Vanishing-concentration-compactness alternative for the Trudinger–Moser inequality in ℝN

DOI10.1142/S021919971650036XzbMath1385.46022OpenAlexW2366947675MaRDI QIDQ4594988

Cristina Tarsi, Federica Sani, João Marcos Bezerra do Ó

Publication date: 27 November 2017

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021919971650036x

zbMATH Keywords

Trudinger-Moser inequalityvanishing-concentration-compactness alternative

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) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items (9)

Finsler Trudinger-Moser inequalities on \(\mathbb{R}^2\) ⋮ 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 ⋮ Equivalence of subcritical and critical Adams inequalities in \(W^{m,2}(\mathbb{R}^{2m})\) and existence and non-existence of extremals for Adams inequalities under inhomogeneous constraints ⋮ Existence and non-existence of maximizers for the Moser-Trudinger type inequalities under inhomogeneous constraints ⋮ Maximizers for the variational problems associated with Sobolev type inequalities under constraints ⋮ 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 ⋮ Vanishing-concentration-compactness alternative for critical Sobolev embedding with a general integrand in \(\mathbb{R}^2\)

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