de Marchis: Multiplicity of Solutions for a Mean Field Equation on Compact Surfaces

de Marchis, Francesca:
Multiplicity of Solutions for a Mean Field Equation on Compact Surfaces
Bollettino dell'Unione Matematica Italiana Serie 9 4 (2011), fasc. n.2, p. 245-257, (English)
pdf (291 Kb), djvu (139 Kb). | MR 2840605 | Zbl 1237.81119

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$\rho$ 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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Referenze Bibliografiche