An integral equation in conformal geometry

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dc.creatorHang, Fengbo
dc.creatorWang, Xiaodong
dc.creatorYan, Xiaodong
dc.date2007-03-27
dc.date.accessioned2026-07-07T07:54:14Z
dc.date.available2026-07-07T07:54:14Z
dc.descriptionWe study the existence of a metric with zero scalar curvature maximizing the isoperimetric ratio among all zero scalar curvature metrics in a fixed conformal class of metrics on a compact manifold with boundary. The question may be reduced to an extremal problem for the harmonic extension of functions and the related nonlinear integral equation is discussed.
dc.description23 pages
dc.identifierhttps://arxiv.org/abs/math/0703821
dc.identifierhttp://arxiv.org/abs/math/0703821
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/126528
dc.subjectAnalysis of PDEs
dc.subjectDifferential Geometry
dc.subject45G05, 53A30
dc.titleAn integral equation in conformal geometry
dc.typetext

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