Aubin Type Almost sharp Moser–Trudinger Inequality Revisited

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We give a new proof of the almost sharp Moser–Trudinger inequality on smooth compact Riemannian manifolds based on the sharp Moser inequality on Euclidean spaces and generalize it to Riemannian manifolds with continuous metrics and to higher order Sobolev spaces on manifolds with boundary under several boundary conditions. These generalizations can be applied to fourth order Q curvature equations in dimension 4.

Original languageEnglish (US)
Article number230
JournalJournal of Geometric Analysis
Issue number9
StatePublished - Sep 2022


  • Almost sharp Moser–Trudinger inequality
  • Concentration compactness principle
  • Defect measure
  • Paneitz operator
  • Q curvature equations

ASJC Scopus subject areas

  • Geometry and Topology


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