Extremals for logarithmic Hardy-Littlewood-Sobolev inequalities on compact manifolds

DOI10.1007/s00039-007-0636-5zbMath1140.58003arXivmath/0603717OpenAlexW2090433181WikidataQ126116167 ScholiaQ126116167MaRDI QIDQ2480858

K. Okikiolu

Publication date: 3 April 2008

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0603717

zbMATH Keywords

conformal geometryextremal metricspectral invariantsharp logarithmic Hardy-Littlewood-Sobolev inequalitytrace of Green function

Mathematics Subject Classification ID

Partial differential inequalities and systems of partial differential inequalities (35R45) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Equations in function spaces; evolution equations (58D25)

Related Items (11)

Vortices on Closed Surfaces ⋮ Logarithmic Hardy-Littlewood-Sobolev inequality on pseudo-Einstein 3-manifolds and the logarithmic Robin mass ⋮ Gravitational action for a massive Majorana fermion in \(2d\) quantum gravity ⋮ The trace and the mass of subcritical GJMS operators ⋮ Moser-Trudinger and Beckner-Onofri's inequalities on the CR sphere ⋮ Green Function and Self-adjoint Laplacians on Polyhedral Surfaces ⋮ Functional determinant on pseudo-Einstein 3-manifolds ⋮ Random assignment problems on \(2d\) manifolds ⋮ A negative mass theorem for the 2-torus ⋮ The Moser-Trudinger-Onofri inequality ⋮ A negative mass theorem for surfaces of positive genus

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