sharp subcritical Moser-Trudinger inequalities on Heisenberg groups and subelliptic PDEs

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Sharp affine and improved Moser-Trudinger-Adams type inequalities on unbounded domains in the spirit of Lions

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

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Equivalence of critical and subcritical sharp Trudinger-Moser-Adams inequalities

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

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Fourier analysis and optimal Hardy-Adams inequalities on hyperbolic spaces of any even dimension

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Concentration-compactness principle for Trudinger-Moser inequalities on Heisenberg groups and existence of ground state solutions

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

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Extremal functions for Moser-Trudinger type inequality on compact closed 4-manifolds

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

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Extremal functions for Moser’s inequality

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Singular Moser-Trudinger inequality with the exact growth condition in ℝ^n

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Sharp Moser-Trudinger inequalities on hyperbolic spaces with exact growth condition

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Sharp singular Trudinger-Moser inequalities in Lorentz-Sobolev spaces

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Best Constants for Adams’ Inequalities with the Exact Growth Condition in ℝ<sup>n</sup>

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A sharp Trudinger-Moser inequality on any bounded and convex planar domain

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Sharp Hardy-Adams inequalities for bi-Laplacian on hyperbolic space of dimension four

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Adams' inequalities for bi-Laplacian and extremal functions in dimension four

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A sharp Trudinger-Moser type inequality involving \(L^n\) norm in the entire space $\mathbb{R}^n$

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Adams' Inequality with the Exact Growth Condition in ℝ<sup>4</sup>

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Trudinger-Moser Inequalities with the Exact Growth Condition in ℝ<sup><i>N</i></sup>and Applications

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A proof of Trudinger's inequality and its application to nonlinear Schrödinger equations

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On critical cases of Sobolev's inequalities

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

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Existence of solitary waves in higher dimensions

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Equivalence of sharp Trudinger-Moser inequalities in Lorentz-Sobolev spaces

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Trudinger-Moser inequalities in fractional Sobolev-Slobodeckij spaces and multiplicity of weak solutions to the fractional-Laplacian equation

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Concentration-compactness principle of singular Trudinger-Moser inequalities in \(\mathbb{R}^n\) and \(n\)-Laplace equations

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Improved Moser-Trudinger Inequality Involving L<sup>p</sup> Norm in n Dimensions

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