Compactness of conformal metrics with positive gaussian curvature in
Kuo-Shung Cheng, Chang-Shou Lin (1998)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Kuo-Shung Cheng, Chang-Shou Lin (1998)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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J.F. Escobar, R.M. Schoen (1986)
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Annales de l'I.H.P. Analyse non linéaire
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Joyce, Dominic (2003)
International Journal of Mathematics and Mathematical Sciences
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Joachim Lohkamp (1992)
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Malchiodi, Andrea (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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We investigate the gradient flow associated to the prescribed scalar curvature problem on compact riemannian surfaces. We prove the global existence and the convergence at infinity of this flow under sufficient conditions on the prescribed function, which we suppose just continuous. In particular, this gives a uniform approach to solve the prescribed scalar curvature problem for general compact surfaces.
Patricio Aviles (1986)
Inventiones mathematicae
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