| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4592950 | Journal of Functional Analysis | 2006 | 36 Pages |
Abstract
Let (M,g) be a compact Riemannian manifold of dimension n⩾3. We define the second Yamabe invariant as the infimum of the second eigenvalue of the Yamabe operator over the metrics conformal to g and of volume 1. We study when it is attained. As an application, we find nodal solutions of the Yamabe equation.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
