| Title | Multiplicity of solutions for a mean field equation on compact surfaces |
| Publication Type | Journal Article |
| Year of Publication | 2011 |
| Authors | De Marchis, F |
| Journal | Boll. Unione Mat. Ital.(9) |
| Volume | 4 |
| Pagination | 245–257 |
| Abstract | We consider a scalar field equation on compact surfaces which has variational structure. When the surface is a torus and a physical parameter ρ 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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