Geodesic
Multiplicity of Solutions for a Mean Field Equation on Compact Surfaces
Bollettino della Unione matematica italiana, Série 9, Tome 4 (2011) no. 2, pp. 245-257

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

$\rho$ belongs to $(8\pi, 4\pi^{2})$ we show under some extra assumptions that, as conjectured in [9], the functional admits at least three saddle points other than a local minimum. 
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     author = {de Marchis, Francesca},
     title = {Multiplicity of {Solutions} for a {Mean} {Field} {Equation} on {Compact} {Surfaces}},
     journal = {Bollettino della Unione matematica italiana},
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     year = {2011},
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de Marchis, Francesca. Multiplicity of Solutions for a Mean Field Equation on Compact Surfaces. Bollettino della Unione matematica italiana, Série 9, Tome 4 (2011) no. 2, pp. 245-257. http://geodesic.mathdoc.fr/item/BUMI_2011_9_4_2_a4/