Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4592123 | Journal of Functional Analysis | 2007 | 26 Pages |
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 Lusternik–Schnirelmann category and the Poincaré polynomial of the manifold.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory