The second Yamabe invariant |
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| Authors: | B Ammann |
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| Institution: | Institut Élie Cartan BP 239, Université de Nancy 1, 54506 Vandoeuvre-lès, Nancy cedex, France |
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| 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. |
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| Keywords: | Analysis of Riemannian manifolds Nodal solutions of elliptic PDEs Yamabe problem |
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