The Equivariant Second Yamabe Constant

Abstract

For a closed Riemannian manifold of dimension $n\ge 3$ and a subgroup $G$ of the isometry group, we define and study the $G-$equivariant second Yamabe constant and we obtain some results on the existence of $G-$invariant nodal solutions of the Yamabe equation.

28 pages. Minor changes. To appear in J. Geom. Anal