On the maximizing problem associated with critical Sobolev inequality under inhomogeneous constraints

DOI10.1080/17476933.2021.1921751OpenAlexW4319844833MaRDI QIDQ6102591

Nguyen Van Hoang

Publication date: 9 May 2023

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2021.1921751

zbMATH Keywords

critical exponentattainabilitymaximizersSobolev-type embeddings

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities involving derivatives and differential and integral operators (26D10)

Cites Work

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• On the effect of equivalent constraints on a maximizing problem associated with the Sobolev type embeddings in \(\mathbb R^N\)
• Existence and nonexistence of maximizers for variational problems associated with Trudinger--Moser type inequalities in \({\mathbb{R}^N}\)
• Best constant in Sobolev inequality
• Problèmes isoperimetriques et espaces de Sobolev
• Equivalence of critical and subcritical sharp Trudinger-Moser-Adams inequalities
• Existence and non-existence of maximizers for the Moser-Trudinger type inequalities under inhomogeneous constraints
• A sharp Trudinger-Moser type inequality for unbounded domains in \(\mathbb R^2\)
• Maximizers for the variational problems associated with Sobolev type inequalities under constraints
• The thresholds of the existence of maximizers for the critical sharp singular Moser-Trudinger inequality under constraints
• Nontrivial Solution of Semilinear Elliptic Equations with Critical Exponent in R
• Vanishing-concentration-compactness alternative for the Trudinger–Moser inequality in ℝN
• Trudinger type inequalities in $\mathbf {R}^N$ and their best exponents
• On the maximizing problem associated with Sobolev-type embeddings under inhomogeneous constraints
• A sharp Trudinger-Moser type inequality for unbounded domains in $\mathbb{R}^n$

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