We show that the number of solutions of a nonlinear elliptic problem on a Riemannian manifold depends on the topological properties of the manifold. In particular we consider the Lustemik-Schnirelmann category and the Pomcare polynomial of the manifold.

On the multiplicity of solutions of a nonlinear elliptic problem on Riemannian manifolds

BENCI, VIERI;BONANNO, CLAUDIO;MICHELETTI, ANNA MARIA
2007

Abstract

We show that the number of solutions of a nonlinear elliptic problem on a Riemannian manifold depends on the topological properties of the manifold. In particular we consider the Lustemik-Schnirelmann category and the Pomcare polynomial of the manifold.
Benci, Vieri; Bonanno, Claudio; Micheletti, ANNA MARIA
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11568/179528
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