Title of article
The second Yamabe invariant
Author/Authors
B. Ammann، نويسنده , , E. Humbert، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2006
Pages
36
From page
377
To page
412
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.
© 2005 Elsevier Inc. All rights reserved.
Keywords
Nodal solutions of elliptic PDEs , Analysis of Riemannian manifolds , Yamabe problem
Journal title
Journal of Functional Analysis
Serial Year
2006
Journal title
Journal of Functional Analysis
Record number
839119
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