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arXiv · 1809.05609

A note on solutions of Yamabe-type equations on products of spheres

Jimmy Petean·Héctor Barrantes G
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Abstract

We consider Yamabe-type equations on the Riemannian product of constant curvature metrics on $\textbf{S}^n \times\textbf{ S}^n$, and study solutions which are invariant by the cohomogeneity one diagonal action of $O(n+1)$. We obtain multiplicity results for both positive and nodal solutions. In particular we prove the existence of nodal solutions of the Yamabe equation on these products which depend non-trivially on both factors

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Jimmy Petean, Héctor Barrantes G. 2018-09-14. A note on solutions of Yamabe-type equations on products of spheres. https://arxiv.org/abs/1809.05609

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