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
2007-01-01
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.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
