A Sharp Adams-Type Inequality for Weighted Sobolev Spaces

DOI10.1093/QMATHJ/HAZ051zbMath1456.46029OpenAlexW3005537995MaRDI QIDQ5114490

José Francisco De Oliveira, Abiel Costa Macedo, João Marcos Bezerra do Ó

Publication date: 24 June 2020

Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/qmathj/haz051

zbMATH Keywords

Trudinger-Moser inequalitysharp Adams-type inequality

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10)

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Estimate for concentration level of the Adams functional and extremals for Adams-type inequality ⋮ Sharp higher order Adams' inequality with exact growth condition on weighted Sobolev spaces ⋮ On a sharp inequality of Adimurthi-Druet type and extremal functions ⋮ Equivalence of critical and subcritical sharp Trudinger-Moser inequalities in fractional dimensions and extremal functions ⋮ Extremal functions for a supercritical \(k\)-Hessian inequality of Sobolev-type ⋮ Constant 𝑄-curvature metrics with a singularity

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