Sobolev trace inequalities of order four

DOI10.1215/00127094-2017-0014zbMath1378.53046arXiv1509.06069OpenAlexW1903238163MaRDI QIDQ1676348

Antonio G. Ache, Sun Yung Alice Chang

Publication date: 6 November 2017

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.06069

zbMATH Keywords

sharp Sobolev inequalitieshyperbolic spacescattering theoryenergy identitiesfunctional determinants

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Determinants and determinant bundles, analytic torsion (58J52)

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Sharp critical and subcritical trace Trudinger-Moser and Adams inequalities on the upper half-spaces ⋮ Sharp weighted Sobolev trace inequalities and fractional powers of the Laplacian ⋮ Integral inequalities with an extended Poisson kernel and the existence of the extremals ⋮ Extrinsic curvature and conformal Gauss-Bonnet for four-manifolds with corner ⋮ On a class of non-local operators in conformal geometry ⋮ Higher order Sobolev trace inequalities on balls revisited

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