Minimizing pseudo-harmonic maps in manifolds
In this work, we show some regularity and uniqueness results for generalized harmonic maps on target manifolds which are graphs of real-valued functions defined on ellipsoids. As an application, we prove a diffeomorphism property for such harmonic maps in two dimensions.
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| Format: | Article |
| Language: | English |
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Texas State University
2001-05-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2001/37/abstr.html |
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doaj-d88ef630063744fc95dcaf748cb1d7832020-11-25T00:29:45ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912001-05-01200137115Minimizing pseudo-harmonic maps in manifoldsYuxin GeIn this work, we show some regularity and uniqueness results for generalized harmonic maps on target manifolds which are graphs of real-valued functions defined on ellipsoids. As an application, we prove a diffeomorphism property for such harmonic maps in two dimensions. http://ejde.math.txstate.edu/Volumes/2001/37/abstr.htmlharmonic mapsdiffeomorphismuniquenessregularity. |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Yuxin Ge |
| spellingShingle |
Yuxin Ge Minimizing pseudo-harmonic maps in manifolds Electronic Journal of Differential Equations harmonic maps diffeomorphism uniqueness regularity. |
| author_facet |
Yuxin Ge |
| author_sort |
Yuxin Ge |
| title |
Minimizing pseudo-harmonic maps in manifolds |
| title_short |
Minimizing pseudo-harmonic maps in manifolds |
| title_full |
Minimizing pseudo-harmonic maps in manifolds |
| title_fullStr |
Minimizing pseudo-harmonic maps in manifolds |
| title_full_unstemmed |
Minimizing pseudo-harmonic maps in manifolds |
| title_sort |
minimizing pseudo-harmonic maps in manifolds |
| publisher |
Texas State University |
| series |
Electronic Journal of Differential Equations |
| issn |
1072-6691 |
| publishDate |
2001-05-01 |
| description |
In this work, we show some regularity and uniqueness results for generalized harmonic maps on target manifolds which are graphs of real-valued functions defined on ellipsoids. As an application, we prove a diffeomorphism property for such harmonic maps in two dimensions. |
| topic |
harmonic maps diffeomorphism uniqueness regularity. |
| url |
http://ejde.math.txstate.edu/Volumes/2001/37/abstr.html |
| work_keys_str_mv |
AT yuxinge minimizingpseudoharmonicmapsinmanifolds |
| _version_ |
1725330210627256320 |