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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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 |