A critical Trudinger-Moser inequality involving a degenerate potential and nonlinear Schrödinger equations (Q2037792)

scientific article; zbMATH DE number 7369804

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English	A critical Trudinger-Moser inequality involving a degenerate potential and nonlinear Schrödinger equations	scientific article; zbMATH DE number 7369804

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instance of

scholarly article

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title

A critical Trudinger-Moser inequality involving a degenerate potential and nonlinear Schrödinger equations (English)

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Science China. Mathematics

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publication date

8 July 2021

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zbMATH Keywords

Schrödinger equations

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Trudinger-Moser inequalities

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degenerate potential

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existence of ground state solutions

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Nehari manifold

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1007/s11425-020-1872-x

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cites work

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Ground states of bi-harmonic equations with critical exponential growth involving constant and trapping potentials

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Existence and nonexistence of extremals for critical Adams inequalities in $\mathbb{R}^4$ and Trudinger-Moser inequalities in $\mathbb{R}^2$

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

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

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On nonlinear Schrödinger equations with totally degenerate potentials

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

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Q5614914

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On a class of nonlinear Schrödinger equations

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

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Ground States for Elliptic Equations in $\pmb{\mathbb{R}}^{2}$ with Exponential Critical Growth

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Q5547919

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On concentration of positive bound states of nonlinear Schrödinger equations

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Sharp weighted Trudinger-Moser inequalities with the $L^n$ norm in the entire space $\mathbb{R}^n$ and existence of their extremal functions

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Existence of positive solutions to quasi-linear elliptic equations with exponential growth in the whole Euclidean space

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

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Identifiers

zbMATH Open document ID

1468.35040

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Mathematics Subject Classification ID

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10.1007/S11425-020-1872-X

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Sitelinks

Mathematics(1 entry)

mardi Publication:2037792