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Morse theory and a scalar field equation on compact surfaces
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Malchiodi, A. (2008) Morse theory and a scalar field equation on compact surfaces. Advances in Differential Equations, Vol.13 (No.11-12). pp. 1109-1129. ISSN 1079-9389.
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Official URL: http://projecteuclid.org/euclid.ade/1355867288
Abstract
he aim of this paper is to study a nonlinear scalar field equation on a surface Σ via a Morse-theoretical approach, based on some of the methods in [25]. Employing these ingredients, we derive an alternative and direct proof (plus a clear interpretation) of a degree formula obtained in [18], which used refined blow-up estimates from [34] and [17]. Related results are derived for the prescribed Q-curvature equation on four manifolds.
Item Type: | Journal Article | ||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Advances in Differential Equations | ||||
Publisher: | Khayyam Publishing Company, Inc. | ||||
ISSN: | 1079-9389 | ||||
Official Date: | 2008 | ||||
Dates: |
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Volume: | Vol.13 | ||||
Number: | No.11-12 | ||||
Page Range: | pp. 1109-1129 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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