Equivalence of sharp Trudinger-Moser inequalities in Lorentz-Sobolev spaces

DOI10.1007/S11118-019-09769-9zbMath1456.46034OpenAlexW2912767042WikidataQ128423231 ScholiaQ128423231MaRDI QIDQ778182

Hanli Tang

Publication date: 2 July 2020

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

Full work available at URL: https://doi.org/10.1007/s11118-019-09769-9

zbMATH Keywords

equivalenceLorentz-Sobolev spacescritical Trudinger-Moser inequalitysubcritical Trudinger-Moser inequalities

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Variational methods for second-order elliptic equations (35J20) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items (7)

Sharp Hardy-Sobolev-Maz'ya, Adams and Hardy-Adams inequalities on the Siegel domains and complex hyperbolic spaces ⋮ Existence and non-existence of extremals for critical Adams inequality in any even dimension ⋮ Sharp second-order Adams inequalities in Lorentz-Sobolev spaces ⋮ Sharp higher order Adams' inequality with exact growth condition on weighted Sobolev spaces ⋮ 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 ⋮ Sharp singular Trudinger-Moser inequalities under different norms ⋮ Sharp weighted Trudinger-Moser-Adams inequalities on the whole space and the existence of their extremals

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