Reference : A stochastic approach to a priori estimates and Liouville theorems for harmonic maps
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/13645
A stochastic approach to a priori estimates and Liouville theorems for harmonic maps
English
Thalmaier, Anton mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit]
Wang, Feng-Yu [Beijing Normal University > School of Mathematical Sciences]
2011
Bulletin des Sciences Mathématiques
Gauthier-Villars
135
6-7
816-843
Yes (verified by ORBilu)
International
0007-4497
Paris
France
[en] Nonlinear versions of Bismut type formulas for the differential of a harmonic map between Riemannian manifolds are used to establish a priori estimates for harmonic maps. A variety of Liouville type theorems is shown to follow as corollaries from such estimates by exhausting the domain through an increasing sequence of geodesic balls. This probabilistic method is well suited for proving sharp estimates under various curvature conditions. We discuss Liouville theorems for harmonic maps under the following conditions: small image, sublinear growth, non-positively curved targets, generalized bounded dilatation, Liouville manifolds as domains, certain asymptotic behaviour.
Researchers ; Professionals ; Students
http://hdl.handle.net/10993/13645
10.1016/j.bulsci.2011.07.014
http://dx.doi.org/10.1016/j.bulsci.2011.07.014

File(s) associated to this reference

Fulltext file(s):

FileCommentaryVersionSizeAccess
Open access
PM_Thalm_Wang.pdfPublisher postprint224.94 kBView/Open

Bookmark and Share SFX Query

All documents in ORBilu are protected by a user license.