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Harmonic maps from degenerating Riemann surfaces
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Zhu, Miaomiao. (2010) Harmonic maps from degenerating Riemann surfaces. Mathematische Zeitschrift, Vol.264 (No.1). pp. 63-85. ISSN 0025-5874
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Official URL: http://dx.doi.org/10.1007/s00209-008-0452-0
Abstract
We study harmonic maps from degenerating Riemann surfaces with uniformly bounded energy and show the so-called generalized energy identity. We find conditions that are both necessary and sufficient for the compactness in W 1,2 and C 0 modulo bubbles of sequences of such maps.
| Item Type: | Journal Article |
|---|---|
| Divisions: | Faculty of Science > Mathematics |
| Journal or Publication Title: | Mathematische Zeitschrift |
| Publisher: | Springer |
| ISSN: | 0025-5874 |
| Date: | 2010 |
| Volume: | Vol.264 |
| Number: | No.1 |
| Page Range: | pp. 63-85 |
| Identification Number: | 10.1007/s00209-008-0452-0 |
| Status: | Peer Reviewed |
| Publication Status: | Published |
| URI: | http://wrap.warwick.ac.uk/id/eprint/48998 |
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