Equivalence of sharp Trudinger-Moser-Adams inequalities

DOI10.3934/cpaa.2017047zbMath1364.35014OpenAlexW2594085107MaRDI QIDQ519545

Lam Hoang Nguyen

Publication date: 5 April 2017

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2017047

zbMATH Keywords

best constantsTrudinger-Moser inequalitiesAdams inequalitiesLions typeoptimizers

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities for sums, series and integrals (26D15) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items (7)

Concentration-compactness principle of singular Trudinger-Moser inequalities in \(\mathbb{R}^n\) and \(n\)-Laplace equations ⋮ Finsler Trudinger-Moser inequalities on \(\mathbb{R}^2\) ⋮ Unnamed Item ⋮ Sharp Trudinger-Moser inequalities with monomial weights ⋮ Fractional Trudinger-Moser type inequalities in one dimension ⋮ Sharp weighted Trudinger-Moser-Adams inequalities on the whole space and the existence of their extremals ⋮ Singular Hardy-Trudinger-Moser inequality and the existence of extremals on the unit disc

Cites Work

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