On the maximizing problem associated with Sobolev-type embeddings under inhomogeneous constraints

DOI10.1080/00036811.2018.1491971OpenAlexW2884320501WikidataQ129517611 ScholiaQ129517611MaRDI QIDQ5227764

Hidemitsu Wadade, Michinori Ishiwata

Publication date: 7 August 2019

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2018.1491971

zbMATH Keywords

normalized vanishing sequenceSobolev's embedding theoremattainability of maximizing problem

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (5)

On the maximizing problem associated with critical Sobolev inequality under inhomogeneous constraints ⋮ Existence and non-existence of maximizers for a class of weighted variational problems under equivalent constraints ⋮ Asymptotic properties of critical points for subcritical Trudinger-Moser functional ⋮ On the effect of inhomogeneous constraints for a maximizing problem associated with the Sobolev embedding of the space of functions of bounded variation ⋮ The thresholds of the existence of maximizers for the critical sharp singular Moser-Trudinger inequality under constraints

Cites Work

• On the effect of equivalent constraints on a maximizing problem associated with the Sobolev type embeddings in \(\mathbb R^N\)
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• Extremal functions for the Trudinger-Moser inequality in 2 dimensions
• Equivalence of critical and subcritical sharp Trudinger-Moser-Adams inequalities
• 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
• Nontrivial Solution of Semilinear Elliptic Equations with Critical Exponent in R
• Extremal functions for Moser’s inequality
• Sharp Adams-type inequalities in ℝⁿ
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