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arXiv · 2301.07817

Multiplicity of 2-nodal solutions the Yamabe equation

Jorge DÁvila·Héctor Barrantes G.·Isidro H. Munive
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Abstract

Given any closed Riemannian manifold $(M, g)$, we use the gradient flow method and Sign-Changing Critical Point Theory to prove multiplicity results for 2-nodal solutions of a subcritical Yamabe type equation on $(M, g)$. If $(N, h)$ is a closed Riemannian manifold of constant positive scalar curvature our result gives multiplicity results for the type Yamabe equation on the Riemannian product $(M x N, g + \epsilon h)$, for $\epsilon > 0$ small.

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Jorge DÁvila, Héctor Barrantes G., Isidro H. Munive. 2023-01-18. Multiplicity of 2-nodal solutions the Yamabe equation. https://arxiv.org/abs/2301.07817

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