A Singular Moser-Trudinger Inequality on Metric Measure Space

DOI10.4208/jpde.v35.n4.3OpenAlexW4312805608WikidataQ115209397 ScholiaQ115209397MaRDI QIDQ5039964

Yaoting Gui

Publication date: 11 October 2022

Published in: Journal of Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/jpde.v35.n4.3

zbMATH Keywords

metric measure spaceAhlfors regularitysingular Moser-Trudinger inequality

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) Potential theory on fractals and metric spaces (31E05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A Hardy-Moser-Trudinger inequality
• Blow-up analysis concerning singular Trudinger-Moser inequalities in dimension two
• A sharp inequality of J. Moser for higher order derivatives
• Sharp borderline Sobolev inequalities on compact Riemannian manifolds
• Sobolev-Poincaré implies John
• Sobolev spaces on an arbitrary metric space
• On singular Trudinger-Moser type inequalities for unbounded domains and their best exponents
• In metric-measure spaces Sobolev embedding is equivalent to a lower bound for the measure
• A singular Moser-Trudinger embedding and its applications
• On a class of singular Trudinger-Moser type inequalities and its applications
• Sobolev met Poincaré
• On Certain Convolution Inequalities