Multiplicity of Solutions for a Mean Field Equation on Compact Surfaces

de Marchis, Francesca

Bollettino dell'Unione Matematica Italiana, Tome 4 (2011), p. 245-257 / Harvested from Biblioteca Digitale Italiana di Matematica

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Résumé

$\rho$ 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.

Publié le : 2011-06-01

MR 2840605 | Zbl 1237.81119

@article{BUMI_2011_9_4_2_245_0,
     author = {Francesca de Marchis},
     title = {Multiplicity of Solutions for a Mean Field Equation on Compact Surfaces},
     journal = {Bollettino dell'Unione Matematica Italiana},
     volume = {4},
     year = {2011},
     pages = {245-257},
     zbl = {1237.81119},
     mrnumber = {2840605},
     language = {en},
     url = {http://dml.mathdoc.fr/item/BUMI_2011_9_4_2_245_0}
}

de Marchis, Francesca. Multiplicity of Solutions for a Mean Field Equation on Compact Surfaces. Bollettino dell'Unione Matematica Italiana, Tome 4 (2011) pp. 245-257. http://gdmltest.u-ga.fr/item/BUMI_2011_9_4_2_245_0/

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