Singular weighted sharp Trudinger-Moser inequalities defined on $\mathbb{R}^N$ and applications to elliptic nonlinear equations (Q2070883)

scientific article; zbMATH DE number 7463730

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English	Singular weighted sharp Trudinger-Moser inequalities defined on $\mathbb{R}^N$ and applications to elliptic nonlinear equations	scientific article; zbMATH DE number 7463730

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scholarly article

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title

Singular weighted sharp Trudinger-Moser inequalities defined on $\mathbb{R}^N$ and applications to elliptic nonlinear equations (English)

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Discrete and Continuous Dynamical Systems

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publication date

24 January 2022

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zbMATH Keywords

Trudinger-Moser inequality

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radial functions

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sharpness

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logarithmic weights

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concentration-compactness

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.3934/dcds.2021137

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cites work

On a weighted Trudinger-Moser inequality in $\mathbb{R}^N$

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

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Q3581209

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Nonlinear Schrödinger equation with unbounded or decaying radial potentials involving exponential critical growth in $\mathbb R^2$

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Sharp constant and extremal function for weighted Trudinger-Moser type inequalities in $\mathbb R^2$

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A weighted Trudinger-Moser type inequality and its applications to quasilinear elliptic problems with critical growth in the whole Euclidean space

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Existence and concentration of ground state solutions for a critical nonlocal Schrödinger equation in $\mathbb R^2$

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A new Trudinger-Moser type inequality and an application to some elliptic equation with doubly exponential nonlinearity in the whole space $\mathbb{R}^2 $

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A new singular Trudinger-Moser type inequality with logarithmic weights and applications

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On some elliptic equation in the whole Euclidean space $\mathbb{R}^2$ with nonlinearities having new exponential growth condition

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New weighted sharp Trudinger-Moser inequalities defined on the whole euclidean space $\mathbb{R}^N$ and applications

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Functional analysis, Sobolev spaces and partial differential equations

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Some Weighted Inequalities of Trudinger–Moser Type

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Weighted Trudinger-Moser inequalities and associated Liouville type equations

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On Trudinger-Moser type inequalities with logarithmic weights

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Trudinger-Moser type inequalities with logarithmic weights in dimension $N$

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Elliptic equations in dimension 2 with double exponential nonlinearities

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Weighted Sobolev Spaces and Degenerate Elliptic Equations

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Elliptic equations in $R^ 2$ with nonlinearities in the critical growth range

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$N$-Laplacian problems with critical double exponential nonlinearities

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Trudinger-Moser type inequalities for weighted Sobolev spaces involving fractional dimensions

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Semilinear Dirichlet problems for the $N$-Laplacian in $\mathbb{R}^ N$ with nonlinearities in the critical growth range

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On a weighted Trudinger-Moser type inequality on the whole space and related maximizing problem.

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Extremal function for Moser-Trudinger type inequality with logarithmic weight

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Concentration-compactness principle for Trudinger-Moser inequalities with logarithmic weights and their applications

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Identifiers

zbMATH Open document ID

1482.35016

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Mathematics Subject Classification ID

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Mathematics(1 entry)

mardi Publication:2070883

Singular weighted sharp Trudinger-Moser inequalities defined on \(\mathbb{R}^N\) and applications to elliptic nonlinear equations (Q2070883)

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Mathematics(1 entry)