Maps with prescribed tension fields

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dc.creatorChen, Wenyi
dc.creatorJost, Juergen
dc.date2003-12-11
dc.date.accessioned2026-07-07T05:03:48Z
dc.date.available2026-07-07T05:03:48Z
dc.descriptionWe consider maps into Riemannian manifolds of non-positive curvature and start developing a systematic PDE theory. We control the Sobolev $H^{2,2}$-norm of such a map in terms of its energy, the $L^2$-norm of its tension field and a topological term depending on the homotopy class. We also solve a Dirchlet problem without an underlying variational structure, as an extension of the topic of harmonic maps with potentials.
dc.descriptionTo appear in Comm.Anal.Geom
dc.identifierhttps://arxiv.org/abs/math/0312233
dc.identifierhttp://arxiv.org/abs/math/0312233
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69564
dc.subjectDifferential Geometry
dc.subjectAnalysis of PDEs
dc.subject58E20
dc.titleMaps with prescribed tension fields
dc.typetext

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